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On Star-σ-Countably Compact Spaces

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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.
Title: On Star-σ-Countably Compact Spaces
Description:
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.

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