SOME PROPERTIES AROUND 1½ STARCOMPACT SPACES

  • CHO, MYUNG HYUN (Division of Mathematics and Informational Statistics, Wonkwang University) ;
  • PARK, WON WOO (Division of Mathematics and Informational Statistics, Wonkwang University)
  • Received : 2002.05.09
  • Published : 2002.07.30

Abstract

A $1{\frac{1}{2}}$-starcompact space has one of the most curious properties among the spaces of starcompactness. It is not too far away from countably compact spaces and may be considered as the first candidate for extending theorems about countably compact spaces. Unfortunately, $1{\frac{1}{2}}$-starcompactness is not so easy to be recognized as 2-starcompactness which will follow from countable pracompactness. We investigate some properties around $1{\frac{1}{2}}$-starcompact spaces.

Keywords

k-starcompact;${\kappa}{\frac{1}{2}}$-starcompact;countably compact;pseudocompact

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