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arXiv · 1712.08284

The fundamental group of reduced suspensions

Samuel M. Corson·Wolfram Hojka
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Abstract

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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Samuel M. Corson, Wolfram Hojka. 2017-12-22. The fundamental group of reduced suspensions. https://arxiv.org/abs/1712.08284

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