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ISSN : 1226-0657

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Vol.17 No.2
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MINIMAL BASICALLY DISCONNECTED COVER OF WEAKLY P-SPACES AND THEIR PRODUCTS

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2010, v.17 no.2, pp.167-173
Kim, Chang-Il
Kim,, C. (2010). MINIMAL BASICALLY DISCONNECTED COVER OF WEAKLY P-SPACES AND THEIR PRODUCTS. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 17(2), 167-173.
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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 : <TEX>$X{\rightarrow}Y$</TEX>, 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
weakly P-space, basically disconnected space, covering map

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Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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