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Metrizability of M-Spaces

Published online by Cambridge University Press:  20 November 2018

Harold W. Martin
Harold W. Martin*
Affiliation:
University of Pittsburgh, Pittsburgh, Pennsylvania
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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 Gδ-diagonal; in [1], Borges showed that a regular meta-Lindelöf M-space is metrizable if and only if it has a -diagonal.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 25 , Issue 4 , August 1973 , pp. 840 - 841
Copyright
Copyright © Canadian Mathematical Society 1973

References

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9. Zenor, P., On spaces with regular Go-diagonals, Pacific J. Math. 40 (1972), 759–763.Google Scholar