Remarks on weakly star countable spaces

Authors

  • Y-K. Song Institute of Mathematics, School of Mathematical Science, Nanjing Normal University, Nanjing 210023, P.R. China Author
  • W-F. Xuan School of Statistics and Mathematics, Nanjing Audit University, Nanjing 210093, P.R. China Author

Keywords:

Star countable, weakly star countable

Subjects:

54D20, 54A35

Abstract

A space $X$ is {\it weakly star countable} if for eachopen cover $U$ of $X$ there exists a countable subset $F$ of$X$ such that $\overline{\bigcup_{x\in F}St(x, U)}=X$. Inthis paper, we investigate topological properties of weakly starcountable spaces.

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Published

2018-07-15

Issue

Vol. 70 No. 3 (2018): Vol. 70, Issue 3

Section

Articles

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Copyright (c) 2018 Authors retain copyright to their work.

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This work is licensed under a Creative Commons Attribution 4.0 International License.