- Scholarly Commons Home
- →
- AUT University Research
- →
- School of Computing and Mathematical Sciences
- →
- Search
JavaScript is disabled for your browser. Some features of this site may not work without it.
Search
Search Results for Collection: School of Computing and Mathematical Sciences
-
(AUT University, New Zealand Mathematical Society; 2011)A bornology on a nonempty set X is a family of subsets of X that is closed under taking finite unions, that is hereditary, and that forms a cover of X. Bornologies have been widely applied in functional analysis and topology ... -
(World Scientific and Engineering Academy and Society, AUT University; 2011)In this paper, we consider the robust portfolio selection problem for an insurer in the sense of maximizing the exponential utility of his wealth. This special robust investment problem, where underwriting results and a ... -
(Joint committee of the New Zealand Mathematical Society and the Department of Mathematics of the University of Auckland., AUT University; 2008)Using topological games we investigate connections between properties of topological spaces and their spaces of continuous functions with the compact-open topology. This leads to new criteria for metrisability of a manifold. ... -
(AUT University, Elsevier; 2011)In this paper, topological properties of Wijsman hyperspaces are investigated. We study the existence of isolated points in Wijsman hyperspaces. We show that every Tychonoff space can be embedded as a closed subspace in ... -
(AUT University, Michigan State University Press; 2006)In this paper, we extend a theorem of Matejdes on quasicontinuous selections of upper Baire continuous set-valued mappings from compact (or separable) metric range spaces to regular T1 range spaces. In addition, we also ... -
(AUT University, Applied General Topology, Universidad Politecnica de Valencia; 2006)In this paper, we consider the ideal I¾ generated by all ¾-nowhere dense sets in a topological space. Properties of this ideal and its relations with the Volterra property are explored. We show that I¾ is compatible with ... -
(AUT University; 2006)A topological space X is called Volterra if for each pair of real-valued functions f,g: X → R such that C(f) and C(g) are dense, C(f)∩C(g) is also dense, where C(f) and C(g) are sets of points of continuity of f and g ... -
(AUT University; 2007)In 1960s, when he studied Banach space geometry, R. Wijsman considered the weak topology on the collection of nonempty closed subsets of a metric space generated by the distance functionals viewed as functions of set ... -
(American Mathematical Society; 2010)In this paper we show the following results: (i) there exists a separable metric space of the first category whose Wijsman hyperspace is almost countably subcompact; (ii) there exists a σ-discrete crowded metric space whose ... -
(AUT University, University of Patras; 2006)In this talk, we study the problem when a Volterra space is Baire. It is shown that every stratifiable Volterra space is Baire. This answers affirmatively a question of Gruenhage and Lutzer in 2000. Further, it is established ...