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Minimal Basically Disconnected Covers of P'-spaces

김창일|정갑헌
영남수학회 (Youngnam Mathematical Society)|2014.01|East Asian Mathematical Journal|제30권 제1호|pp. 63-67|DOI http://dx.doi.org/10.7858/eamj.2014.006

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참고문헌

키워드

basically disconnected spacecovering mapweakly Lindel"{o}f spaceP'-spaces
주제분류수학

초록

Observing that for any P0-space X, vX is a P0-space if vX is a weakly Lindelof space, (vXY;X Y ) is the minimal basically disconnected cover of XY for a countably locally weakly Lindelof space Y .

Abstract

Observing that for any P0-space X, vX is a P0-space if vX is a weakly Lindelof space, (vXY;X Y ) is the minimal basically disconnected cover of XY for a countably locally weakly Lindelof space Y .

참고문헌 (7)

  1. W.W. Comfort, "F0-space and their product with P-spaces", Paci c J. Math, 28, pp.489~502 (1969)
  2. L. Gillman, "Rings of continuous functions" (1960), Van Nostrand
  3. C.I. Kim, "Minimal covers and lter spaces", Topology Appl, 72, pp.31~37 (1996)
  4. 김창일, "Minimal basically disconnected covers of product spaces", 대한수학회논문집, 21(2), pp.347~353 (2006), 대한수학회
  5. J.R. Porter, "Extensions and Absolutes of Hausdor spaces" (1988), Springer
  6. A. I. Veksler, "P0-point, P0-sets, P0-spaces", Soviet. Math. Dokl, 14, pp.1443~1450 (1973)
  7. J. Vermeer, "The smallest basically Disconnected preimage of a space", Topology Appl, 17, pp.217~232 (1984)

관련 논문AI추천

MINIMAL BASICALLY DISCONNECTED COVER OF WEAKLY P-SPACES AND THEIR PRODUCTS김창일한국수학교육학회 · 이론수학과 교직수학2010 · 제17권 제2호Minimal basically disconnected covers of countably locally weakly Lindel？f spaces김창일한국수학사학회 · 한국수학사학회지2003 · 제16권 제1호BASICALLY DISCONNECTED COVERS OF THE EXTENSION kX OF A SPACE X김창일영남수학회 · East Asian Mathematical Journal2013 · 제29권 제1호AN EXTENSION WHICH IS A WEAKLY LINDELÖFF SPACE김창일, 윤용식한국수학교육학회 · 이론수학과 교직수학2012 · 제19권 제3호Minimal basically disconnected covers of product spaces김창일대한수학회 · 대한수학회논문집2006 · 제21권 제2호FILTER SPACES AND BASICALLY DISCONNECTED COVERS김창일, 전영주한국수학교육학회 · 이론수학과 교직수학2014 · 제21권 제2호

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