Projectively universal countable metrizable groups
Group Theory
2021-08-31 v2
Abstract
We prove that there exists a countable metrizable topological group such that every countable metrizable group is isomorphic to a quotient of . The completion of is a Polish group such that every Polish group is isomorphic to a quotient of .
Cite
@article{arxiv.1409.4108,
title = {Projectively universal countable metrizable groups},
author = {Vladimir G. Pestov and Vladimir V. Uspenskij},
journal= {arXiv preprint arXiv:1409.4108},
year = {2021}
}
Comments
7 pages, latex 2e. The proof at the end of Section 3 has been expanded, minor inaccuracies fixed