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Discrete homogeneity and ends of manifolds

2022/10/10 by Vitalij A. Chatyrko, Chatyrko, Vitalij A., Alexandre Karassev +1
Mathematics · #Advanced Topology and Set Theory #FOS: Mathematics #General Topology (math.GN) #Geometric Topology (math.GT) #Homotopy and Cohomology in Algebraic Topology #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.2210.04978

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

Abstract

It is shown that a connected non-compact metrizable manifold of dimension ≥ 2 is strongly discrete homogeneous if and only if it has one end (in the sense of Freudenthal compactification).

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