Compact condensations of Hausdorff spaces
General Topology
2020-07-27 v1
Abstract
In this paper, we continue to study one of the classic problems in general topology raised by P.S. Alexandrov: when a Hausdorff space has a continuous bijection (a condensation) onto a compactum? We concentrate on the situation when not only but also can be condensed onto a compactum whenever the cardinality of does not exceed certain .
Keywords
Cite
@article{arxiv.2007.12373,
title = {Compact condensations of Hausdorff spaces},
author = {Vitalii I. Belugin and Alexander V. Osipov and Evgenii G. Pytkeev},
journal= {arXiv preprint arXiv:2007.12373},
year = {2020}
}
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17 pages