• 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. 

Figures from this paper

References

SHOWING 1-9 OF 9 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

Weighted Combinatorial Group Theory and Wild Metric Complexes

In this paper, we develop the low dimensional homotopy theory required for weighted combinatorial group theory. In [S97], the usual concepts of generators and relators of group presentations are

The Foundation of Science

To address the question “What is the foundation of science?” I base my response on the two substantive constructs of the question: science and foundation.

Über die Klassen der Sphärenabbildung I

  • Große Dimensionen, Compos. Math
  • 1938

Institute for Analysis and Scientific Computation