Lecture

Homotopy Category of a Model Category

In course

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Description

This lecture introduces the concept of the homotopy category of a model category, where weak equivalences are inverted to become isomorphisms. It covers the localization of a category, fibrant and cofibrant replacements, and the uniqueness of homotopy equivalences. The instructor discusses the construction of the homotopy category in the next lecture.

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_sjjgf9nd

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Ontological neighbourhood

Mathematics

Topology: Algebraic topology

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