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A model for the homotopy theory of homotopy theory

Charles Rezk

math.ATarXiv:math/9811037

Abstract

We describe a category, the objects of which may be viewed as models for homotopy theories. We show that for such models, ``functors between two homotopy theories form a homotopy theory'', or more precisely that the category of such models has a well-behaved internal hom-object.

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