Geodesic
Observations on spaces with zeroset or regular $G_\delta$-diagonals
Commentationes Mathematicae Universitatis Carolinae, Tome 46 (2005) no. 3, pp. 469-473.

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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.
Classification : 54A25, 54E35, 54E99
Keywords: zeroset diagonal; regular $G_\delta$-diagonal; submetrizable; countable extent 
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     title = {Observations on spaces with zeroset  or regular $G_\delta$-diagonals},
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Buzyakova, Raushan Z. Observations on spaces with zeroset  or regular $G_\delta$-diagonals. Commentationes Mathematicae Universitatis Carolinae, Tome 46 (2005) no. 3, pp. 469-473. http://geodesic.mathdoc.fr/item/CMUC_2005__46_3_a8/