Homotopieäquivalenzen zwischen Produkten aus dreidimensionalen Linsenräumen
Homotopien von Untermannigfaltigkeiten mit nicht ausgearteter zweiter Fundamentalform
Homotopie-Typ hochzusammenhängender ?-Manigfaltigkeiten.
Homotopy classes of truncated resolutions.
Homotopy classification of regular sections
Homotopy Colimit of Quasi-join Diagrams
Homotopy dominations within polyhedra
We show the existence of a finite polyhedron P dominating infinitely many different homotopy types of finite polyhedra and such that there is a bound on the lengths of all strictly descending sequences of homotopy types dominated by P. This answers a question of K. Borsuk (1979) dealing with shape-theoretic notions of "capacity" and "depth" of compact metric spaces. Moreover, π₁(P) may be any given non-abelian poly-ℤ-group and dim P may be any given integer n ≥ 3.
Homotopy Equivaleces of Almost Smooth Manifolds
Homotopy properties of decomposition spaces
Homotopy representability of Brauer groups.
The purpose of this paper is to present certain facts and results showing a way through which simplicial homotopy theory can be used in the study of Auslander-Goldman-Brauer groups of Azumaya algebras over commutative rings.
Homotopy Triangulations of Pseudo Lens Spaces and Actions on Products of Spheres.
Homotopy type of symplectomorphism groups of .
Homotopy type of total loop spaces
Homotopy types of one-dimensional Peano continua
Let X and Y be one-dimensional Peano continua. If the fundamental groups of X and Y are isomorphic, then X and Y are homotopy equivalent. Every homomorphism from the fundamental group of X to that of Y is a composition of a homomorphism induced from a continuous map and a base point change isomorphism.
Homotopy types of orbit spaces and their self-equivalences for the periodic groups and .
Homotopy types of subspace arrangements via diagrams of spaces.
H-Spaces of Rank Two and Non-Concellation Phenomena.