Lecture

Model Category: Definition and Elementary Properties

In course

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Description

This lecture introduces the definition of a model category, a category with extra structure enabling the definition of homotopy of morphisms. It covers the axioms of a model category, including the 2-out-of-3 axiom, retraction axiom, lifting axiom, and factorization axiom. The lecture also discusses the properties of fibrations, cofibrations, weak equivalences, acyclic fibrations, acyclic cofibrations, cofibrant and fibrant objects, and bifibrant objects.

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_0egwm3el

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Ontological neighbourhood

Mathematics

Topology: Algebraic topology

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