Fibrations and coset spaces for locally compact groups
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866915118129872896 |
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| author | Kramer, Linus García, Raquel Murat |
| author_facet | Kramer, Linus García, Raquel Murat |
| contents | Let $G$ be a topological group and let $K,L\subseteq G$ be closed subgroups, with $K\subseteq L$.
We prove that if $L$ is a locally compact pro-Lie group, then the map $q:G/K\to G/L$ is a fibration. As an application of this, we obtain two older results by Skljarenko, Madison and Mostert. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_03843 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Fibrations and coset spaces for locally compact groups Kramer, Linus García, Raquel Murat Group Theory Algebraic Topology General Topology Let $G$ be a topological group and let $K,L\subseteq G$ be closed subgroups, with $K\subseteq L$. We prove that if $L$ is a locally compact pro-Lie group, then the map $q:G/K\to G/L$ is a fibration. As an application of this, we obtain two older results by Skljarenko, Madison and Mostert. |
| title | Fibrations and coset spaces for locally compact groups |
| topic | Group Theory Algebraic Topology General Topology |
| url | https://arxiv.org/abs/2408.03843 |