A regular non-weakly discretely generated P-space
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866929263988441088 |
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| author | Spadaro, Santi Szeptycki, Paul |
| author_facet | Spadaro, Santi Szeptycki, Paul |
| contents | We construct a consistent example of a topological space $Y=X \cup \{\infty\}$ such that:
1) $Y$ is regular.
2) Every $G_δ$ subset of $Y$ is open.
3) The point $\infty$ is not isolated, but it is not in the closure of any discrete subset of $X$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_01880 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A regular non-weakly discretely generated P-space Spadaro, Santi Szeptycki, Paul General Topology Primary: 54A25 Secondary: 54G10 We construct a consistent example of a topological space $Y=X \cup \{\infty\}$ such that: 1) $Y$ is regular. 2) Every $G_δ$ subset of $Y$ is open. 3) The point $\infty$ is not isolated, but it is not in the closure of any discrete subset of $X$. |
| title | A regular non-weakly discretely generated P-space |
| topic | General Topology Primary: 54A25 Secondary: 54G10 |
| url | https://arxiv.org/abs/2403.01880 |