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.

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 discretesubset of X.
2022
convergence property
discretely generated
P-space
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11769/644375
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