$G_\delta$-refinements
General Topology
2017-04-03 v1
Abstract
In this work we deal with the preservation by -refinements. We prove that for -scattered spaces the metacompactness, paralindel\"ofness, metalindel\"ofness and linear lindel\"ofness are preserved by -refinements. In this context we also consider some other generalizations of discrete spaces like -scattered and -scattered. In the final part of this paper we look at a question of Juh\'asz, Soukup, Szentmikl\'ossy and Weiss concerning the tighness of the -refinement of a -product.
Cite
@article{arxiv.1703.10650,
title = {$G_\delta$-refinements},
author = {Robson A. Figueiredo},
journal= {arXiv preprint arXiv:1703.10650},
year = {2017}
}