A regular non-weakly discretely generated P -space

S. Spadaro; P. Szeptycki

doi:10.1007/s10474-022-01214-5

A regular non-weakly discretely generated P -space

S. Spadaro, P. Szeptycki

Research output: Contribution to journal › Article › peer-review

Abstract

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

Original language	English
Pages (from-to)	92-96
Number of pages	5
Journal	Acta Mathematica Hungarica
Volume	166
Issue number	1
DOIs	https://doi.org/10.1007/s10474-022-01214-5
State	Published - 1 Feb 2022
Externally published	Yes

Keywords

P-space
convergence property
discretely generated

ASJC Scopus subject areas

General Mathematics

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10.1007/s10474-022-01214-5

Cite this

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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.",

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AB - 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.

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KW - convergence property

KW - discretely generated

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A regular non-weakly discretely generated P -space

Abstract

Keywords

ASJC Scopus subject areas

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