The fundamental group of reduced suspensions
Group Theory
2023-03-07 v2
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.
Keywords
Cite
@article{arxiv.1712.08284,
title = {The fundamental group of reduced suspensions},
author = {Samuel M. Corson and Wolfram Hojka},
journal= {arXiv preprint arXiv:1712.08284},
year = {2023}
}