Metrizability of <i>M</i>-Spaces

Type: Article

Publication Date: 1973-08-01

Citations: 13

DOI: https://doi.org/10.4153/cjm-1973-086-0

Abstract

An unsolved problem in metrization theory is whether every Hausdorff M -space with a Gg-diagonal is metrizable. There are several recent results which have a bearing upon this question. In [ 9 ], P. Zenor showed that an M -space is metrizable if and only if it has a regular G δ -diagonal; in [ 1 ], Borges showed that a regular meta-Lindelöf M -space is metrizable if and only if it has a -diagonal.

Locations

  • Canadian Journal of Mathematics - View - PDF

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