Covering games using semi-open sets
General Topology
2023-03-10 v1
Abstract
In this paper, we prove the following Theorems 1. An extremally disconnected space has the semi-Menger property if and only if One does not have a winning strategy in the game . 2. An extremally disconnected space has the semi-Rothberger property if and only if One does not have a winning strategy in the game .
Cite
@article{arxiv.2303.05196,
title = {Covering games using semi-open sets},
author = {Manoj Bhardwaj and Alexander V. Osipov},
journal= {arXiv preprint arXiv:2303.05196},
year = {2023}
}
Comments
10 pages. arXiv admin note: substantial text overlap with arXiv:1904.02736 by other authors