On Topological Groups of Automorphisms on Unions

2023/12/27 by Raushan Z. Buzyakova, Buzyakova, Raushan
Mathematics · #54C35 #54F05 #54H11 #Advanced Topics in Algebra #Advanced Topology and Set Theory #FOS: Mathematics #General Topology (math.GN) #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.2312.16398

openalex publication_date 2023/12/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study groups of homeomorphic bijections on spaces that are finite unions of compact connected linearly ordered subsets. We prove that all such groups when endowed with the topology of point-wise convergence are topological groups.

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