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On G-sequential connectedness

2011/12/22 by Hüseyi̇n Çakallı, Hüseyin Çakallı, Çakallı, Hüseyin +2
Decision Sciences · Mathematics · #22A05 #40J05 #54A05 #Advanced Topology and Set Theory #Approximation Theory and Sequence Spaces #FOS: Mathematics #Fuzzy and Soft Set Theory #General Topology (math.GN) #math.GN #msc:22A05 #msc:40J05 #msc:54A05

paper · pdf · doi:10.48550/arxiv.1201.1796

11 pages, Research paper. arXiv admin note: substantial text overlap with arXiv:1105.2203

arxiv created 2011/12/22 · openalex publication_date 2011/12/22 · arxiv updated 2012/01/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Recently, Cakalli has introduced a concept of G-sequential connectedness in the sense that a non-empty subset A of a Hausdorff topological group X is G-sequentially connected if there are no non-empty, disjoint G-sequentially closed subsets U and V meeting A such that A⊆ U\bigcup V. In this paper we investigate further properties of G-sequential connectedness and prove some interesting theorems.

Citations

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