Wallman Covers and Quasi-F Covers

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081

2013, v.20 no.2, pp.103-108

https://doi.org/10.7468/jksmeb.2013.20.2.103

Kim, Chang Il (Department of Mathematics Education, Dankook University)
Shin, Chang Hyeob (Department of Mathematics, Soongsil University)

Kim, Chang Il, & Shin, Chang Hyeob. (2013). WALLMAN COVERS AND QUASI-F COVERS. 한국수학교육학회지시리즈B:순수및응용수학, 20(2), 103-108, https://doi.org/10.7468/jksmeb.2013.20.2.103

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Abstract

Observing that for any space X, there is a Wallman sublattice <TEX>$\mathfrak{A}_X$</TEX> and that QFX is homeomorphic to a subspace <TEX>$X_q$</TEX> of the Wallman cover <TEX>$\mathfrak{L}(\mathfrak{A}_X)$</TEX> of <TEX>$\mathfrak{A}_X$</TEX>, we show that <TEX>${\beta}QFX$</TEX> and <TEX>$\mathfrak{L}(\mathfrak{A}_X)$</TEX> are homeomorphic.

keywords: quasi-F space, covering map

참고문헌

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논문 상세

Vol.20 No.2

WALLMAN COVERS AND QUASI-F COVERS

Wallman Covers and Quasi-F Covers

Abstract

참고문헌

한국수학교육학회지시리즈B:순수및응용수학