Homotopy properties of decomposition spaces
Homotopy properties of Hamiltonian group actions.
Homotopy properties of loop spaces
Homotopy properties of pathwise connected continua
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 separators and mappings into cubes
Homotopy sequences of fibrations
Homotopy splittings involving G and G/O.
Homotopy theory for (braided) cat-groups
Homotopy theory induced by cones.
Homotopy theory of Hopf Galois extensions
We introduce the concept of homotopy equivalence for Hopf Galois extensions and make a systematic study of it. As an application we determine all -Galois extensions up to homotopy equivalence in the case when is a Drinfeld-Jimbo quantum group.
Homotopy theory of the master equation package applied to algebra and geometry: a sketch of two interlocking programs
Using the algebraic theory of homotopies between maps of dga's we obtain a homotopy theory for algebraic structures defined by collections of multiplications and comultiplications. This is done by expressing these structures and resolved versions of them in terms of dga maps. This same homotopy theory of dga maps applies to extract invariants beyond homological periods from systems of moduli spaces that determine systems of chains that satisfy master equations like dX + X*X = 0. Minimal models of...
Homotopy transition cocycles.
Homotopy Triangulations of Pseudo Lens Spaces and Actions on Products of Spheres.
Homotopy type of automorphism groups of manifolds
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.