On almost countably compact spaces

Authors

  • Yankui Song Institute of Mathematics, School of Mathematical Sciences, Nanjing Normal University, Nanjing 210046, P. R China Author
  • Hongying Zhao Institute of Mathematics, School of Mathematical Sciences, Nanjing Normal University, Nanjing 210046, P. R China Author

Keywords:

Compact, countably compact, almost countably compact

Subjects:

54D20, 54D55

Abstract

A space X is {ıt almost countably compact\/} if for every countable open coverU of X, there exists a finite subset V of Usuch that {V:VınV}=X. In this paper, weinvestigate the relationship between almost countably compact spacesand countably compact spaces, and also study topological properties of almost countably compact spaces.

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Published

2012-04-15