Dualité d'Eckmann-Hilton à travers les modèles de Chen-Quillen-Sullivan
Fibrations in the Category of Absolute Neighborhood Retracts
The category Top of topological spaces and continuous maps has the structures of a fibration category and a cofibration category in the sense of Baues, where fibration = Hurewicz fibration, cofibration = the usual cofibration, and weak equivalence = homotopy equivalence. Concentrating on fibrations, we consider the problem: given a full subcategory 𝓒 of Top, is the fibration structure of Top restricted to 𝓒 a fibration category? In this paper we take the special case where 𝓒 is the full subcategory...
Galois Action on Algebraic Matrix Groups, Chern Classes, and the Euler Class.
Homotopy actions, cyclic maps and their duals.
Hurewicz Theorems for Pairs and Squares.
Induced mappings of homology decompositions
We give conditions for a map of spaces to induce maps of the homology decompositions of the spaces which are compatible with the homology sections and dual Postnikov invariants. Several applications of this result are obtained. We show how the homotopy type of the (n+1)st homology section depends on the homotopy type of the nth homology section and the (n+1)st homology group. We prove that all homology sections of a co-H-space are co-H-spaces, all n-equivalences of the homology decomposition are...
Modèles minimaux pour les algèbres de chaines
On Pierce-like idempotents and Hopf invariants.
Quelques contre-exemples pour la LS catégorie d'une algèbre de cochaînes
À toute algèbre de cochaînes sont associés les invariants numériques suivants : , et qui approximent, pour tout corps et lorsque , la catégorie au sens de Lusternik-Schnirelmann de l’espace . Nous montrons dans cet article que ces trois invariants sont deux à deux distincts.
Rationale Homotopietypen.
The Gray filtration on phantom maps
This paper is a study of the Gray index of phantom maps. We give a new, tower theoretic, definition of the Gray index, which allows us to study the naturality properties of the Gray index in some detail. McGibbon and Roitberg have shown that if f* is surjective on rational cohomology, then the induced map on phantom sets is also surjective. We show that if f* is surjective just in dimension k, then f induces a surjection on a certain subquotient of the phantom set. If the condition...
Zur Struktur der Puppe-Folge für halbexakte Funktoren.