Cocompact Open Sets and Continuity

Samer Al Ghour; Salti Samarah

doi:10.1155/2012/548612

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Home > Journals > Abstr. Appl. Anal. > Volume 2012 > Article

2012 Cocompact Open Sets and Continuity

Samer Al Ghour, Salti Samarah

Abstr. Appl. Anal. 2012: 1-9 (2012). DOI: 10.1155/2012/548612

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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.