Cocompact Open Sets and Continuity

Samer Al Ghour and Salti Samarah

Abstract and Applied Analysis, 2012, vol. 2012, 1-9

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.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:548612

DOI: 10.1155/2012/548612

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