• Corpus ID: 55124577

The fundamental group of reduced suspensions

@article{Corson2017TheFG,
  title={The fundamental group of reduced suspensions},
  author={Samuel M. Corson and Wolfram Hojka},
  journal={arXiv: Group Theory},
  year={2017}
}
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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References

SHOWING 1-7 OF 7 REFERENCES
Atomic property of the fundamental groups of the Hawaiian earring and wild locally path-connected spaces
  • Eda
  • Mathematics
  • 2011
We strengthen previous results on the fundamental groups of the Hawaiian earring and wild Peano continua. Let X be a path-connected, locally path-connected, first countable space which is not locally
Archipelago groups
The classical archipelago is a non-contractible subset of R3 which is homeomorphic to a disk except at one non-manifold point. Its fundamental group, A , is the quotient of the topologist’s product
Über die Klassen der Sphärenabbildungen I. Große Dimensionen
© Foundation Compositio Mathematica, 1938, tous droits réservés. L’accès aux archives de la revue « Compositio Mathematica » (http: //http://www.compositio.nl/) implique l’accord avec les conditions
Sieradski, Weighted combinatorial group theory and wild metric complexes, Groups–Korea
  • 2000