A countable dense homogeneous space with a dense rigid open subspace
We show that there is a Polish space which is countable dense homogeneous but contains a dense open rigid connected subset. This answers several questions of Fitzpatrick and Zhou.
A criterion for homeomorphism between closed Haken manifolds.
A criterion for the noncellularity of arcs
A decomposition into homeomorphic handlebodies with naturally equivalent involutions.
A decomposition theorem for h-cobordant smooth simply-connected compact 4-manifolds.
A filtration of the set of integral homological 3-spheres.
A finite graphic calculus for 3-manifolds.
A gauge-field approach to 3- and 4-manifold invariants
An approach to construction of topological invariants of the Reshetikhin-Turaev-Witten type of 3- and 4-dimensional manifolds in the framework of SU(2) Chern-Simons gauge theory and its hidden (quantum) gauge symmetry is presented.
A general approximation theorem for Hilbert cube manifolds
A generalized bridge number for links in 3-manifolds.
A geometric invariant of discrete groups.
A Group with Torsion-Free 2-Divisible Homology and Cappell's Result on the Novikov Conjecture.
A Hilbert cube compactification of the space of retractions of the interval
A homological selection theorem implying a division theorem for Q-manifolds
We prove that a space M with Disjoint Disk Property is a Q-manifold if and only if M × X is a Q-manifold for some C-space X. This implies that the product M × I² of a space M with the disk is a Q-manifold if and only if M × X is a Q-manifold for some C-space X. The proof of these theorems exploits the homological characterization of Q-manifolds due to Daverman and Walsh, combined with the existence of G-stable points in C-spaces. To establish the existence of such points we prove (and afterward...
A homotopy theoretic characterization of the translation in
A lantern lemma.
A LIP Immersion of Lipschitz Manifolds Modelled on Some Banach Spaces
A locally connected non-movable continuum that fails to separate
A mapping theorem for infinite-dimensional manifolds and its generalizations
A mapping theorem for topological sigma-compact manifolds