Homotopy negligible subsets of bundles
Homotopy properties of decomposition spaces
Homotopy separators and mappings into cubes
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
Hyperbolic 4-manifolds and conformally flat 3-manifolds
Hyperbolic 4-manifolds and tesselations
Hyperbolic manifolds and special values of Dedekind zeta-functions.
Hyperbolic structure on a complement of tori in the 4-sphere.
Hyperbolic volume and mod p homology.
Hyperhopfian groups and approximate fibrations
Hyperplane complements of large type.
Hyperspaces of Finite Sets in Universal Spaces for Absolute Borel Classes
By Fin(X) (resp. ), we denote the hyperspace of all non-empty finite subsets of X (resp. consisting of at most k points) with the Vietoris topology. Let ℓ₂(τ) be the Hilbert space with weight τ and the linear span of the canonical orthonormal basis of ℓ₂(τ). It is shown that if or E is an absorbing set in ℓ₂(τ) for one of the absolute Borel classes and of weight ≤ τ (α > 0) then Fin(E) and each are homeomorphic to E. More generally, if X is a connected E-manifold then Fin(X) is homeomorphic...
Hyperspaces of infinite-dimensional compacta
Hyperspaces of Peano continua are Hubert cubes
Hyperspaces of Peano continua of euclidean spaces
If X is a space then L(X) denotes the subspace of C(X) consisting of all Peano (sub)continua. We prove that for n ≥ 3 the space is homeomorphic to , where B denotes the pseudo-boundary of the Hilbert cube Q.
Ideal triangulations of 3-manifolds II; taut and angle structures.
Ideal triangulations of hyperbolic -manifolds
Quello delle triangolazioni geodetiche ideali è un metodo molto potente per costruire strutture iperboliche complete di volume finito su 3-varietà non compatte, ma non è noto se il metodo sia applicabile in generale. È tuttavia noto che esistono triangolazioni ideali parzialmente piatte, ma l'analisi della situazione diviene più ardua sotto diversi aspetti, quando si ha a che fare con tetraedri piatti oltre che veri tetraedri. In particolare, la topologia dello spazio di identificazione può degenerare,...
Ideal Turaev-Viro invariants.
Immersed and virtually embedded -injective surfaces in graph manifolds.
Immersed Spheres in ....2 and S2 x S2.