-homotopy theory.
A Cellular Construction of BP and Other Irreducible Spectra.
A chain rule in the calculus of homotopy functors.
A classification of small homotopy functors from spectra to spectra
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.
A Note on the algebra P(n) * (P(n)) for the Prime 2.
A sheaf-theoretic view of loop spaces.
A splitting theorem for connected Morava k-theories.
A suspension spectral sequence for vn-periodic homotopy groups.
Algebraic K-theory of rings from a topological viewpoint.
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...
An inverse -theory functor.
Boolean algebras in algebraic topology.
Brown-Peterson spectra in stable -homotopy theory
Catégorie homotopique stable d’un site suspendu avec intervalle
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.
Central Adams operators.
Chain theories and simplicial abelian group spectra.
Classifying spectra of saturated fusion systems.
Colocalizations and their realizations as spectra.
Connected Morava K-Theories.
Cores of spaces, spectra, and ring spectra.
Correction to "The Boolean algebra of spectra", Vol. 54 (1979), pp. 368-377.