Homotopy properties of Hamiltonian group actions.
Homotopy sequences of fibrations
Homotopy splittings involving G and G/O.
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 transition cocycles.
Homotopy uniqueness of BG2.
Homotopy-equivariance.
Hopf mappings for complex quaternions.
Hopfian and strongly hopfian manifolds
Let p: M → B be a proper surjective map defined on an (n+2)-manifold such that each point-preimage is a copy of a hopfian n-manifold. Then we show that p is an approximate fibration over some dense open subset O of the mod 2 continuity set C’ and C’ ∖ O is locally finite. As an application, we show that a hopfian n-manifold N is a codimension-2 fibrator if χ(N) ≠ 0 or
Horizontal structures on fibre manifolds
Hybrid Reduced and Symmetric Product Spaces.
Hyperhopfian groups and approximate fibrations