Condensations with extra properties
General Topology
2025-11-19 v1
Abstract
We show that there are locally compact spaces that can be condensed onto separable spaces but not onto compact separable spaces. We also show that for every cardinal there is a locally compact topological group of cardinality that can be condensed onto a compact space but not onto a compact topological group. These answer some questions of Arhangel'skii and Buzyakova.
Cite
@article{arxiv.2511.13850,
title = {Condensations with extra properties},
author = {István Juhász and Jan van Mill and Lajos Soukup},
journal= {arXiv preprint arXiv:2511.13850},
year = {2025}
}
Comments
7 pages