6533b7d4fe1ef96bd12632e0

RESEARCH PRODUCT

A regular non-weakly discretely generated $$P$$-space

Spadaro S.Szeptycki P.

subject

Convergence propertyGeneral Mathematicsdiscretely generatedP-space

description

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 discrete subset of X.

https://doi.org/10.1007/s10474-022-01214-5