A model for the homotopy theory of homotopy theory

Details A model for the homotopy theory of homotopy theory A model for the homotopy theory of homotopy theory

1998-11-06

arxiv.org/abs/math/9811037v3

Trans. Amer. Math. Soc. 353 (2001), 973-1007

Mathematics

Algebraic Topology

revisions for publication, to appear in AMS Trans

Scientific paper

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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