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arXiv · 1909.11139

Thin Loop Groups

Moncef Ghazel·Sadok Kallel
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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.

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Moncef Ghazel, Sadok Kallel. 2019-09-24. Thin Loop Groups. https://arxiv.org/abs/1909.11139

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