Characterizations of Moore and Semi-Stratifiable Spaces

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dc.contributor.author Mohamad, A.M. en
dc.date.accessioned 2009-08-28T03:20:37Z en
dc.date.available 2009-08-28T03:20:37Z en
dc.date.issued 2000 en
dc.identifier.citation Department of Mathematics - Research Reports-451 (2000) en
dc.identifier.issn 1173-0889 en
dc.identifier.uri http://hdl.handle.net/2292/4978 en
dc.description.abstract In this paper, we study Moore and semi--stratifiable spaces. We give characterizations of developable and semi--stratifiable spaces. We prove that: a regular space $X$ is semi--stratifiable if and only if it is a $beta$, quasi--semi--stratifiable and the following are equivalent for a regular $wDelta$--space $X$: begin{enumerate} item[(a)] $X$ is a Moore space; item[(b)] $X$ is a hereditarily weakly $theta$--refinable space with a quasi--${G}_delta$--diagonal; item[(c)] $X$ is a quasi--${G}^{*}_delta$--diagonal; item[(d)] $X$ is a quasi--semi--stratifiable space; item[(e)] $X$ is a quasi--$alpha$--space. end{enumerate} en
dc.publisher Department of Mathematics, The University of Auckland, New Zealand en
dc.relation.ispartofseries Research Reports - Department of Mathematics en
dc.rights.uri https://researchspace.auckland.ac.nz/docs/uoa-docs/rights.htm en
dc.source.uri http://www.math.auckland.ac.nz/Research/Reports/view.php?id=451 en
dc.title Characterizations of Moore and Semi-Stratifiable Spaces en
dc.type Technical Report en
dc.subject.marsden Fields of Research::230000 Mathematical Sciences::230100 Mathematics en
dc.rights.holder The author(s) en


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