Metrizability of M-Spaces
Canadian journal of mathematics, Tome 25 (1973) no. 4, pp. 840-841

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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.
Martin, Harold W. Metrizability of M-Spaces. Canadian journal of mathematics, Tome 25 (1973) no. 4, pp. 840-841. doi: 10.4153/CJM-1973-086-0
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