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Open AccessArticle

Soft Topological Transformation Groups

Department of Mathematics, Faculty of Arts and Sciences, Harran University, Şanlıurfa 63300, Turkey
Mathematics 2020, 8(9), 1545; https://doi.org/10.3390/math8091545
Received: 20 July 2020 / Revised: 2 September 2020 / Accepted: 3 September 2020 / Published: 10 September 2020
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. View Full-Text
Keywords: soft action; soft topological group; soft (continuous) action; soft topological transformation group soft action; soft topological group; soft (continuous) action; soft topological transformation group
MDPI and ACS Style

Oguz, G. Soft Topological Transformation Groups. Mathematics 2020, 8, 1545. https://doi.org/10.3390/math8091545

AMA Style

Oguz G. Soft Topological Transformation Groups. Mathematics. 2020; 8(9):1545. https://doi.org/10.3390/math8091545

Chicago/Turabian Style

Oguz, Gulay. 2020. "Soft Topological Transformation Groups" Mathematics 8, no. 9: 1545. https://doi.org/10.3390/math8091545

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