Fibrations and Coset Spaces for Locally Compact Groups

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2025年1月27日

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Linus Kramer,
Raquel Murat García

摘要

Let G be a topological group and let $K,L\subseteq G$ $K, L \subseteq G$ be closed subgroups, with $K\subseteq L$ $K \subseteq L$ . We prove that if L is a locally compact pro-Lie group, then the map $q:G/K\rightarrow G/L$ $q : G / K \to G / L$ is a Serre fibration, and a Hurewicz fibration if G is paracompact. As an application of this, we obtain two older results by Skljarenko, Madison and Mostert.