Homotopical realizations of innity groupoids

Authors

  • Jan McGarry Furriol University of Copenhagen

Keywords:

homotopy hypothesis, fundamental infinity groupoid, Moore paths.

Abstract

Grothendieck's homotopy hypothesis asserts that the study of homotopy types of topological spaces is equivalent to the study of 1-groupoids. In practice, after one has chosen a model for higher categories, the equivalence is realized by the assignment of the fundamental 1-groupoid to a topological space. We propose an accessible model for the fundamental 1-groupoid, using topological categories to model 1-groupoids.

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Author Biography

Jan McGarry Furriol, University of Copenhagen




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How to Cite

McGarry Furriol, J. (2021). Homotopical realizations of innity groupoids. Reports@SCM, 6(1), 49–57. Retrieved from https://revistes.iec.cat/index.php/reports/article/view/149536

Issue

Vol. 6 No. 1 (2021)

Section

Articles

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