Iterations and unions of star selection properties on topological spaces
General Topology
2022-11-01 v1
Abstract
In this paper, we investigate what selection principles properties are possessed by small (with respect to the bounding and dominating numbers) unions of spaces with certain (star) selection principles.. Furthermore, we give several results about iterations of these properties and weaker properties than paracompactness. In addition, we study the behaviour of these iterated properties on -spaces. Finally, we show that, consistently, there is a normal star-Menger space that is not strongly star-Menger.
Keywords
Cite
@article{arxiv.2210.16638,
title = {Iterations and unions of star selection properties on topological spaces},
author = {Javier Casas-de la Rosa and William Chen-Mertens and Sergio Garcia-Balan},
journal= {arXiv preprint arXiv:2210.16638},
year = {2022}
}