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Model Categories and Quillen Functors

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What is a model category?

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A
A category with a notion of weak equivalences, fibrations, and cofibrations.
💡 Explanation:

A model category is a category with a notion of weak equivalences, fibrations, and cofibrations. These notions are used to define a notion of homotopy category, which is a category that is equivalent to the original category in terms of its homotopy type.

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