Work

Covering games using semi-open sets

Year: 2023

Type: preprint

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 $G_1(sO,sO)$.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2303.05196

Authors: Bhardwaj, Manoj, Osipov, Alexander V.

Institutions: University of Delhi, Ural Federal University, N.N. Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of Sciences

Language: English

Topic: Advanced Topology and Set Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4323925605

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