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http://dx.doi.org/10.7468/jksmeb.2013.20.2.103

WALLMAN COVERS AND QUASI-F COVERS  

Kim, Chang Il (Department of Mathematics Education, Dankook University)
Shin, Chang Hyeob (Department of Mathematics, Soongsil University)
Publication Information
The Pure and Applied Mathematics / v.20, no.2, 2013 , pp. 103-108 More about this Journal
Abstract
Observing that for any space X, there is a Wallman sublattice $\mathfrak{A}_X$ and that QFX is homeomorphic to a subspace $X_q$ of the Wallman cover $\mathfrak{L}(\mathfrak{A}_X)$ of $\mathfrak{A}_X$, we show that ${\beta}QFX$ and $\mathfrak{L}(\mathfrak{A}_X)$ are homeomorphic.
Keywords
quasi-F space; covering map;
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