Quillen equivalences of model categories and homotopy types

Pouya Adrom (University of Glasgow)

Monday 28th October, 2013 16:00-17:00 Maths 204

Abstract

Most of this talk will be an overview of abstract homotopy theory (also known as homotopical algebra/categorical homotopy theory), discussing how the notions of Quillen model categories and their localizations permit a general framework for comparing and relating "homotopy theories". We will illustrate the ideas in the context of a particular presentation, as internal categories, of topological homotopy n-types.

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