Title

Induced Model Category Structures

Date of Award

1981

Availability

Article

Degree Name

Doctor of Philosophy (Ph.D.)

Department

Mathematics

Abstract

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.

Keywords

Mathematics

Link to Full Text

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