Thin Loop Groups

2019/09/24 by Moncef Ghazel, Sadok Kallel, Ghazel, Moncef +1
Mathematics · #55P35 #Advanced Topics in Algebra #Algebraic Topology (math.AT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Mathematics and Applications

paper · pdf · doi:10.48550/arxiv.1909.11139

openalex publication_date 2019/09/24 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28

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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