dc.contributor.author |
Mohamad, A.M. |
en |
dc.date.accessioned |
2009-08-28T03:21:51Z |
en |
dc.date.available |
2009-08-28T03:21:51Z |
en |
dc.date.issued |
1997-04 |
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dc.identifier.citation |
Department of Mathematics - Research Reports-374 (1997) |
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dc.identifier.issn |
1173-0889 |
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dc.identifier.uri |
http://hdl.handle.net/2292/5060 |
en |
dc.description.abstract |
This paper is a study of conditions under which a space with $S_2$ is metrizable, o-semimetrizable or semimetrizable. It is shown that: a $wMN$, $wgamma$-space is metrizable if and only if it has $S_2$, a quasi-$gamma$-space is metrizable if and only if it is a pseudo $wN$-space with $S_2$, a separable manifold is metrizable if and only if it has $S_2$ with property $(*)$, a perfectly normal manifold with quasi-${G}^{*}_delta$-diagonal is metrizable and a separable manifold is a hereditarily separable metrizable if and only if it has $theta$-${alpha}_2$. |
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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=374 |
en |
dc.title |
Metrization and semimetrization theorems with applications to manifolds |
en |
dc.type |
Technical Report |
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dc.subject.marsden |
Fields of Research::230000 Mathematical Sciences::230100 Mathematics |
en |
dc.rights.holder |
The author(s) |
en |