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dc.contributor.advisorCasacuberta, Carles-
dc.contributor.authorMcGarry Furriol, Jan-
dc.descriptionTreballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2020, Director: Carles Casacubertaca
dc.description.abstract[en] Grothendieck’s homotopy hypothesis asserts that the study of homotopy types of topological spaces is equivalent to the study of $\infty$-groupoids, illustrating how important ideas in higher category theory stem from basic homotopical concepts. In practice there are distinct models for $\infty$-groupoids, and providing a proof of the homotopy hypothesis is a test for the suitability of any such model. In this thesis, we give a proof of the homotopy hypothesis using topological categories (i.e., categories enriched over topological spaces) as models for $\infty$-groupoids. In the same context, we propose a manageable model for the fundamental $\infty$-groupoids of a topological
dc.format.extent56 p.-
dc.rightscc-by-nc-nd (c) Jan McGarry Furriol, 2020-
dc.subject.classificationCategories (Matemàtica)ca
dc.subject.classificationTreballs de fi de grau-
dc.subject.classificationTeoria de l'homotopiaca
dc.subject.otherCategories (Mathematics)en
dc.subject.otherBachelor's theses-
dc.subject.otherHomotopy theoryen
dc.titleHomotopical realizations of infinity Groupoidsca
Appears in Collections:Treballs Finals de Grau (TFG) - Matemàtiques

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