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.

Spadaro S., Szeptycki P. (2022). A regular non-weakly discretely generated P-space. ACTA MATHEMATICA HUNGARICA, 166(1), 92-96 [10.1007/s10474-022-01214-5].

A regular non-weakly discretely generated P-space

Spadaro S.
;
2022-01-01

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 discrete subset of X.
2022
Spadaro S., Szeptycki P. (2022). A regular non-weakly discretely generated P-space. ACTA MATHEMATICA HUNGARICA, 166(1), 92-96 [10.1007/s10474-022-01214-5].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/569325
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