On Topological Groups of Monotonic Autohomeomorphisms

2022/12/19 by Raushan Z. Buzyakova, Buzyakova, Raushan
Mathematics · #54C35 #54F05 #54H11 #Advanced Banach Space Theory #Advanced Topology and Set Theory #FOS: Mathematics #Functional Equations Stability Results #General Topology (math.GN)

paper · pdf · doi:10.48550/arxiv.2212.09236

openalex publication_date 2022/12/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study topological groups of monotonic autohomeomorphisms on a generalized ordered space L. We find a condition that is necessary and sufficient for the set of all monotonic autohomeomorphisms on L along with the function composition and the topology of point-wise convergence to be a topological group.

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