Selective separability and $q^+$ on maximal spaces
General Topology
2020-01-22 v1
Abstract
Given a hereditarily meager ideal on a countable set we use Martin's axiom for countable posets to produce a zero-dimensional maximal topology on such that and, moreover, if is then is selectively separable (SS) and if is , so is . In particular, we obtain regular maximal spaces satisfying all boolean combinations of the properties SS and .
Keywords
Cite
@article{arxiv.2001.07156,
title = {Selective separability and $q^+$ on maximal spaces},
author = {Ramiro de la Vega and Javier Murgas and Carlos Uzcátegui},
journal= {arXiv preprint arXiv:2001.07156},
year = {2020}
}
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17 pages