Embeddings into monothetic groups
Group Theory
2016-12-14 v1 General Topology
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.
Cite
@article{arxiv.1612.04233,
title = {Embeddings into monothetic groups},
author = {Michal Doucha},
journal= {arXiv preprint arXiv:1612.04233},
year = {2016}
}
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2 pages