局部紧凑群的振型和余集空间

Linus Kramer, Raquel Murat García
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引用次数: 0

摘要

让 $G$ 是一个拓扑群,让 $K,L/subseteq G$ 是封闭子群,其中 $K/subseteq L$。我们证明,如果 $L$ 是一个局部紧凑的亲李群,那么映射$q:G/K\to G/L$ 是一个纤度。作为其应用,我们得到了斯克里亚连科、麦迪逊和莫斯特的两个较早的结果。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Fibrations and coset spaces for locally compact groups
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.
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