Soft Topological Transformation Groups

Gulay Oguz
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Gulay Oguz: Department of Mathematics, Faculty of Arts and Sciences, Harran University, Şanlıurfa 63300, Turkey

Mathematics, 2020, vol. 8, issue 9, 1-10

Abstract: The aim of the present study is to introduce the concept of soft topological transformation groups by examining the topological transformation groups, which are the core subject of algebraic topology under the soft approach. Actions of soft topological groups on soft topological spaces are studied, and the category of soft topological transformation groups is constructed. Also, a translation and conjugation of the soft topological groups are described. Finally, the definitions of soft orbit spaces and soft homogeneous spaces are given, and some of the properties of these concepts are examined in detail.

Keywords: soft action; soft topological group; soft (continuous) action; soft topological transformation group (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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