The G-connected property and G-topological groups

2019/11/29 by Yongxing Wu, Wu, Yongxing, Fucai Lin +1
Decision Sciences · Mathematics · #22A05 #Advanced Topology and Set Theory #Approximation Theory and Sequence Spaces #FOS: Mathematics #Fuzzy and Soft Set Theory #General Topology (math.GN) #Group Theory (math.GR) #Primary 40J05 #Secondary 54A05

paper · pdf · doi:10.48550/arxiv.1911.12935

openalex publication_date 2019/11/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we discuss some properties of of G-hull, G-kernel and G-connectedness, and extend some results of \citelife34. In particular, we prove that the G-connectedness are preserved by countable product. Moreover, we introduce the concept of G-topological group, and prove that a G-topological group is a G-topology under the assumption of the regular method preserving the subsequence.

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