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

Alexandru Chirvasitu

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arXiv · 2108.00341

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

Alexandru Chirvasitu

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Abstract

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.

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BibTeX RIS

Alexandru Chirvasitu. 2021-07-31. A characteristic-index inequality for closed embeddings of locally compact groups. https://arxiv.org/abs/2108.00341

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