On infinite-dimensional manifolds
On inverse limits of (2k+m+1)-disk bundle maps
On iterated torus knots and transversal knots.
On linked Jordan curves in
On locally -incomparable families of infinite-dimensional Cantor manifolds
The notion of locally -incomparable families of compacta was introduced by K. Borsuk [KB]. In this paper we shall construct uncountable locally -incomparable families of different types of finite-dimensional Cantor manifolds.
On low dimensional S-cobordisms.
On malnormal peripheral subgroups of the fundamental group of a -manifold
Let be a non-trivial knot in the -sphere, its exterior, its group, and its peripheral subgroup. We show that is malnormal in , namely that for any with , unless is in one of the following three classes: torus knots, cable knots, and composite knots; these are exactly the classes for which there exist annuli in attached to which are not boundary parallel (Theorem 1 and Corollary 2). More generally, we characterise malnormal peripheral subgroups in the fundamental group of a...
On manifold spines and cyclic presentations of groups
This is a survey of results and open problems on compact 3-manifolds which admit spines corresponding to cyclic presentations of groups. We also discuss questions concerning spines of knot manifolds and regular neighborhoods of homotopically PL embedded compacta in 3-manifolds.
On manifolds diffeomorphic on the complement of a point
We prove that four manifolds diffeomorphic on the complement of a point have the same Donaldson invariants.
On manifolds homeomorphic to ...P2#8... .
On manifolds homotopy equivalent to the total spaces of -bundles over
We calculate the structure sets in the sense of surgery theory of total spaces of bundles over eight-dimensional sphere with fibre a seven-dimensional sphere, in which manifolds homotopy equivalent to the total spaces are organized, and we investigate the question, which of the elements in these structure sets can be realized as such bundles.
On Manifolds Representing Homology Classes in Codimension 2.
On manifolds with nonhomogeneous factors
We present simple examples of finite-dimensional connected homogeneous spaces (they are actually topological manifolds) with nonhomogeneous and nonrigid factors. In particular, we give an elementary solution of an old problem in general topology concerning homogeneous spaces.
On maximal fibred submanifolds of a knot exterior.
On McMullen's and other inequalities for the Thurston norm of link complements.
On non-parallel -structures.
On non-separating simple closed curves in a compact surface.
On normal stratified pseudomanifolds.
On periodic homeomorphisms of spheres.
On planarity of graphs in 3-manifolds.