Construction of the homotopy category

In course

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Description

This lecture explains how to construct the homotopy category of a model category by utilizing cofibrant and fibrant replacement. It proves the existence of a category that is the target of a functor from the given model category, where weak equivalences are sent to isomorphisms.

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_7pbdrefy

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Ontological neighbourhood

Mathematics

Topology: Algebraic topology

Algebra: Abstract algebra

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