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Cocompact Open Sets and Continuity

Author

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  • Samer Al Ghour
  • Salti Samarah

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.

Suggested Citation

  • Samer Al Ghour & Salti Samarah, 2012. "Cocompact Open Sets and Continuity," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
  • Handle: RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:548612
    DOI: 10.1155/2012/548612
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    References listed on IDEAS

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    1. Ahmad Al-Omari & Takashi Noiri & Mohd. Salmi Md. Noorani, 2009. "Characterizations of Strongly Compact Spaces," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2009, pages 1-9, November.
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