A model for the homotopy theory of homotopy theory
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.
- Publication:
-
arXiv Mathematics e-prints
- Pub Date:
- November 1998
- arXiv:
- arXiv:math/9811037
- Bibcode:
- 1998math.....11037R
- Keywords:
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- Mathematics - Algebraic Topology;
- Mathematics - Category Theory;
- 55U35 (Primary);
- 18G30 (Secondary)
- E-Print:
- revisions for publication, to appear in AMS Trans