No Product Theorem for the Covering Dimension of Topological Groups
General Topology
2022-07-12 v1
Abstract
Two (strongly) zero-dimensional Lindel\"of topological groups whose product has positive covering dimension are constructed. An example of a Lindel\"of (strongly) zero-dimensional space whose free and free Abelian topological groups are not strongly zero-dimensional is given.
Keywords
Cite
@article{arxiv.2207.04961,
title = {No Product Theorem for the Covering Dimension of Topological Groups},
author = {Ol'ga Sipacheva},
journal= {arXiv preprint arXiv:2207.04961},
year = {2022}
}