Title

Quasi-metric Representations of Various Categories of Closure Spaces

Document Type

Conference Proceeding

Publication Date

2011

Publication Title

Topology Proceedings

Abstract

In this paper we give modify the generalized quasimetric representation of topological spaces of [21], by weakening the properties required of the set of positive elements, to obtain a similar representation of the category of neighborhood spaces and its subcategories of closure, and of pretopological spaces. Thus we show how these notions also arise from generalized metrics.

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