Open Access
2012 Cocompact Open Sets and Continuity
Samer Al Ghour, Salti Samarah
Abstr. Appl. Anal. 2012: 1-9 (2012). DOI: 10.1155/2012/548612

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.

Citation

Download Citation

Samer Al Ghour. Salti Samarah. "Cocompact Open Sets and Continuity." Abstr. Appl. Anal. 2012 1 - 9, 2012. https://doi.org/10.1155/2012/548612

Information

Published: 2012
First available in Project Euclid: 14 December 2012

zbMATH: 1236.54002
MathSciNet: MR2872322
Digital Object Identifier: 10.1155/2012/548612

Rights: Copyright © 2012 Hindawi

Vol.2012 • 2012
Back to Top