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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

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

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

한국수학교육학회지시리즈B:순수및응용수학 / 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 (DEPARTMENT OF MATHEMATICS EDUCATION, DANKOOK UNIVERSITY)
Kim, Chang-Il. (2010). MINIMAL BASICALLY DISCONNECTED COVER OF WEAKLY P-SPACES AND THEIR PRODUCTS. 한국수학교육학회지시리즈B:순수및응용수학, 17(2), 167-173.

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

참고문헌

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Chang, I.K.. (1996). Minimal covers and filter spaces. Topology and its Applications, 72(1), 31-37. 10.1016/0166-8641(96)00009-0.

3.

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.

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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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(1973). . Soviet. Math. Dokl., 4, 1443-1450.

한국수학교육학회지시리즈B:순수및응용수학

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