Gruppen von Homotopieklassen von Abbildungen in Produkte von Eilenberg-Maclane-Räumen.
-space structure on pointed mapping spaces.
H-espacios finitos no simplemente conexos.
Utilizando la técnica de mezclar grupos de homotopía introducida por Zabrodsky [10], obtenemos aquí nuevos H-espacios finitos no simplemente conexos, cuyos más conocidos ejemplos son los que tienen por cubrimiento universal los H-espacios de rango 2 y tipo (3,7) generalmente denotados como Ekω.
Higher Forms of Homotopy Commutativity and Finite Loop Spaces.
Homotopy classes that are trivial mod .
Homotopy commutativity of finite loop spaces.
Homotopy Groups of H-Spaces I
Homotopy Nilpotency and Localization.
Homotopy operations and the obstructions to being an H-space.
Homotopy type of total loop spaces
Hopf Structures on Stiefel Manifolds.
H-Spaces of Rank Two and Non-Concellation Phenomena.
Idempotent Topological Groupoids with Non-Empty Center.
Idempotente Multiplikationen.
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...
La décomposition en poids des algèbres de Hopf
Si est une algèbre de Hopf commutative ou cocommutative et connexe, les puissances de convolution et le logarithme, au sens du produit de convolution, du morphisme identité de satisfont à diverses identités algébriques. L’algèbre de Hopf admet en particulier une décomposition en poids sous l’action des morphismes , dont nous étudions les propriétés.
Les espaces de bracelets et les complexes de Stasheff
Lie groups and -compact groups.
Loop spaces and homotopy operations
We describe an obstruction theory for an H-space X to be a loop space, in terms of higher homotopy operations taking values in . These depend on first algebraically “delooping” the Π-algebras , using the H-space structure on X, and then trying to realize the delooped Π-algebra.
Minimal Models of Loop spaces and suspensions.