Non-Hausdorff $T_1$ Properties
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866909155299688448 |
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| author | Clontz, Steven |
| author_facet | Clontz, Steven |
| contents | Several weakenings of the $T_2$ property for topological spaces, including $k$-Hausdorff, $KC$, weakly Hausdorff, semi-Hausdorff, $RC$, and $US$, have been studied by mathematicians. Here we provide a complete survey of how these properties do or do not relate to one another, including several new results to fill in the gaps in the existing literature, motivated by the use of a community-maintained database of topological spaces and their properties. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_08328 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Non-Hausdorff $T_1$ Properties Clontz, Steven General Topology 54D10, 00A35 Several weakenings of the $T_2$ property for topological spaces, including $k$-Hausdorff, $KC$, weakly Hausdorff, semi-Hausdorff, $RC$, and $US$, have been studied by mathematicians. Here we provide a complete survey of how these properties do or do not relate to one another, including several new results to fill in the gaps in the existing literature, motivated by the use of a community-maintained database of topological spaces and their properties. |
| title | Non-Hausdorff $T_1$ Properties |
| topic | General Topology 54D10, 00A35 |
| url | https://arxiv.org/abs/2312.08328 |