Thesis (Ph. D.)--University of Adelaide, Dept. of Pure Mathematics. 1985. / Includes bibliographical references (leaves 225-227).

Thesis (M.Sc.) - Carleton University, 2006. / Includes bibliographical references (p. 162-164). Also available in electronic format on the Internet.

Thesis (Ph. D.)--University of Missouri-Columbia, 2008. / The entire dissertation/thesis text is included in the research.pdf file; the official abstract appears in the short.pdf file (which also appears in the research.pdf); a non-technical general description, or public abstract, appears in the public.pdf file. Title from title screen of research.pdf file (viewed on June 18, 2009) Vita. Includes bibliographical references.

Thesis (M.A.) -- Memorial University of Newfoundland. / Typescript. Bibliography : leaves 97-105. Also available online.

Originally presented as the author's thesis, University of Cape Town, 1970. / Includes bibliographical references (p. 97-99).

Thesis (Ph. D. in Mathematics)--Vanderbilt University, May 2006. / Title from title screen. Includes bibliographical references.

“Places are not local things. They are moments in large-scale things, the large-scale things we call cities. Places do not make cities. It is cities that make places. The distinction is vital. We cannot make places without understanding the cities.” (Hillier 1996:151) This dissertation investigates the theoretical and practical importance of creating social spaces in the city. In distinguishes between public spaces (spaces that are merely accessible to society) and social spaces (spaces that encourage encounters between strangers), social space is identified as an integrating space that accommodates, adapts and relates to surrounding spaces. This contrasts public space whose only criteria is often that it is an open space. A theoretical argument explores the concept of ‘publicness’ in space and identifies practical design principles that reflect this concept. The physical locality of the project is then analysed where problems within the fabric of the city are identified. A series of local urban interventions, constituting a regional intervention for the Johannesburg CBD, are presented as a solution to these problems and a single intervention is then focused on. The design process documents the transmitting of knowledge into object form; design decisions are made intentionally and the final product is evaluated according to a set of interrogated design criteria. / Dissertation (MArch(Prof))--University of Pretoria, 2007. / Architecture / unrestricted

No description available.

For the case where L is an ecl-premonoid, we explore various characterizations of SL-topological spaces, in particular characterization in terms of a convergence function lim: FS L(X) ! LX. We find we have to introduce a new axiom , L on the lim function in order to completely describe SL-topological spaces, which is not required in the case where L is a frame. We generalize the classical Kowalski and Fischer axioms to the lattice context and examine their relationship to the convergence axioms. We define the category of stratified L-generalized convergence spaces, as a generalization of the classical convergence spaces and investigate conditions under which it contains the category of stratified L-topological spaces as a reflective subcategory. We investigate some subcategories of the category of stratified L-generalized convergence spaces obtained by generalizing various classical convergence axioms.

A norm ||⋅|| on a Banach space X is Fréchet differentiable at x ∈ X if there is a functional ∫∈ X* such that [Formula Omitted] This concept reflects the smoothness characteristics of X. A dual Banach space X* has the Radon-Nikodym Property (RNP) if whenever C ⊂ X* is weak*-compact and convex, and ∈ > 0, there is an x ∈ X and an ⍺ > 0 such that diameter [Formula Omitted] this property reflects the convexity characteristics of X*. Culminating several years of work by many researchers, the following theorem established a strong connection between the smoothness of X and the convexity of X*: Every equivalent norm on X is Fréchet differentiable on a dense set if and only if X* has the RNP. A more general measure of convexity has been recently receiving a great deal of attention: A dual Banach space X* has the weak* Convex Point-of-Continuity Property (C*PCP) if whenever ɸ ≠ C ⊂ X* is weak*-compact and convex, and ∈ > 0, there is a weak*-open set V such that V ⋂ C ≠ ɸ and diam V ⋂ C < ∈. In this thesis, we develop the corresponding smoothness properties of X which are dual to C*PCP. For this, a new type of differentiability, called cofinite Fréchet differentiability, is introduced, and we establish the following theorem: Every equivalent norm on X is cofinitely Fréchet differentiable everywhere if and only if X* has the C*PCP. Representing joint work with R. Deville, G. Godefroy and V. Zizler, an alternate approach is developed in the case when X is separable. We show that if X is separable, then every equivalent norm on X which has a strictly convex dual is Fréchet differentiable on a dense set if and only if X* has the C*PCP, if and only if every equivalent norm on X which is Gâteaux differentiable (everywhere) is Fréchet differentiable on a dense set. This result is used to show that if X* does not have the C*PCP, then there is a subspace Y of X such that neither Y* nor (X/Y)* have the C*PCP, yet both Y and X/Y have finite dimensional Schauder decompositions. The corresponding result for spaces X* failing the RNP remains open. / Science, Faculty of / Mathematics, Department of / Graduate