A model for the homotopy theory of homotopy theory

Authors
Citation
C. Rezk, A model for the homotopy theory of homotopy theory, T AM MATH S, 353(3), 2000, pp. 973-1007
Citations number
19
Categorie Soggetti
Mathematics
Journal title
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN journal
00029947 → ACNP
Volume
353
Issue
3
Year of publication
2000
Pages
973 - 1007
Database
ISI
SICI code
0002-9947(2000)353:3<973:AMFTHT>2.0.ZU;2-T
Abstract
We describe a category, the objects of which may be viewed as models for ho motopy theories. We show that for such models, "functors between two homoto py theories form a homotopy theory", or more precisely that the category of such models has a well-behaved internal hom-object.