publication . Article . 2019

Topological Group Via Operations defined on α-Open Sets

Hariwan Z. Ibrahim; Alias B. Khalaf;
Open Access
  • Published: 13 Jul 2019 Journal: General Letters in Mathematics, volume 6, pages 16-27 (issn: 2519-9269, eissn: 2519-9277, Copyright policy)
  • Publisher: Refaad for Studies and Research
Abstract
In this paper, we begin the study of β-α-continuous multiplication map. Here we begin by stating some properties of β-α-continuous multiplication and define the β-α-continuity of the inversion map as well. We then introduce the concept of β-α-topological groups and we go over some important theorems and examples of such spaces.
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Subjects
free text keywords: operations, α-open set, groups, β-α-topological group, Mathematics, Open set, Combinatorics, Topological group, lcsh:Mathematics, lcsh:QA1-939
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