Homology theory in the AST III. Comparison with homology theories of Čech and Vietoris
The isomorphism between our homology functor and these of Vietoris and Čech is proved. Introductory result on dimension is proved.
Homology with equationally compact coefficients
Homology with models
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).
Homotopical dynamics.
Homotopical interpretation of globular complex by multipointed d-space.
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
Homotopie des foncteurs en groupes.
Homotopie in homogenen komplexen Mannigfaltigkeiten.
Homotopie rationnelle et croissance du nombre de géodésiques fermées
Homotopieäquivalenzen zwischen Produkten aus dreidimensionalen Linsenräumen
Homotopiegruppen von Hyperflächenschnitten.
Homotopien von Untermannigfaltigkeiten mit nicht ausgearteter zweiter Fundamentalform
Homotopies of small categories
Homotopie-Typ hochzusammenhängender ?-Manigfaltigkeiten.
Homotopy 2-regular mappings whose inverses are open 3-cells
Homotopy actions, cyclic maps and their duals.
Homotopy and homology groups of the n-dimensional Hawaiian earring
For the n-dimensional Hawaiian earring n ≥ 2, and is trivial for each 1 ≤ i ≤ n - 1. Let CX be the cone over a space X and CX ∨ CY be the one-point union with two points of the base spaces X and Y being identified to a point. Then for n ≥ 1.