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Claim

Cocompact Open Sets and Continuity

Cocompact open sets and continuity
descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 2012 English Publisher:WileyJournal:Abstract and Applied Analysis, volume 2,012 (issn: 1085-3375, eissn: 1687-0409, Copyright policy )
Authors: Al Ghour, Samer; Samarah, Salti;

doi: 10.1155/2012/548612

Cocompact Open Sets and Continuity

Abstract

Compact subsets of a topological space are used to define coc‐open sets as new generalized open sets, and then coc‐open sets are used to define (coc)∗‐open sets as another type of generalized open sets. Several results and examples related to them are obtained; particularly a decomposition of open sets is given. Also, coc‐open sets and (coc)∗‐open sets are used to introduce coc‐continuity and (coc)∗‐continuity, respectively. As a main result, a decomposition theorem of continuity is obtained.

Related Organizations
Keywords

QA1-939, Topological spaces and generalizations (closure spaces, etc.), Weak and generalized continuity, Mathematics

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    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).
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    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.
    		 Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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selected citations
These citations are derived from selected sources.
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!
6
Top 10%
Top 10%
Average
gold