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

김창일
한국수학교육학회|2010.05|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제17권 제2호|pp. 167-173

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참고문헌

키워드

basically disconnected spacecovering mapweakly P-space
주제분류수학

초록

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 ¡! 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.

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 ¡! 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.

참고문헌 (7)

  1. W.W. Comfort, "F'-space and their products with P-spaces", Pacific J. Math, 28 (1969)
  2. L. Gillman, "Rings of continuous functions" (1960), Van Nostrand
  3. C.I. Kim, "Minimal covers and filter spaces", Topol. and its Appl, 72, pp.31~37 (1996)
  4. 김창일, "Minimal basically disconnected covers of product spaces", 대한수학회논문집, 21(2), pp.347~353 (2006), 대한수학회
  5. S.J. Porter, "Extensions and Absolutes of Hausdorff Spaces" (1988), Springer
  6. A.K. Veksler, "P'-points, P'-sets, P'-spaces", Soviet. Math. Dokl, 4, pp.1443~1450 (1973)
  7. J. Vermeer, "The smallest basically disconnected preimage of a space", Topol. Appl, 17, pp.217~232 (1984)

관련 논문AI추천

Minimal Basically Disconnected Covers of P'-spaces김창일, 정갑헌영남수학회 · East Asian Mathematical Journal2014 · 제30권 제1호BASICALLY DISCONNECTED COVERS OF THE EXTENSION kX OF A SPACE X김창일영남수학회 · East Asian Mathematical Journal2013 · 제29권 제1호FILTER SPACES AND BASICALLY DISCONNECTED COVERS김창일, 전영주한국수학교육학회 · 이론수학과 교직수학2014 · 제21권 제2호CLOZ-COVERS OF TYCHONOFF SPACES김창일한국수학교육학회 · 이론수학과 교직수학2011 · 제18권 제4호AN EXTENSION WHICH IS A WEAKLY LINDELÖFF SPACE김창일, 윤용식한국수학교육학회 · 이론수학과 교직수학2012 · 제19권 제3호ALMOST GP-SPACESMohammad Reza Ahmadi Zand대한수학회 · 대한수학회지2010 · 제47권 제1호

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