Fibered knots and links in lens spaces

La tesi propone alcuni esempi di link fibrati in spazi lenticolari. Sfruttando la compatibilità fra le mosse di chirurgia intera e la nozione di open book decomposition, si ricava un esempio di link fibrato prima in L(p,1), per poi generalizzarlo a L(p,q). Si conclude determinando una struttura di contatto equivalente alla open book relativa agli spazi del tipo L(p,1).

Real map germs and higher open book structures

The paper focusses on the existence of higher open book structures defined by real map germs psi : (R(m), 0) -> (R(p), 0) such that Sing psi boolean AND psi(-1)(0) subset of {0}. A general existence criterion is proved, with view to weighted-homogeneous maps.

Knots and links in lens spaces

The aim of this dissertation is to improve the knowledge of knots and links in lens spaces. If the lens space L(p,q) is defined as a 3-ball with suitable boundary identifications, then a link in L(p,q) can be represented by a disk diagram, i.e. a regular projection of the link on a disk. In this contest, we obtain a complete finite set of Reidemeister-type moves establishing equivalence, up to ambient isotopy. Moreover, the connections of this new diagram with both grid and band diagrams for links in lens spaces are shown. A Wirtinger-type presentation for the group of the link and a diagrammatic method giving the first homology group are described. A class of twisted Alexander polynomials for links in lens spaces is computed, showing its correlation with Reidemeister torsion. One of the most important geometric invariants of links in lens spaces is the lift in 3-sphere of a link L in L(p,q), that is the counterimage of L under the universal covering of L(p,q). Starting from the disk diagram of the link, we obtain a diagram of the lift in the 3-sphere. Using this construction it is possible to find different knots and links in L(p,q) having equivalent lifts, hence we cannot distinguish different links in lens spaces only from their lift. The two final chapters investigate whether several existing invariants for links in lens spaces are essential, i.e. whether they may assume different values on links with equivalent lift. Namely, we consider the fundamental quandle, the group of the link, the twisted Alexander polynomials, the Kauffman Bracket Skein Module and an HOMFLY-PT-type invariant.

An open book: what and how young children learn from picture and story books

Looking at and listening to picture and story books is a ubiquitous activity, frequently enjoyed by many young children and their parents. Well before children can read for themselves they are able to learn from books. Looking at and listening to books increases children’s general knowledge, understanding about the world and promotes language acquisition. This collection of papers demonstrates the breadth of information pre-reading children learn from books and increases our understanding of the social and cognitive mechanisms that support this learning. Our hope is that this Research Topic/eBook will be useful for researchers as well as educational practitioners and parents who are interested in optimizing children’s learning. We conceptually divide this research topic into four broad sections, which focus on the nature and attributes of picture and story books, what children learn from picture and story books, the interactions children experience during shared reading, and potential applications of research into shared reading, respectively.

The work of the Open court publishing co.; an illustrated catalogue of its publications covering a period of twenty-one years (1887-1907) consisting of a complete book list with brief characterization of authors and contents, including also a selection of noteworthy articles from the Monist and the Open court.

Cover title.

The impact of private and shared open space on liveability in subtropical apartment buildings

The study explores the relationship between open space design, factors impacting open space provision, and resident satisfaction with open space in multistorey apartment buildings in the context of the subtropical lifestyle and climate of Brisbane Australia. The purpose of the paper is to identify the specific physical and spatial design characteristics residents perceive to be important in open spaces associated with their private dwellings and with shared open spaces. Firsthand resident evaluations of everyday experiences of residing in inner urban high density environments are explored through a survey of 636 residents and interviews with 24 residents. Private balconies are highly valued, but residents’ satisfaction would be enhanced by spaciousness for diverse activities, privacy and climate responsive design. Communal spaces and facilities are used infrequently by many residents who prefer interactions with community outside of the building. This is related to preferences for a level of anonymity in a setting where privacy is difficult to achieve due to physical proximity of neighbours.

Artist Rafaello Busoni surrounded by five unidentified men photographing an open book.

Digital Image

Biodiversity and green open space

Biodiversity has been defined as the totality of genes, species, and ecosystems that inhabit the earth with the field contributing to many aspects of our lives and livelihoods by providing us with food, drink, medicines and shelter, as well as contributing to improving our surrounding environment. Benefits include providing life services through improved horticultural production, improving the business and service of horticulture as well as our environment, as well as improving our health and wellbeing, and our social and cultural relationships. Threats to biodiversity can include fragmentation, degradation and deforestation of habitat, introduction of invasive and exotic species, climate change and extreme weather events, over-exploitation of our natural resources, hybridisation, genetic pollution/erosion and food security issues and human overpopulation. This chapter examines a series of examples that provide the dual aims of biodiversity conservation and horticultural production and service; namely organic horticultural cropping, turf management, and nature-based tourism, and ways of valuing biological biodiversity such as the payment of environmental services and bio-prospecting. Horticulture plays a major role in the preserving of biodiversity.

Evaluating links through spectral decomposition

Spectral decomposition has rarely been used to investigate complex networks. In this work we apply this concept in order to define two kinds of link-directed attacks while quantifying their respective effects on the topology. Several other kinds of more traditional attacks are also adopted and compared. These attacks had substantially diverse effects, depending on each specific network (models and real-world structures). It is also shown that the spectrally based attacks have special effects in affecting the transitivity of the networks.

[Ethics and Moral Philosophy book list, 1790]

One leaf containing a handwritten list of books with one column marked "Ethics" and the other column marked "Moral Philosophy." Entries contain the author's last name and abbreviated title. The page is inscribed "Vose," likely referring to Roger Vose (Harvard AB 1790), and the verso has a fragment of a poem.

[Ethics and moral philosophy book list, 1790]

One leaf containing a handwritten list of books generally on ethics and moral philosophy, though no subject is identified. Entries contain the author's last name and abbreviated title. The page is inscribed "Paine," likely referring to Robert Treat Paine (Harvard AB 1792), and the verso has a fragment of a student essay on the theme "An undevout astronomer is mad," signed "Paine."