Cubical homotopy theory and monoidal model categories
By: by Samuel Baruch Isaacson
Published: 2009
Language: eng
Number of pages: 154
Description: Suppose [Special characters omitted.] is a combinatorial symmetric monoidal model category. Dan Dugger has shown that [Special characters omitted.] may be realized as a left Bousfield localization of the projective model structure on simplicial presheaves on a small site. However, if [Special characters omitted.] is not already simplicially enriched, this presentation will not respect the monoidal structure of [Special characters omitted.] . In this paper we will construct a symmetric cubical site [Special characters omitted.] extending the classical cubical site. By replacing the category of simplicial sets with the category of presheaves of sets over [Special characters omitted.] we can use Dugger's methods to produce a presentation of [Special characters omitted.] as presheaves of spaces on a monoidal site retaining the monoidal structure in [Special characters omitted.] as the convolution product.
Notes: "April 2009."

Thesis (Ph.D., Dept. of Mathematics)--Harvard University, 2009.

Includes bibliographical references.