𝜎-hereditarily closure-preserving 𝑘-networks and 𝑔-metrizability

Tanaka, Yoshio

doi:10.1090/S0002-9939-1991-1049850-6

$\sigma$-hereditarily closure-preserving $k$-networks and $g$-metrizability
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by Yoshio Tanaka

Proc. Amer. Math. Soc. 112 (1991), 283-290

DOI: https://doi.org/10.1090/S0002-9939-1991-1049850-6

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Abstract:

We show that a regular space is $g$-metrizable if and only if it is a weakly first countable space with a $\sigma$-hereditarily closure-preserving $k$-network.

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