A characterization of 𝑀₀-spaces

Junnila, Heikki J. K.

doi:10.1090/S0002-9939-1984-0744653-8

A characterization of $M_{0}$-spaces
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by Heikki J. K. Junnila

Proc. Amer. Math. Soc. 91 (1984), 481-484

DOI: https://doi.org/10.1090/S0002-9939-1984-0744653-8

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Abstract:

The following result is obtained. Theorem. A ${T_1}$-space has a $\sigma$-closure-preserving base consisting of clopen sets iff the space can be embedded in the product of countably many $\sigma$-discrete stratifiable spaces.

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On strongly zero-dimensional

-metrizable stratifiable spaces

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