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

ISSN : 1226-0657

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Vol.3 No.2

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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
1996, v.3 no.2, pp.163-171
Lee, Sang-Deok
Kim, Chang-Il
Lee,, S. , & Kim,, C. (1996). . Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 3(2), 163-171.

Abstract

Observing that a locally weakly Lindel<TEX>$\"{o}$</TEX>f space is a quasi-F space if and only if it has an F-base, we show that every dense weakly Lindel<TEX>$\"{o}$</TEX>f subspace of an almost-p-space is C-embedded, every locally weakly Lindel<TEX>$\"{o}$</TEX>f space with a cocompact F-base is a locally compact and quasi-F space and that if Y is a dense weakly Lindel<TEX>$\"{o}$</TEX>f subspace of X which has a cocompact F-base, then <TEX>$\beta$</TEX>Y and X are homeomorphic. We also show that for any a separating nest generated intersection ring F on a space X, there is a separating nest generated intersection ring g on <TEX>$\phi_{Y}^{-1}$</TEX>(X) such that QF(w(X, F)) and (<TEX>$\phi_{Y}^{-1}$</TEX>(X),g) are homeomorphic and <TEX>$\phi_{Y}_{x}$</TEX>(g<TEX>$^#$</TEX>)=F<TEX>$^#$</TEX>.

keywords
Weakly Lindelof space, Covering map, Quasi-F space, Almost-p-space

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

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