Product and other fine structure in polynomial resolutions of mapping spaces.
Quelques calculs en cobordisme lagrangien
Nous considérons les groupes de cobordisme (définis par Arnold) d’immersions lagrangiennes exactes de variétés compactes dans . Grâce au théorème de Gromov-Lees, leur calcul est celui des groupes d’homotopie de spectres de Thom construits sur les espaces (cas non-orienté, le calcul est alors dû à Smith et Stong) et (cas orienté, groupes dont nous calculons la “partie paire”, et sur la “partie impaire” desquels nous donnons des informations). Nous calculons aussi les images de ces groupes dans...
Realizing Unstable Injectives.
Refining thick subcategory theorems
We use a K-theory recipe of Thomason to obtain classifications of triangulated subcategories via refining some standard thick subcategory theorems. We apply this recipe to the full subcategories of finite objects in the derived categories of rings and the stable homotopy category of spectra. This gives, in the derived categories, a complete classification of the triangulated subcategories of perfect complexes over some commutative rings. In the stable homotopy category of spectra we obtain only...
Self maps of spectra, a theorem of J. Smith, and Margolis' killing construction.
Slices and transfers.
Smash product of -local spectra at an odd prime
Splitting B (Z/p)n and BTn Via Modular Representation Theory.
Splittings of Spaces CX.
Stable homotopy as a triangulated functor.
Stable Naturality of Dyer-Lashof Structure Maps.
?SU (3) splits after four suspensions, but not two.
Sur le n-dual du n-ème spectre de Brown-Gitler.
Sur l'invariant de Kervaire des variétés fermées stablement parallélisées
Symmetric monoidal categories model all connective spectra.
Tensor products of spectra and localizations.
The Boardman category of spectra, chain complexes and (co)-localizations.
The Boolean algebra of spectra.
The cobordism of Real manifolds
We calculate completely the Real cobordism groups, introduced by Landweber and Fujii, in terms of homotopy groups of known spectra.
The -term of the descent spectral sequence for continuous -spectra.