MATEMATIČKI VESNIK
МАТЕМАТИЧКИ ВЕСНИК



MATEMATIČKI VESNIK
On almost countably compact spaces
Yankui Song and Hongying Zhao

Abstract

A space $X$ is {\it almost countably compact\/} if for every countable open cover $\cal U$ of $X$, there exists a finite subset $\cal V$ of $\cal U$ such that $\bigcup\{\overline{V}:V\in \cal V\}=X$. In this paper, we investigate the relationship between almost countably compact spaces and countably compact spaces, and also study topological properties of almost countably compact spaces.

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Keywords: Compact; countably compact; almost countably compact.

MSC: 54D20, 54D55

Pages:  159--165     

Volume  64 ,  Issue  2 ,  2012