Spaces of trauma : young people, homelessness and violence

Little contemporary research has examined young people’s experiences ofviolence and homelessness in detail within the Australian context. This articledraws upon qualitative research with 33 homeless youth in Melbourne andseeks to enhance understanding of the impact of violence on young people.It argues that everyday experiences of violence play a central role in shapinghomeless young people’s lived experiences, traumatising young people andviolating any sense of connection and home. It suggests that violence is notonly a causal factor for homelessness, but also exacerbates and prolongs homelessness.

Conserving the heritage spaces of Kuala Lumpur : a case study of the old Market Square (Medan Pasar)

Being one of the new Asian mega-cities today, the origins of Kuala Lumpur started as early as 1850s at the confluence between two rivers; Gombak and Klang. The history of Kuala Lumpur changed when tin was discovered in Ampang in I 857. To cater for the need of residents and miners, a small trading post was constructed at the confluence between these two rivers. This business activity expanded eastwards to the Klang River resulting in one of the busiest business centres in Kuala Lumpur. Shophouses were erected and streets formed. These rows of shophouses and streets, with the river located to the west, created a rectangular space, known as the Old Market Square (Medan Pasar) which later became the main focal point of Kuala Lumpur. Today, even though the native senlements, chaotic sheds and huts have totally disappeared, some of the original shophouses, streets and even spaces still exist. However, they are struggling to survive and to maintain their authenticity due to pressures of nearby developments. This article considers the status of the Old Market Square in regard to its historical evolution and its position in contemporary heritage legislation and policy.

Students' imaginings of spaces of learning in outdoor and environmental education

In this article, the author interrogates students’ stories about the spaces and places in a tertiary Outdoor and Environmental Education course that support and shape their environmental ethics. Drawing on a longitudinal qualitative study, she explore the ways in which particular sites of learning (outdoor, practical learning) are privileged and how particular stories of outdoor spaces get reproduced. The author employs the work of poststructuralist geography scholar Doreen Massey in her analysis to highlight the intersections between space, relations of power and identity. This analysis also underscores the simultaneity of multiple and conflicting stories around Outdoor Education’s outdoor (practical) and indoor (theoretical) learning spaces. The article concludes by drawing on Elizabeth Ellsworth’s work on anomalous places of learning to explore some of the spaces in-between the indoor/outdoor binary as a way of interrupting and re-imagining places and spaces of learning in Outdoor Education.

Race lines and spaces of political action among migrant youth

Recently proposed Anti-Racism Strategy established within a framework of the Australian Government's multicultural policy, People of Australia, identifies ‘youth engagement’ as one of the key areas that needs to be promoted and supported. Young people have been invited to join youth councils and youth forums and work with national, state and local policy-makers. Some have taken up this challenge and became public faces and active members of anti-racism campaigns. Others, however, either remained silent about the discrimination they face, or organised their own grassroots youth-based and youth-led initiatives. This paper discusses individual and collective responses to racism among young people in Australia, focusing on Melbourne, and examines possibilities in which racism, as a common experience among migrant youth, can be utilised to form alternative spaces for political action, challenging not only interpersonal, but also systemic forms of racism. By drawing attention towards institutional and systemic forms of racism, and the historical perpetuation of racist practices, these youth initiatives rely on legal measures, and argue that racism should be discussed in the context of the broader Australian society, not only in relation to minority groups.

On universal Banach spaces of density continuum

We consider the question whether there exists a Banach space X of density continuum such that every Banach space of density at most continuum isomorphically embeds into X (called a universal Banach space of density c). It is well known that a""(a)/c (0) is such a space if we assume the continuum hypothesis. Some additional set-theoretic assumption is indeed needed, as we prove in the main result of this paper that it is consistent with the usual axioms of set-theory that there is no universal Banach space of density c. Thus, the problem of the existence of a universal Banach space of density c is undecidable using the usual axioms of set-theory. We also prove that it is consistent that there are universal Banach spaces of density c, but a""(a)/c (0) is not among them. This relies on the proof of the consistency of the nonexistence of an isomorphic embedding of C([0, c]) into a""(a)/c (0).

GEOMETRIC RELATIONS BETWEEN SPACES OF NUCLEAR OPERATORS AND SPACES OF COMPACT OPERATORS

We extend and provide a vector-valued version of some results of C. Samuel about the geometric relations between the spaces of nuclear operators N(E, F) and spaces of compact operators K(E, F), where E and F are Banach spaces C(K) of all continuous functions defined on the countable compact metric spaces K equipped with the supremum norm. First we continue Samuel's work by proving that N(C(K-1), C(K-2)) contains no subspace isomorphic to K(C(K-3), C(K-4)) whenever K-1, K-2, K-3 and K-4 are arbitrary infinite countable compact metric spaces. Then we show that it is relatively consistent with ZFC that the above result and the main results of Samuel can be extended to C(K-1, X), C(K-2,Y), C(K-3, X) and C(K-4, Y) spaces, where K-1, K-2, K-3 and K-4 are arbitrary infinite totally ordered compact spaces; X comprises certain Banach spaces such that X* are isomorphic to subspaces of l(1); and Y comprises arbitrary subspaces of l(p), with 1 < p < infinity. Our results cover the cases of some non-classical Banach spaces X constructed by Alspach, by Alspach and Benyamini, by Benyamini and Lindenstrauss, by Bourgain and Delbaen and also by Argyros and Haydon.

COMPARISON MEASURES OF MAPS GENERATED BY GEOSTATISTICAL METHODS

This study uses several measures derived from the error matrix for comparing two thematic maps generated with the same sample set. The reference map was generated with all the sample elements and the map set as the model was generated without the two points detected as influential by the analysis of local influence diagnostics. The data analyzed refer to the wheat productivity in an agricultural area of 13.55 ha considering a sampling grid of 50 x 50 m comprising 50 georeferenced sample elements. The comparison measures derived from the error matrix indicated that despite some similarity on the maps, they are different. The difference between the estimated production by the reference map and the actual production was of 350 kilograms. The same difference calculated with the mode map was of 50 kilograms, indicating that the study of influential points is of fundamental importance to obtain a more reliable estimative and use of measures obtained from the error matrix is a good option to make comparisons between thematic maps.

Axioms for the coincidence index of maps between manifolds of the same dimension

We study the coincidence theory of maps between two manifolds of the same dimension from an axiomatic viewpoint. First we look at coincidences of maps between manifolds where one of the maps is orientation true, and give a set of axioms such that characterizes the local index (which is an integer valued function). Then we consider coincidence theory for arbitrary pairs of maps between two manifolds. Similarly we provide a set of axioms which characterize the local index, which in this case is a function with values in Z circle plus Z(2). We also show in each setting that the group of values for the index (either Z or Z circle plus Z(2)) is determined by the axioms. Finally, for the general case of coincidence theory for arbitrary pairs of maps between two manifolds we provide a set of axioms which characterize the local Reidemeister trace which is an element of an abelian group which depends on the pair of functions. These results extend known results for coincidences between orientable differentiable manifolds. (C) 2012 Elsevier B.V. All rights reserved.

Hypoellipticity in spaces of ultradistributions-Study of a model case

In this work we study C (a)-hypoellipticity in spaces of ultradistributions for analytic linear partial differential operators. Our main tool is a new a-priori inequality, which is stated in terms of the behaviour of holomorphic functions on appropriate wedges. In particular, for sum of squares operators satisfying Hormander's condition, we thus obtain a new method for studying analytic hypoellipticity for such a class. We also show how this method can be explicitly applied by studying a model operator, which is constructed as a perturbation of the so-called Baouendi-Goulaouic operator.

Comparison measures of maps generated by geostatistical methods

This study uses several measures derived from the error matrix for comparing two thematic maps generated with the same sample set. The reference map was generated with all the sample elements and the map set as the model was generated without the two points detected as influential by the analysis of local influence diagnostics. The data analyzed refer to the wheat productivity in an agricultural area of 13.55 ha considering a sampling grid of 50 x 50 m comprising 50 georeferenced sample elements. The comparison measures derived from the error matrix indicated that despite some similarity on the maps, they are different. The difference between the estimated production by the reference map and the actual production was of 350 kilograms. The same difference calculated with the mode map was of 50 kilograms, indicating that the study of influential points is of fundamental importance to obtain a more reliable estimative and use of measures obtained from the error matrix is a good option to make comparisons between thematic maps.

Intersections on moduli spaces of curves

We present a new approach to perform calculations with the certain standard classes in cohomology of the moduli spaces of curves. It is based on an important lemma of Ionel relating the intersection theoriy of the moduli space of curves and that of the space of admissible coverings. As particular results, we obtain expressions of Hurwitz numbers in terms of the intersections in the tautological ring, expressions of the simplest intersection numbers in terms of Hurwitz numbers, an algorithm of calculation of certain correlators which are the subject of the Witten conjecture, an improved algorithm for intersections related to the Boussinesq hierarchy, expressions for the Hodge integrals over two-pointed ramification cycles, cut-and-join type equations for a large class of intersection numbers, etc.

On moduli spaces of semistable sheaves on K3 surfaces

Ich untersuche die nicht bereits durch die Arbeit "Singular symplectic moduli spaces" von Kaledin, Lehn und Sorger (Invent. Math. 164 (2006), no. 3) abgedeckten Fälle von Modulräumen halbstabiler Garben auf projektiven K3-Flächen - die Fälle mit Mukai-Vektor (0,c,0) sowie die Modulräume zu nichtgenerischen amplen Divisoren - hinsichtlich der möglichen Konstruktion neuer Beispiele von kompakten irreduziblen symplektischen Mannigfaltigkeiten. Ich stelle einen Zusammenhang zu den bereits untersuchten Modulräumen und Verallgemeinerungen derselben her und erweitere bekannte Ergebnisse auf alle offenen Fälle von Garben vom Rang 0 und viele Fälle von Garben von positivem Rang. Insbesondere kann in diesen Fällen die Existenz neuer Beispiele von kompakten irreduziblen symplektischen Mannigfaltigkeiten, die birational über Komponenten des Modulraums liegen, ausgeschlossen werden.