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arXiv · 2303.05196

Covering games using semi-open sets

Manoj Bhardwaj·Alexander V. Osipov
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Abstract

In this paper, we prove the following Theorems 1. An extremally disconnected space $X$ has the semi-Menger property if and only if One does not have a winning strategy in the game $G_{fin}(sO,sO)$. 2. An extremally disconnected space $X$ has the semi-Rothberger property if and only if One does not have a winning strategy in the game $G_1(sO,sO)$.

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Manoj Bhardwaj, Alexander V. Osipov. 2023-03-09. Covering games using semi-open sets. https://arxiv.org/abs/2303.05196

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