Cocycle Category

(Algebraic Topology)


Algebraic Topology
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What is Cocycle category?

In category theory, a branch of mathematics, the cocycle category of objects X, Y in a model category is a category in which the objects are pairs of maps and the morphisms are obvious commutative diagrams between them. It is denoted by . (It may also be defined using the language of 2-category.) One has: if the model category is right proper and is such that weak equivalences are closed under finite products, is bijective.

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algebraic topology

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