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arXiv · 2403.01880

A regular non-weakly discretely generated P-space

Santi Spadaro·Paul Szeptycki
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Abstract

We construct a consistent example of a topological space $Y=X \cup \{\infty\}$ such that: 1) $Y$ is regular. 2) Every $G_\delta$ subset of $Y$ is open. 3) The point $\infty$ is not isolated, but it is not in the closure of any discrete subset of $X$.

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Santi Spadaro, Paul Szeptycki. 2024-03-04. A regular non-weakly discretely generated P-space. https://doi.org/10.1007/s10474-022-01214-5

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