The ideal generated by sigma-nowhere dense sets

Date
2006
Authors
Cao, J
Greenwood, S
Supervisor
Item type
Journal Article
Degree name
Journal Title
Journal ISSN
Volume Title
Publisher
Applied General Topology, Universidad Politecnica de Valencia
Abstract

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 the topology for any given topological space, an analogue to the Banach category theorem. Some applications of this result and the Banach category theorem are also given.

Description
Keywords
Compatible , Ideal , Resolvable , ¾-nowhere dense , Volterra , Weakly Volterra
Source
Applied General Topology, vol.7(2), pp.253 - 264
DOI
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