Induced Model Category Structures
Date of Award
Doctor of Philosophy (Ph.D.)
The category of simplicial sets S, has a structure of a closed simplicial model category. Quillen has shown that the singular functor induces such a structure on the category of topological spaces. The object of this dissertation is to generalize this result and to give the conditions on a category T and on a functor f(,*): T (--->) S such that f(,*) induces the structures: simplicial category, semi-model category, model category, closed model category and closed simplicial model category on T.Some abstract results, needed to simplify various proofs, on enriched categories, coinduced homotopy and adjoint functors are also derived.
Rai Choudhary, Ram Krishna, "Induced Model Category Structures" (1981). Dissertations from ProQuest. 1248.