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The fundamental group of reduced suspensions

Volume 264 / 2024

Samuel M. Corson, Wolfram Hojka Fundamenta Mathematicae 264 (2024), 217-239 MSC: Primary 14F35; Secondary 55P40, 57M30 DOI: 10.4064/fm309-11-2023 Published online: 8 February 2024


We classify pointed spaces according to the fundamental group of their reduced suspension. A pointed space is either of horseshoe type or has fundamental group isomorphic to that of a totally path disconnected space. Among totally path disconnected spaces, the fundamental group is shown to be a complete invariant for a notion of topological equivalence weaker than that of homeomorphism.


  • Samuel M. CorsonMatematika Saila
    UPV/EHU, Sarriena S/N
    48940, Leioa, Bizkaia, Spain
  • Wolfram HojkaInstitute for Analysis and Scientific Computation
    Technische Universität Wien
    Wien, Austria

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