Cocompact Open Sets and Continuity | Zendy

Samer Al Ghour | Zendy; Salti Samarah | Zendy

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Cocompact Open Sets and Continuity

Author(s) -

Samer Al Ghour,

Salti Samarah

Publication year - 2012

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2012/548612

Subject(s) - open set , mathematics , open and closed maps , topological space , set (abstract data type) , decomposition , space (punctuation) , discrete mathematics , pure mathematics , computer science , operating system , ecology , biology , programming language

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

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