Semitopological $\delta$-Groups

Author:

İNAN Ebubekir1,UÇKUN Mustafa1

Affiliation:

1. ADIYAMAN UNIVERSITY

Abstract

The aim of this paper is to introduce semitopological $\delta$-group and topological $\delta$-group with the concept of $\delta$-group which arise from approximately algebraic structures. Furthermore, it is shown that product space determined with $\delta$-topological subspaces is a $\delta$-topological space. Fundamental system of open $\delta$-neighborhoods and related properties were investigated.

Publisher

Hacettepe University

Subject

Geometry and Topology,Statistics and Probability,Algebra and Number Theory,Analysis

Reference13 articles.

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2. [2] V.A. Efremovic, The geometry of proximity I, Mat. Sb. (N. S.) (Russian), 31 (73), 189-200, 1952.

3. [3] T. Husein, Introduction to Topological Groups, W.B. Sauders Company, 1966.

4. [4] E. Inan, Approximately semigroups and ideals: An algebraic view of digital images, Afyon Kocatepe University Journal of Science and Engineering, 17, 479-487, 2017.

5. [5] E. Inan, Approximately subgroups in proximal relator spaces, Adıyaman University Journal of Science, 8 (1), 24-41, 2018.

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Topological Group Construction in Proximity and Descriptive Proximity Spaces;Turkish Journal of Mathematics and Computer Science;2024-06-30

2. $\theta_f$-Approximations via fuzzy proximity relations: Semigroups in digital images;Malaya Journal of Matematik;2023-07-01

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