Homotopy splittings involving G and G/O.
Homotopy theory induced by cones.
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 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.
Homotopy uniqueness of BG2.
Homotopy-equivalent group representations.
Homotopy-equivariance.
Hopf algebra structure on topological Hochschild homology.
Hopf algebras up to homotopy and the Bockstein spectral sequence.
Hopf Structures on Stiefel Manifolds.
Hopf's extension theorem in the theory of shape
H-Spaces of Rank Two and Non-Concellation Phenomena.
Hurewicz Theorems for Pairs and Squares.
Hybrid Reduced and Symmetric Product Spaces.