Monoids of self-maps of topological spherical space forms

2020/10/12 by Daisuke Kishimoto, Kishimoto, Daisuke, Nobuyuki Oda +1
Mathematics · Physics and Astronomy · #55Q05 #Algebraic Geometry and Number Theory #Algebraic Topology (math.AT) #Black Holes and Theoretical Physics #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #math.AT #msc:55Q05

paper · pdf · doi:10.48550/arxiv.2010.05535

9 pages

arxiv created 2020/10/12 · openalex publication_date 2020/10/12 · arxiv updated 2020/10/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A topological spherical space form is the quotient of a sphere by a free action of a finite group. In general, their homotopy types depend on specific actions of a group. We show that the monoid of homotopy classes of self-maps of a topological spherical space form is determined by the acting group and the dimension of the sphere, not depending on a specific action.

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