Page 1 Next

Displaying 1 – 20 of 100

Showing per page

A classification of small homotopy functors from spectra to spectra

Boris Chorny (2016)

Fundamenta Mathematicae

We show that every small homotopy functor from spectra to spectra is weakly equivalent to a filtered colimit of representable functors represented in cofibrant spectra. Moreover, we present this classification as a Quillen equivalence of the category of small functors from spectra to spectra equipped with the homotopy model structure and the opposite of the pro-category of spectra with the strict model structure.

Algebraic K-theory of rings from a topological viewpoint.

Dominique Arlettaz (2000)

Publicacions Matemàtiques

Because of its strong interaction with almost every part of pure mathematics, algebraic K-theory has had a spectacular development since its origin in the late fifties. The objective of this paper is to provide the basic definitions of the algebraic K-theory of rings and an overview of the main classical theorems. Since the algebraic K-groups of a ring R are the homotopy groups of a topological space associated with the general linear group over R, it is obvious that many general results follow...

Catégorie homotopique stable d’un site suspendu avec intervalle

Joël Riou (2007)

Bulletin de la Société Mathématique de France

Cet article présente la construction de la catégorie homotopique stable d’un site suspendu avec intervalle arbitraire. La fonctorialité de cette construction est étudiée, avec des applications à la théorie homotopique des schémas introduite par F. Morel et V. Voevodsky.

Currently displaying 1 – 20 of 100

Page 1 Next