Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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VARIOUS COMPACT-TYPE PROPERTIES BETWEEN ω-BOUNDEDNESS AND PSEUDOCOMPACTNESS

  • CHO, MYUNG HYUN (Division of Mathematics and Informational Statistics Wonkwang University) ;
  • KIM, JUN-HUI (Division of Mathematics and Informational Statistics Wonkwang University) ;
  • SEO, HYO SUN (Division of Mathematics and Informational Statistics Wonkwang University)
  • Received : 2004.02.28
  • Accepted : 2004.05.12
  • Published : 2004.06.25
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Abstract

On the analogy of total countable compactness, we study interesting subfamilies in the class of pseudocompact spaces. We show relationships between totally pseudocompact spaces, sequentially pseudocompact spaces, and DFCC spaces. We also prove relationships among densely ${\xi}$-pseudocompact, ${\xi}$-pseudocompact, and countably pracompact spaces. As a productive result on countably pracompact spaces, we will prove that if X is a countably pracompact space and Y is a countably pracompact ${\kappa}$-space, then $X{\times}Y$ is count ably pracompact.

Keywords

Acknowledgement

Supported by : Wonkwang University

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