The Pure and Applied Mathematics (한국수학교육학회지시리즈B:순수및응용수학)

Korean Society of Mathematical Education (한국수학교육학회)
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MINIMAL BASICALLY DISCONNECTED COVER OF WEAKLY P-SPACES AND THEIR PRODUCTS

  • Kim, Chang-Il (DEPARTMENT OF MATHEMATICS EDUCATION, DANKOOK UNIVERSITY)
  • Received : 2009.12.17
  • Accepted : 2010.05.13
  • Published : 2010.05.31
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Abstract

In this paper, we introduce the concept of a weakly P-space which is a generalization of a P-space and prove that for any covering map f : $X{\rightarrow}Y$, X is a weakly P-space if and only if Y is a weakly P-space. Using these, we investigate the minimal basically disconnected cover of weakly P-spaces and their products.

Keywords

References

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