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SANTI DOMENICO SPADARO

A regular non-weakly discretely generated P-space

Abstract

We construct a consistent example of a topological space Y= X∪ {∞} such that: (1) Y is regular. (2) Every Gδ subset of Y is open. (3) The point ∞ is not isolated, but it is not in the closure of any discretesubset of X.