Preservation of Topological Properties by Strongly Proper Forcings
Logic
2024-10-04 v3 General Topology
Abstract
In this paper we show that forcings which are strongly proper for stationarily many countable elementary submodels preserve each of the following properties of topological spaces: countably tight; Lindel\"of; Rothberger; Menger; and a strategic version of Rothberger. This extends results from Dow, as well as from Iwasa and from Kada.
Cite
@article{arxiv.2408.02495,
title = {Preservation of Topological Properties by Strongly Proper Forcings},
author = {Thomas Gilton and Jared Holshouser},
journal= {arXiv preprint arXiv:2408.02495},
year = {2024}
}