An observation on spaces with a zeroset diagonal

We say that a space $X$ has the discrete countable chain condition (DCCC for short) if every discrete family of nonempty open subsets of $X$ is countable. A space $X$ has a zeroset diagonal if there is a continuous mapping $f X^2 \rightarrow[0,1]$ with $\Delta_X=f^{-1}(0)$, where $\Delta_X=\{(x,x)\c...

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Bibliographic Details
Main Author: Wei-Feng Xuan
Format: Article
Language:English
Published: Institute of Mathematics of the Czech Academy of Science 2020-04-01
Series:Mathematica Bohemica
Subjects:
Online Access:http://mb.math.cas.cz/full/145/1/mb145_1_2.pdf