Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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ON SUBMAXIMAL AND QUASI-SUBMAXIMAL SPACES

  • Lee, Seung-Woo (Division of Mathematics & Informational Statistics Wonkwang University) ;
  • Moon, Mi-Ae (Division of Mathematics & Informational Statistics Wonkwang University) ;
  • Cho, Myung-Hyun (Department of Mathematics Education Wonkwang University)
  • Received : 2010.08.31
  • Accepted : 2010.11.18
  • Published : 2010.12.25
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Abstract

The purpose of this paper is to study some properties of quasi-submaximal spaces and related examples. More precisely, we prove that if X is a quasi-submaximal and nodec space, then X is submaximal. As properties of quasi-submaximality, we show that if X is a quasi-submaximal space, then (a) for every dense $D{\subset}X$, Int(D) is dense in X, and (b) there are no disjoint dense subsets. Also, we illustrate some basic facts and examples giving the relationships among the properties mentioned in this paper.

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References

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