| In this paper we introduce the concepts of a quasi-$G^{*}_delta$-diagonal and quasi-wDelta-space as generalizations of the concepts of $G^{*}_delta$-diagonal and wDelta-space respectively. It is shown that a quasi-Moore space may be characterised in terms of these concepts. As a consequence we obtain the following metrization theorems: every paracompact wDelta-space with quasi-$G_delta$-diagonal is metrizable and every collectionwise normal $sigma$ quasi-wDelta-space is metrizable. |
Keywords
Moore space, quasi-$G^{*}_delta$-diagonal, quasi-wDelta-space, perfect space, weak $ heta$-refinable space.
Math Review Classification
Primary 54E30, 54E35
Last Updated
21/4/97
Length
8 pages
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