A three-dimensional spheroidal space which is not a sphere
A topological collapse number for all spaces
A unique factorization theorem for countable products of circles
A universal bound for surfaces in 3-manifolds with a given Heegaard genus.
A universal class of 4-colored graphs.
A vanishing theorem for twisted Alexander polynomials with applications to symplectic 4-manifolds
In this paper we show that given any 3-manifold and any non-fibered class in there exists a representation such that the corresponding twisted Alexander polynomial is zero. We obtain this result by extending earlier work of ours and by combining this with recent results of Agol and Wise on separability of 3-manifold groups. This result allows us to completely classify symplectic 4-manifolds with a free circle action, and to determine their symplectic cones.
A volume-preserving counterexample to the Seifert conjecture.
A wild Cantor set in with simply connected complement
A wildly embedded 1-dimensional compact set in each of whose components is tame
About a problem of Ulam concerning flat sections of manifolds.
About neighborhoods of surfaces integrally unknotted in
About some infinite family of 2-bridge knots and 3-manifolds.
Absolute retracts as factors of normed linear spaces
Absolute Z-sets
Accessibility and the Schoenflies theorem
Actions de groupes finis sur : la conjecture de P. A. Smith
Actions of discrete groups on nonpositively curved spaces.
Actions of on some surface-bundles over
Addendum and correction to: “Homology cylinders: an enlargement of the mapping class group”.
Affine group acting on hyperspaces of compact convex subsets of ℝⁿ
For every n ≥ 2, let cc(ℝⁿ) denote the hyperspace of all nonempty compact convex subsets of the Euclidean space ℝⁿ endowed with the Hausdorff metric topology. Let cb(ℝⁿ) be the subset of cc(ℝⁿ) consisting of all compact convex bodies. In this paper we discover several fundamental properties of the natural action of the affine group Aff(n) on cb(ℝⁿ). We prove that the space E(n) of all n-dimensional ellipsoids is an Aff(n)-equivariant retract of cb(ℝⁿ). This is applied to show that cb(ℝⁿ) is homeomorphic...