The structure of pseudo-holomorphic subvarieties for a degenerate almost complex structure and symplectic form on .
The Stucture of Semitopological Monoids on Compact Connected Manifolds.
The Three Big Theorems of Papakyriakopoulos
The topology of deformation spaces of Kleinian groups.
The topology of the Banach–Mazur compactum
Let J(n) be the hyperspace of all centrally symmetric compact convex bodies , n ≥ 2, for which the ordinary Euclidean unit ball is the ellipsoid of maximal volume contained in A (the John ellipsoid). Let be the complement of the unique O(n)-fixed point in J(n). We prove that: (1) the Banach-Mazur compactum BM(n) is homeomorphic to the orbit space J(n)/O(n) of the natural action of the orthogonal group O(n) on J(n); (2) J(n) is an O(n)-AR; (3) is an Eilenberg-MacLane space ; (4) is noncontractible;...
The twisted products of spheres that have the fixed point property
By a twisted product of Sⁿ we mean a closed, 1-connected 2n-manifold M whose integral cohomology ring is isomorphic to that of Sⁿ × Sⁿ, n ≥ 3. We list all such spaces that have the fixed point property.
The virtual cohomological dimension of the mapping class group of an orientable surface.
The virtual Haken conjecture: Experiments and examples.
The volume spectrum of hyperbolic 4-manifolds.
The Wecken property of the projective plane
A proof is given of the fact that the real projective plane has the Wecken property, i.e. for every selfmap , the minimum number of fixed points among all selfmaps homotopic to f is equal to the Nielsen number N(f) of f.
The Whitehead link, the Borromean rings and the knot 946 are universal.
A link L in S3 is universal if every closed, orientable 3-manifold is a covering of S3 branched over L. Thurston [1] proved that universal links exist and he asked if there is a universal knot, and also if the Whitehead link and the Figure-eight knot are universal. In [2], [3] we answered the first question by constructing a universal knot. The purpose of this paper is to prove that the Whitehead link and the Borromean rings, among others, are universal. The question about the Figure-eight knot...
The Yang-Mills equations and the topology of 4-manifolds
Theorem on the union of two topologically flat cells of codimension 1 in .
Thin presentation of knots and lens spaces.
Three-Dimensional Poincaré Duality Groups Which Are Extensions.
Three-manifolds and the Temperley-Lieb algebra.
Three-manifolds having complexity at most 9.
Tight Polyhedral Klein Bottles, Projective Planes, and Möbius Bands.
Tight Topological Embeddings of the Real Projective Plane in E5.
Tightness and efficiency of irreducible automorphisms of handlebodies.