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arXiv · 1612.04233

Embeddings into monothetic groups

Michal Doucha
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Abstract

We provide a very short elementary proof that every bounded separable metric group embeds into a monothetic bounded metric group, in such a way that the result of Morris and Pestov that every separable abelian topological group embeds into a monothetic group is an immediate corollary. We show that the boundedness assumption is essential.

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Michal Doucha. 2016-12-01. Embeddings into monothetic groups. https://arxiv.org/abs/1612.04233

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