Three problems in convergence theory
General Topology
2021-10-08 v1
Abstract
In this note it is proved that the class of paratopologies is simple and that under the assumption that the measurable cardinals form a proper class, the class of hypotopologies is not simple. Moreover, an example is given of a Hausdorff convergence with idempotent set adherence (subdiagonal convergence) that is not weakly diagonal.
Cite
@article{arxiv.2110.03538,
title = {Three problems in convergence theory},
author = {Jerzy Wojciechowski},
journal= {arXiv preprint arXiv:2110.03538},
year = {2021}
}
Comments
to appear in Topology Proceedings