MINIMAL BASICALLY DISCONNECTED COVER OF WEAKLY P-SPACES AND THEIR PRODUCTS

Kim, Chang-Il; Kim, Chang-Il

P-ISSN1226-0657
E-ISSN2287-6081
KCI

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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

Reference

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Kim, Chang-Il. (2006). MINIMAL BASICALLY DISCONNECTED COVERS OF PRODUCT SPACES. Communications of the Korean Mathematical Society, 21(2), 347-353. 10.4134/CKMS.2006.21.2.347.

Vermeer, J.. (1984). The smallest basically disconnected preimage of a space. Topology and its Applications, 17(3), 217-232. 10.1016/0166-8641(84)90043-9.

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Article Contents

Vol.17 No.2

MINIMAL BASICALLY DISCONNECTED COVER OF WEAKLY P-SPACES AND THEIR PRODUCTS

Abstract

Reference

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