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On Star-σ-Countably Compact Spaces


Affiliations
1 Department of Mathematics, Dyal Singh College, University of Delhi, New Delhi-110003, India
     

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A space X is said to be star-σ-countably compact if for every open cover U of X, there exists a σ-countably compact subset C of X such that St(C, U) = X. In this paper, we investigate the relationship between star-σ-countably compact spaces and other related spaces and also study the topological properties of star-σ-countably compact spaces.

Keywords

Compact, Starcompact, σ-Countably Compact, Lindel¨of, Covering, Star-Covering, Topological Space.
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  • On Star-σ-Countably Compact Spaces

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Authors

Sumit Singh
Department of Mathematics, Dyal Singh College, University of Delhi, New Delhi-110003, India

Abstract


A space X is said to be star-σ-countably compact if for every open cover U of X, there exists a σ-countably compact subset C of X such that St(C, U) = X. In this paper, we investigate the relationship between star-σ-countably compact spaces and other related spaces and also study the topological properties of star-σ-countably compact spaces.

Keywords


Compact, Starcompact, σ-Countably Compact, Lindel¨of, Covering, Star-Covering, Topological Space.

References