A universal $P$-group of weight $\aleph$
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915559829929984 |
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| author | van Mill, Jan |
| author_facet | van Mill, Jan |
| contents | We show that under the Continuum Hypothesis, the topological group of all homeomorphisms of the Čech-Stone remainder of $ω$ with the $G_δ$-topology, is a universal object for all $P$-groups of weight at most ${\mathfrak c}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_15855 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A universal $P$-group of weight $\aleph$ van Mill, Jan General Topology 54D35, 54H11, 22A05 We show that under the Continuum Hypothesis, the topological group of all homeomorphisms of the Čech-Stone remainder of $ω$ with the $G_δ$-topology, is a universal object for all $P$-groups of weight at most ${\mathfrak c}$. |
| title | A universal $P$-group of weight $\aleph$ |
| topic | General Topology 54D35, 54H11, 22A05 |
| url | https://arxiv.org/abs/2510.15855 |