Raushan Z. Buzyakova
Observations on spaces with zeroset or regular $G_\delta $-diagonals

Comment.Math.Univ.Carolinae 46,3 (2005) 469-473.

Abstract: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.

Keywords: zeroset diagonal, regular $G_\delta $-diagonal, submetrizable, countable extent
AMS Subject Classification: 54E99, 54A25