Innovative method for the continuous monitoring of concrete viscoelastic properties since early ages: concept and pilot experiments

The experimental evaluation of viscoelastic properties of concrete is traditionally made upon creep tests that consist in the application of sustained loads either in compression or in tension. This kind of testing demands for specially devised rigs and requires careful monitoring of the evolution of strains, whereas assuring proper load constancy. The characterization of creep behaviour at early ages offers additional challenges due to the strong variations in viscoelastic behaviour of concrete during such stages, demanding for several testing ages to be assessed. The present research work aims to assist in reducing efforts for continuous assessment of viscoelastic properties of concrete at early ages, by application of a dynamic testing technique inspired in methodologies used in polymer science: Dynamic Mechanical Analyses. This paper briefly explains the principles of the proposed methodology and exhibits the first results obtained in a pilot application. The results are promising enough to encourage further developments.

Improving the effort concept: a revision of the traditional approach in the context of controlled Dynamic Stochastic Environments

The objective of this paper is to re-evaluate the attitude to effort of a risk-averse decision-maker in an evolving environment. In the classic analysis, the space of efforts is generally discretized. More realistic, this new approach emploies a continuum of effort levels. The presence of multiple possible efforts and performance levels provides a better basis for explaining real economic phenomena. The traditional approach (see, Laffont, J. J. & Tirole, J., 1993, Salanie, B., 1997, Laffont, J.J. and Martimort, D, 2002, among others) does not take into account the potential effect of the system dynamics on the agent's behavior to effort over time. In the context of a Principal-agent relationship, not only the incentives of the Principal can determine the private agent to allocate a good effort, but also the evolution of the dynamic system. The incentives can be ineffective when the environment does not incite the agent to invest a good effort. This explains why, some effici

An alternative plate tectonic model for the Palaeozoic-Early Mesozoic Palaeotethyan evolution of Southeast Asia (northern Thailand-Myanmar)

An alternative model for the geodynamic evolution of Southeast Asia is proposed and inserted in a modern plate tectonic model. The reconstruction methodology is based on dynamic plate boundaries, constrained by data such as spreading rates and subduction velocities; in this way it differs from classical continental drift models proposed so far. The different interpretations about the location of the Palaeotethys suture in Thailand are revised, the Tertiary Mae Yuam fault is seen as the emplacement of the suture. East of the suture we identify an Indochina derived terrane for which we keep the name Shan-Thai, formerly used to identify the Cimmerian block present in Southeast Asia, now called Sibumasu. This nomenclatural choice was made on the basis of the geographic location of the terrane (Eastern Shan States in Burma and Central Thailand) and in order not to introduce new confusing terminology. The closure of the Eastern Palaeotethys is related to a southward subduction of the ocean, that triggered the Eastern Neotethys to open as a back-arc, due to the presence of Late Carboniferous-Early Permian arc magmatism in Mergui (Burma) and in the Lhasa block (South Tibet), and to the absence of arc magmatism of the same age East of the suture. In order to explain the presence of Carboniferous-Early Permian and Permo-Triassic volcanic arcs in Cambodia, Upper Triassic magmatism in Eastern Vietnam and Lower Permian-Middle Permian arc volcanites in Western Sumatra, we introduce the Orang Laut terranes concept. These terranes were detached from Indochina and South China during back-arc opening of the Poko-Song Ma system, due to the westward subduction of the Palaeopacific. This also explains the location of the Cathaysian West Sumatra block to the West of the Cimmerian Sibumasu block.

Evolution de la perception de l'activité physique des patients diabétiques de type 2 dans un programme éducatif centré sur l'activité physique (DIAfit).

Objectif: Évaluer la concordance entre l'évolution de la perception des patients diabétiques type 2 et l'évolution de mesures quantifiables, dans le contexte d'un programme d'activité physique adapté. Ce programme se base sur l'accompagnement interdisciplinaire dans un concept éducatif et motivationnel (36 séances d'activité physique et 6-8 h d'atelier). Matériels et méthodes: Évaluation de la perception des patients portant sur : activité physique, condition physique, contrôle métabolique, gestion des corrections hypo/hyperglycémie, autonomisation et bien-être. Nous avons utilisé une cible d'auto-évaluation, composée d'échelles de Likert de 1 à 10 (1 = mauvais 10 = excellent). Concernant la condition physique nous avons mesuré : endurance, vitesse de marche, force, équilibre et souplesse. En fin de programme un questionnaire de satisfaction comprenant 5 items a été distribué. Résultats: Analyse des données de 40 patients, âge 59 ± 10 ans, 60 % femmes. Avant programme, 60 % des patients s'estiment insuffisants (moyenne < 5/10) face à la pratique de l'activité, la condition physique et le contrôle métabolique. Le bien-être se situe en moyenne à 5,4/10. Après programme, 75 % des patients montrent une progression dans tous les domaines (moyenne 7,4/10). Une corrélation positive apparaît entre l'amélioration de la condition physique et le bienêtre. Tous les paramètres physiques mesurés se sont aussi améliorés. L'amélioration de la condition physique perçue est corrélée avec celle de la force (p = 0,006). Le travail interdisciplinaire réalisé a été perçu positivement par 87,9 % des patients. La communication était de bonne qualité pour 78,1 % ainsi que le climat d'apprentissage (82,4 %). La majorité des patients (64,7 %) est très satisfaite du programme. Conclusion: Ce programme est prometteur, il montre l'amélioration de la perception et de la condition physique avec une concordance entre les deux. Cette amélioration laisse imaginer que les plus confiants sur leur capacité à agir puissent s'impliquer d'avantage dans la gestion quotidienne et dans la poursuite d'un projet d'activité.

A review of evolution of oviposition guilds in the Bruchidae (Coleoptera)

Three guilds of bruchid beetles oviposit on seeds at different times and in different ways, i. e., in these guilds some species only oviposit on fruits while on the plant (Guild A), other species only oviposit on seeds exposed in fruits while still on the plant (Guild B) and some only oviposit on seeds once they are exposed on the substrate (Guild C). It has been established that one plant species may be oviposited upon by all three guilds, some only by two guilds and some by only one guild. Before and after the inception of this concept many papers have been published that seem to establish that early oviposition behavior of bruchids was probably onto fruits where they burrowed through the fruit wall and fed on seeds (Guild A). Then, as evolution of the fruits developed for dispersal of seeds and possible escape from bruchid predation, bruchids developed to feed in seeds in various other ways (Guilds B and C). Our data show that about 78% of extant bruchids oviposit on fruits, and the other 22% with behavior of Guilds B and C. A review of these papers and new data on oviposition guilds and bruchid evolution are presented and discussed here.

Ontology Mapping Evolution

Introdução Hoje em dia, o conceito de ontologia (Especificação explícita de uma conceptualização [Gruber, 1993]) é um conceito chave em sistemas baseados em conhecimento em geral e na Web Semântica em particular. Entretanto, os agentes de software nem sempre concordam com a mesma conceptualização, justificando assim a existência de diversas ontologias, mesmo que tratando o mesmo domínio de discurso. Para resolver/minimizar o problema de interoperabilidade entre estes agentes, o mapeamento de ontologias provou ser uma boa solução. O mapeamento de ontologias é o processo onde são especificadas relações semânticas entre entidades da ontologia origem e destino ao nível conceptual, e que por sua vez podem ser utilizados para transformar instâncias baseadas na ontologia origem em instâncias baseadas na ontologia destino. Motivação Num ambiente dinâmico como a Web Semântica, os agentes alteram não só os seus dados mas também a sua estrutura e semântica (ontologias). Este processo, denominado evolução de ontologias, pode ser definido como uma adaptação temporal da ontologia através de alterações que surgem no domínio ou nos objectivos da própria ontologia, e da gestão consistente dessas alterações [Stojanovic, 2004], podendo por vezes deixar o documento de mapeamento inconsistente. Em ambientes heterogéneos onde a interoperabilidade entre sistemas depende do documento de mapeamento, este deve reflectir as alterações efectuadas nas ontologias, existindo neste caso duas soluções: (i) gerar um novo documento de mapeamento (processo exigente em termos de tempo e recursos computacionais) ou (ii) adaptar o documento de mapeamento, corrigindo relações semânticas inválidas e criar novas relações se forem necessárias (processo menos existente em termos de tempo e recursos computacionais, mas muito dependente da informação sobre as alterações efectuadas). O principal objectivo deste trabalho é a análise, especificação e desenvolvimento do processo de evolução do documento de mapeamento de forma a reflectir as alterações efectuadas durante o processo de evolução de ontologias. Contexto Este trabalho foi desenvolvido no contexto do MAFRA Toolkit1. O MAFRA (MApping FRAmework) Toolkit é uma aplicação desenvolvida no GECAD2 que permite a especificação declarativa de relações semânticas entre entidades de uma ontologia origem e outra de destino, utilizando os seguintes componentes principais: Concept Bridge – Representa uma relação semântica entre um conceito de origem e um de destino; Property Bridge – Representa uma relação semântica entre uma ou mais propriedades de origem e uma ou mais propriedades de destino; Service – São aplicados às Semantic Bridges (Property e Concept Bridges) definindo como as instâncias origem devem ser transformadas em instâncias de destino. Estes conceitos estão especificados na ontologia SBO (Semantic Bridge Ontology) [Silva, 2004]. No contexto deste trabalho, um documento de mapeamento é uma instanciação do SBO, contendo relações semânticas entre entidades da ontologia de origem e da ontologia de destino. Processo de evolução do mapeamento O processo de evolução de mapeamento é o processo onde as entidades do documento de mapeamento são adaptadas, reflectindo eventuais alterações nas ontologias mapeadas, tentando o quanto possível preservar a semântica das relações semântica especificadas. Se as ontologias origem e/ou destino sofrerem alterações, algumas relações semânticas podem tornar-se inválidas, ou novas relações serão necessárias, sendo por isso este processo composto por dois sub-processos: (i) correcção de relações semânticas e (ii) processamento de novas entidades das ontologias. O processamento de novas entidades das ontologias requer a descoberta e cálculo de semelhanças entre entidades e a especificação de relações de acordo com a ontologia/linguagem SBO. Estas fases (“similarity measure” e “semantic bridging”) são implementadas no MAFRA Toolkit, sendo o processo (semi-) automático de mapeamento de ontologias descrito em [Silva, 2004]. O processo de correcção de entidades SBO inválidas requer um bom conhecimento da ontologia/linguagem SBO, das suas entidades e relações, e de todas as suas restrições, i.e. da sua estrutura e semântica. Este procedimento consiste em (i) identificar as entidades SBO inválidas, (ii) a causa da sua invalidez e (iii) corrigi-las da melhor forma possível. Nesta fase foi utilizada informação vinda do processo de evolução das ontologias com o objectivo de melhorar a qualidade de todo o processo. Conclusões Para além do processo de evolução do mapeamento desenvolvido, um dos pontos mais importantes deste trabalho foi a aquisição de um conhecimento mais profundo sobre ontologias, processo de evolução de ontologias, mapeamento etc., expansão dos horizontes de conhecimento, adquirindo ainda mais a consciência da complexidade do problema em questão, o que permite antever e perspectivar novos desafios para o futuro.

Evolution in heterogeneous populations: from migration models to fixation probabilities.

Although dispersal is recognized as a key issue in several fields of population biology (such as behavioral ecology, population genetics, metapopulation dynamics or evolutionary modeling), these disciplines focus on different aspects of the concept and often make different implicit assumptions regarding migration models. Using simulations, we investigate how such assumptions translate into effective gene flow and fixation probability of selected alleles. Assumptions regarding migration type (e.g. source-sink, resident pre-emption, or balanced dispersal) and patterns (e.g. stepping-stone versus island dispersal) have large impacts when demes differ in sizes or selective pressures. The effects of fragmentation, as well as the spatial localization of newly arising mutations, also strongly depend on migration type and patterns. Migration rate also matters: depending on the migration type, fixation probabilities at an intermediate migration rate may lie outside the range defined by the low- and high-migration limits when demes differ in sizes. Given the extreme sensitivity of fixation probability to characteristics of dispersal, we underline the importance of making explicit (and documenting empirically) the crucial ecological/ behavioral assumptions underlying migration models.

Identity [R]Evolution: Multi-Disciplinary Perpectives

The identity [r]evolution is happening. Who are you, who am I in the information society? In recent years, the convergence of several factors - technological, political, economic - has accelerated a fundamental change in our networked world. On a technological level, information becomes easier to gather, to store, to exchange and to process. The belief that more information brings more security has been a strong political driver to promote information gathering since September 11. Profiling intends to transform information into knowledge in order to anticipate one's behaviour, or needs, or preferences. It can lead to categorizations according to some specific risk criteria, for example, or to direct and personalized marketing. As a consequence, new forms of identities appear. They are not necessarily related to our names anymore. They are based on information, on traces that we leave when we act or interact, when we go somewhere or just stay in one place, or even sometimes when we make a choice. They are related to the SIM cards of our mobile phones, to our credit card numbers, to the pseudonyms that we use on the Internet, to our email addresses, to the IP addresses of our computers, to our profiles... Like traditional identities, these new forms of identities can allow us to distinguish an individual within a group of people, or describe this person as belonging to a community or a category. How far have we moved through this process? The identity [r]evolution is already becoming part of our daily lives. People are eager to share information with their "friends" in social networks like Facebook, in chat rooms, or in Second Life. Customers take advantage of the numerous bonus cards that are made available. Video surveillance is becoming the rule. In several countries, traditional ID documents are being replaced by biometric passports with RFID technologies. This raises several privacy issues and might actually even result in changing the perception of the concept of privacy itself, in particular by the younger generation. In the information society, our (partial) identities become the illusory masks that we choose -or that we are assigned- to interplay and communicate with each other. Rights, obligations, responsibilities, even reputation are increasingly associated with these masks. On the one hand, these masks become the key to access restricted information and to use services. On the other hand, in case of a fraud or negative reputation, the owner of such a mask can be penalized: doors remain closed, access to services is denied. Hence the current preoccupying growth of impersonation, identity-theft and other identity-related crimes. Where is the path of the identity [r]evolution leading us? The booklet is giving a glance on possible scenarios in the field of identity.

Public Art. Timeline of the XXth Century Evolution

The concept of public art is a polysemic term, and the dispersion of its meaning is reflected in the different ways of working during the XXth Century. It cross the fields of sculpture, monument, visual arts and urban space, defined from a civic perspective. This timeline had been constructed after the publications of my PhD: http://www.tesisenred.net/handle/10803/1549

Contrast : a concept in language and its development in Medieval Spanish

The purpose of this PhD thesis is to investigate a semantic relation present in the connection of sentences (more specifically: propositional units). This relation, which we refer to as contrast, includes the traditional categories of adversatives - predominantly represented by the connector but in English and pero in Modern Spanish - and concessives, prototypically verbalised through although / aunque. The aim is to describe, analyse and - as far as possible - to explain the emergence and evolution of different syntactic schemes marking contrast during the first three centuries of Spanish (also referred to as Castilian) as a literary language, i.e., from the 13th to the 15th century. The starting point of this question is a commonplace in syntax, whereby the semantic and syntactic complexity of clause linkage correlates with the degree of textual elaboration. In historical linguistics, i.e., applied to the phylogeny of a language, it is commonly referred to as the parataxis hypothesis A crucial part of the thesis is dedicated by the definition of contrast as a semantic relation. Although the label contrast has been used in this sense, mainly in functional grammar and text linguistics, mainstream grammaticography and linguistics remain attached to the traditional categories adversatives and concessives. In opposition to this traditional view, we present our own model of contrast, based on a pragma-semantic description proposed for the analysis of adversatives by Oswald Ducrot and subsequently adopted by Ekkehard König for the analysis of concessives. We refine and further develop this model in order for it to accommodate all, not just the prototypical instances of contrast in Spanish, arguing that the relationship between adversatives and concessives is a marked opposition, i.e., that the higher degree of semantic and syntactic integration of concessives restricts some possible readings that the adversatives may have, but that this difference is almost systematically neutralised by contextual factors, thus justifying the assumption of contrast as a comprehensive onomasiological category. This theoretical focus is completed by a state-of-the-question overview attempting to account for all relevant forms in which contrast is expressed in Medieval Spanish, with the aid of lexicographic and grammaticographical sources, and an empirical study investigating the expression of corpus in a corpus study on the textual functions of contrast in nine Medieval Spanish texts: Cantar de Mio Cid, Libro de Alexandre, Milagros de Nuestra Sehora, Estoria de Espana, Primera Partida, Lapidario, Libro de buen amor, Conde Lucanor, and Corbacho. This corpus is analysed using quantitative and qualitative tools, and the study is accompanied by a series of methodological remarks on how to investigate a pragma-semantic category in historical linguistics. The corpus study shows that the parataxis hypothesis fails to prove from a statistical viewpoint, although a qualitative analysis shows that the use of subordination does increase over time in some particular contexts.

The evolution of post-zygotic isolation barriers by immune-triggered hybrid incompatibilities in Arabidopsis thaliana

A long-standing question in evolutionary biology is what defines a species. The biological species concept considers a species as a population of individuals that interbreeds freely and produces viable offspring. Therefore, reproductive isolation is the essence of species. Hybrid necrosis is one form of post-zygotic reproductive isolation. In this chapter, we summarize what is known to date about this phenomenon and highlight progress made in the understanding of these immune-triggered hybrid incompatibilities through our research in the plant model Arabidopsis thaliana.

The evolution of post-zygotic isolation barriers by immune-triggered hybrid incompatibilities in Arabidopsis thaliana

A long-standing question in evolutionary biology is what defines a species. The biological species concept considers a species as a population of individuals that interbreeds freely and produces viable offspring. Therefore, reproductive isolation is the essence of species. Hybrid necrosis is one form of post-zygotic reproductive isolation. In this chapter, we summarize what is known to date about this phenomenon and highlight progress made in the understanding of these immune-triggered hybrid incompatibilities through our research in the plant model Arabidopsis thaliana.

Damage control surgery: it's evolution over the last 20 years

In less than twenty years, what began as a concept for the treatment of exsanguinating truncal trauma patients has become the primary treatment model for numerous emergent, life threatening surgical conditions incapable of tolerating traditional methods. Its core concepts are relative straightforward and simple in nature: first, proper identification of the patient who is in need of following this paradigm; second, truncation of the initial surgical procedure to the minimal necessary operation; third, aggressive, focused resuscitation in the intensive care unit; fourth, definitive care only once the patient is optimized to tolerate the procedure. These simple underlying principles can be molded to a variety of emergencies, from its original application in combined major vascular and visceral trauma to the septic abdomen and orthopedics. A host of new resuscitation strategies and technologies have been developed over the past two decades, from permissive hypotension and damage control resuscitation to advanced ventilators and hemostatic agents, which have allowed for a more focused resuscitation, allowing some of the morbidity of this model to be reduced. The combination of the simple, malleable paradigm along with better understanding of resuscitation has proven to be a potent blend. As such, what was once an almost lethal injury (combined vascular and visceral injury) has become a survivable one.

Genesis and Evolution of Brittle Structures In Southwestern Finland and Western South Africa. Insights into Fault Reactivation, Fluid Flow and Structural Maturity in Precambrian Cratons

The bedrock of old crystalline cratons is characteristically saturated with brittle structures formed during successive superimposed episodes of deformation and under varying stress regimes. As a result, the crust effectively deforms through the reactivation of pre-existing structures rather than by through the activation, or generation, of new ones, and is said to be in a state of 'structural maturity'. By combining data from Olkiluoto Island, southwestern Finland, which has been investigated as the potential site of a deep geological repository for high-level nuclear waste, with observations from southern Sweden, it can be concluded that the southern part of the Svecofennian shield had already attained structural maturity during the Mesoproterozoic era. This indicates that the phase of activation of the crust, i.e. the time interval during which new fractures were generated, was brief in comparison to the subsequent reactivation phase. Structural maturity of the bedrock was also attained relatively rapidly in Namaqualand, western South Africa, after the formation of first brittle structures during Neoproterozoic time. Subsequent brittle deformation in Namaqualand was controlled by the reactivation of pre-existing strike-slip faults.In such settings, seismic events are likely to occur through reactivation of pre-existing zones that are favourably oriented with respect to prevailing stresses. In Namaqualand, this is shown for present day seismicity by slip tendency analysis, and at Olkiluoto, for a Neoproterozoic earthquake reactivating a Mesoproterozoic fault. By combining detailed field observations with the results of paleostress inversions and relative and absolute time constraints, seven distinctm superimposed paleostress regimes have been recognized in the Olkiluoto region. From oldest to youngest these are: (1) NW-SE to NNW-SSE transpression, which prevailed soon after 1.75 Ga, when the crust had sufficiently cooled down to allow brittle deformation to occur. During this phase conjugate NNW-SSE and NE-SW striking strike-slip faults were active simultaneous with reactivation of SE-dipping low-angle shear zones and foliation planes. This was followed by (2) N-S to NE-SW transpression, which caused partial reactivation of structures formed in the first event; (3) NW-SE extension during the Gothian orogeny and at the time of rapakivi magmatism and intrusion of diabase dikes; (4) NE-SW transtension that occurred between 1.60 and 1.30 Ga and which also formed the NW-SE-trending Satakunta graben located some 20 km north of Olkiluoto. Greisen-type veins also formed during this phase. (5) NE-SW compression that postdates both the formation of the 1.56 Ga rapakivi granites and 1.27 Ga olivine diabases of the region; (6) E-W transpression during the early stages of the Mesoproterozoic Sveconorwegian orogeny and which also predated (7) almost coaxial E-W extension attributed to the collapse of the Sveconorwegian orogeny. The kinematic analysis of fracture systems in crystalline bedrock also provides a robust framework for evaluating fluid-rock interaction in the brittle regime; this is essential in assessment of bedrock integrity for numerous geo-engineering applications, including groundwater management, transient or permanent CO2 storage and site investigations for permanent waste disposal. Investigations at Olkiluoto revealed that fluid flow along fractures is coupled with low normal tractions due to in-situ stresses and thus deviates from the generally accepted critically stressed fracture concept, where fluid flow is concentrated on fractures on the verge of failure. The difference is linked to the shallow conditions of Olkiluoto - due to the low differential stresses inherent at shallow depths, fracture activation and fluid flow is controlled by dilation due to low normal tractions. At deeper settings, however, fluid flow is controlled by fracture criticality caused by large differential stress, which drives shear deformation instead of dilation.

Grothendieck et les topos : rupture et continuité dans les modes d'analyse du concept d'espace topologique

La thèse présente une analyse conceptuelle de l'évolution du concept d'espace topologique. En particulier, elle se concentre sur la transition des espaces topologiques hérités de Hausdorff aux topos de Grothendieck. Il en ressort que, par rapport aux espaces topologiques traditionnels, les topos transforment radicalement la conceptualisation topologique de l'espace. Alors qu'un espace topologique est un ensemble de points muni d'une structure induite par certains sous-ensembles appelés ouverts, un topos est plutôt une catégorie satisfaisant certaines propriétés d'exactitude. L'aspect le plus important de cette transformation tient à un renversement de la relation dialectique unissant un espace à ses points. Un espace topologique est entièrement déterminé par ses points, ceux-ci étant compris comme des unités indivisibles et sans structure. L'identité de l'espace est donc celle que lui insufflent ses points. À l'opposé, les points et les ouverts d'un topos sont déterminés par la structure de celui-ci. Qui plus est, la nature des points change: ils ne sont plus premiers et indivisibles. En effet, les points d'un topos disposent eux-mêmes d'une structure. L'analyse met également en évidence que le concept d'espace topologique évolua selon une dynamique de rupture et de continuité. Entre 1945 et 1957, la topologie algébrique et, dans une certaine mesure, la géométrie algébrique furent l'objet de changements fondamentaux. Les livres Foundations of Algebraic Topology de Eilenberg et Steenrod et Homological Algebra de Cartan et Eilenberg de même que la théorie des faisceaux modifièrent profondément l'étude des espaces topologiques. En contrepartie, ces ruptures ne furent pas assez profondes pour altérer la conceptualisation topologique de l'espace elle-même. Ces ruptures doivent donc être considérées comme des microfractures dans la perspective de l'évolution du concept d'espace topologique. La rupture définitive ne survint qu'au début des années 1960 avec l'avènement des topos dans le cadre de la vaste refonte de la géométrie algébrique entreprise par Grothendieck. La clé fut l'utilisation novatrice que fit Grothendieck de la théorie des catégories. Alors que ses prédécesseurs n'y voyaient qu'un langage utile pour exprimer certaines idées mathématiques, Grothendieck l'emploie comme un outil de clarification conceptuelle. Ce faisant, il se trouve à mettre de l'avant une approche axiomatico-catégorielle des mathématiques. Or, cette rupture était tributaire des innovations associées à Foundations of Algebraic Topology, Homological Algebra et la théorie des faisceaux. La théorie des catégories permit à Grothendieck d'exploiter le plein potentiel des idées introduites par ces ruptures partielles. D'un point de vue épistémologique, la transition des espaces topologiques aux topos doit alors être vue comme s'inscrivant dans un changement de position normative en mathématiques, soit celui des mathématiques modernes vers les mathématiques contemporaines.