Thin Loop Groups

Moncef Ghazel; Sadok Kallel

Thin Loop Groups

Algebraic Topology 2019-09-26 v1

Authors: Moncef Ghazel , Sadok Kallel

Abstract

We verify that for a finite simplicial complex $X$ and for piecewise linear loops on $X$ , the "thin" loop space is a topological group of the same homotopy type as the space of continuous loops. This turns out not to be the case for the higher loops.

Keywords

homotopy groups homotopy theory topological groups

Cite

@article{arxiv.1909.11139,
  title  = {Thin Loop Groups},
  author = {Moncef Ghazel and Sadok Kallel},
  journal= {arXiv preprint arXiv:1909.11139},
  year   = {2019}
}

Comments

19 pages, 5 figures

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