Topological Group Construction In Proximity And Descriptive Proximity Spaces

2023/08/19 by İs, Melih · 1 citation
#22A05 #22A20 #54E05 #54E17 #54H05 #FOS: Mathematics #General Topology (math.GN)

paper · doi:10.48550/arxiv.2309.00634

Abstract

This paper aims to examine the version of the topological group structure in proximity and especially descriptive proximity spaces, that is, the concepts of proximal group and descriptive proximal group are introduced. In addition, the concepts of homomorphism and isomorphism, which give important results in group theory, are discussed by interpreting the concepts of continuity in the theory of (descriptive) proximity.

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• Proximal and Descriptive Topological Rings: Structure and Properties

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