Quasi-metric Representations of Various Categories of Closure Spaces

Authors

Ralph Kopperman
Frédéric D. Mynard, Georgia Southern UniversityFollow
Peter Ruse

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.

Recommended Citation

Kopperman, Ralph, Frédéric D. Mynard, Peter Ruse. 2011. "Quasi-metric Representations of Various Categories of Closure Spaces." Topology Proceedings, 37: 331-347 Auburn, AL: Auburn University. source: http://topology.auburn.edu/tp/reprints/v37/tp37020p1.pdf
https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/274