• Corpus ID: 55124577

The fundamental group of reduced suspensions

  title={The fundamental group of reduced suspensions},
  author={Samuel M. Corson and Wolfram Hojka},
  journal={arXiv: Group Theory},
We classify pointed spaces according to the first fundamental group of their reduced suspension. A pointed space is either of so-called totally path disconnected type or of horseshoe type. These two camps are defined topologically but a characterization is given in terms of fundamental groups. 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. 

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