Homotopy nilpotent Lie groups have no torsion in homology.
Homotopy properties of decomposition spaces
Homotopy representations of finite groups
Homotopy separators and mappings into cubes
Homotopy theory and circle actions on symplectic manifolds
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 types of locally linear representation forms.
Homotopy uniqueness of BG2.
Homotopy-equivariance.
Hopf algebra structure on topological Hochschild homology.
Hopf algebras up to homotopy and the Bockstein spectral sequence.
Hopf diagrams and quantum invariants.
Hopf Structures on Stiefel Manifolds.
Hopf structures on the Borel subalgebra of
Hopf-bifurcation in systems with spherical symmetry. I: Invariant tori.
Hopfian and co-Hopfian objects.
The aim of the present paper is to study Hopfian and Co-Hopfian objects in categories like the category of rings, the module categories A-mod and mod-A for any ring A. Using Stone's representation theorem any Boolean ring can be regarded as the ring A of clopen subsets of compact Hausdorff totally disconnected space X. It turns out that the Boolean ring A will be Hopfian (resp. co-Hopfian) if and only if the space X is co-Hopfian (resp. Hopfian) in the category Top. For any compact Hausdorff space...
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 forms of Chern type on complex Finsler bundles.