A characteristic-index inequality for closed embeddings of locally compact groups

Autor:	Chirvasitu, Alexandru
Rok vydání:	2021
Předmět:	Mathematics - Group Theory Mathematics - Algebraic Topology Mathematics - General Topology 22D05 22E15 22E60 57T15 55T10
Druh dokumentu:	Working Paper
Popis:	The characteristic index of a locally compact connected group $G$ is the non-negative integer $d$ for which we have a homeomorphism $G\cong K\times \mathbb{R}^d$ with $K\le G$ maximal compact. We prove that the characteristic indices of closed connected subgroups are dominated by those of the ambient groups. Comment: 10 pages + references
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2108.00341 Zobrazit plný text záznamu View this record from Arxiv