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Keywords:
zeroset diagonal; regular $G_\delta$-diagonal; submetrizable; countable extent
zeroset diagonal; regular $G_\delta$-diagonal; submetrizable; countable extent
Summary:
We show that if $X^2$ has countable extent and $X$ has a zeroset diagonal then $X$ is submetrizable. We also make a couple of observations regarding spaces with a regular $G_\delta$-diagonal.
References:
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