On some kinds of factorizable topological groups

2022/05/03 by Meng Bao, Bao Meng, Xiaoquan Xu +2
Computer Science · Decision Sciences · Mathematics · #22A05 #54A25 #54H11 #Advanced Algebra and Logic #FOS: Mathematics #Fuzzy and Soft Set Theory #General Topology (math.GN) #Rings, Modules, and Algebras #math.GN #msc:22A05 #msc:54A25 #msc:54H11

paper · pdf · doi:10.48550/arxiv.2205.01511

14 pages

openalex publication_date 2022/05/03 · arxiv created 2022/05/14 · arxiv updated 2022/05/17 · openalex created_date 2022/05/22 · openalex updated_date 2026/07/28

Abstract

Based on the concepts of ℝ-factorizable topological groups and M-factorizable topological groups, we introduce four classes of factorizabilities on topological groups, named PM-factorizabilities, Pm-factorizabilities, SM-factorizabilities and PSM-factorizabilities, respectively. Some properties of the four classes of spaces are investigated.

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