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Compactness-like properties and compact sections

descriptionPublicationkeyboard_double_arrow_right Article 01 Apr 2012 English Publisher:Elsevier BVJournal:Topology and its Applications, volume 159, pages 1,634-1,639 (issn: 0166-8641, Copyright policy )
Authors: Valentin Gutev;

doi: 10.1016/j.topol.2011.06.066

Compactness-like properties and compact sections

Abstract

AbstractThere are several covering properties of topological spaces which have been successfully characterised by multi-selections of l.s.c. set-valued mappings. The present paper is devoted to a similar problem but now involving sections instead of multi-selections. It deals with compactness-like properties and sections represented by compact subsets of the range. Several applications are also given.

Related Organizations
Keywords

Set-valued mapping, Pseudocompactness, Countable compactness, Section, Lower semi-continuous, Geometry and Topology

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
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Average
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