Generalized Higher Order Cohomology Operations Induced by the Diagonal Mapping.
Generalized universal covering spaces and the shape group
If a paracompact Hausdorff space X admits a (classical) universal covering space, then the natural homomorphism φ: π₁(X) → π̌₁(X) from the fundamental group to its first shape homotopy group is an isomorphism. We present a partial converse to this result: a path-connected topological space X admits a generalized universal covering space if φ: π₁(X) → π̌₁(X) is injective. This generalized notion of universal covering p: X̃ → X enjoys most of the usual properties, with the possible exception of evenly...
Geometric interpretations of the generalized Hopf invariant.
Geometric proof of the easy part of the Hopf invariant one theorem
Geometry of normed bilinear maps and the 16-square problem.
Gradient otopies of gradient local maps
We introduce various classes of local maps: gradient, gradient-like, proper etc. We prove Parusiński's theorem for otopy classes of gradient local maps.
Group Extensions and Principal Fibrations.
Groupoids and crossed objects in algebraic topology.
Groupoids, stability cokernel sequences and duality
Gruppen von Homotopieklassen von Abbildungen in Produkte von Eilenberg-Maclane-Räumen.
Gruppi di allacciamento : una generalizzazione funtoriale dell'invariante di Hopf
Higher homotopy groupoids and Toda brackets.
Hindernisse in dem Produkt von Suspensionen.
Höhere Whitehead Produkte der zwei dimensionalen Sphäre
Homology and homotopy groups of the complement of certain family of fibers in a critical point problem.
Homology Equivalences and a Technique of Ganea.
Homomorphic images and rationalizations based on the Eilenberg-MacLane spaces
Are there any kinds of self maps on the loop structure whose induced homomorphic images are the Lie brackets in tensor algebra? We will give an answer to this question by defining a self map of , and then by computing efficiently some self maps. We also study the topological rationalization properties of the suspension of the Eilenberg-MacLane spaces. These results will be playing a powerful role in the computation of the same -type problems and giving us an information about the rational homotopy...
Homomorphism between Homotopy groups induced by elements of the sobolev space L1, p (M, N).
Homotopie de l'espace des équivalences d'homotopie fibrées
On construit une suite spectrale qui converge vers le bigradué associé à une filtration convenable des groupes d’homotopie du monoïde simplicial des équivalences d’homotopie fibrées d’un fibré de Kan dans lui-même. On obtient de nouveaux calculs de ces groupes. En particulier, on calcule le groupe des classes d’homotopie des équivalences d’homotopie d’un espace ayant trois groupes d’homotopie non nuls en dessous de sa dimension.
Homotopie des espaces de concordances