Tensor products of spectra and localizations.
The Boardman category of spectra, chain complexes and (co)-localizations.
The Boolean algebra of spectra.
The classification of weighted projective spaces
We obtain two classifications of weighted projective spaces: up to hoeomorphism and up to homotopy equivalence. We show that the former coincides with Al Amrani's classification up to isomorphism of algebraic varieties, and deduce the latter by proving that the Mislin genus of any weighted projective space is rigid.
The classifying space of the 1 + 1 dimensional cobordism category.
The cyclotomic trace and algebraic K-theory of spaces.
The homotopy groups of the L2 -localization of a certain type one finite complex at the prime 3
For the Brown-Peterson spectrum BP at the prime 3, denotes Hazewinkel’s second polynomial generator of . Let denote the Bousfield localization functor with respect to . A typical example of type one finite spectra is the mod 3 Moore spectrum M. In this paper, we determine the homotopy groups for the 8 skeleton X of BP.
The homotopy groups of the L2-localized Mahowald spectrum.
The Milnor-Moore theorem in Tame Homotopy theory.
The monoid of suspensions and loops modulo Bousfield equivalence
The suspension and loop space functors, Σ and Ω, operate on the lattice of Bousfield classes of (sufficiently highly connected) topological spaces, and therefore generate a submonoid ℒ of the complete set of operations on the Bousfield lattice. We determine the structure of ℒ in terms of a single parameter of homotopy theory which is closely tied to the problem of desuspending weak cellular inequalities.
The normalizer of the Weyl group.
The rational homotopy of Thom spaces and the smoothing of homology classes.
Théorie homotopique des groupes de Lie