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 Poincaré Duality Groups of Poly-Linear Type and Their Realisations.
On some operation on sets of mappings
On the disjoint (0,N)-cells property for homogeneous ANR's
A metric space (X,ϱ) satisfies the disjoint (0,n)-cells property provided for each point x ∈ X, any map f of the n-cell into X and for each ε > 0 there exist a point y ∈ X and a map such that ϱ(x,y) < ε, and . It is proved that each homogeneous locally compact ANR of dimension >2 has the disjoint (0,2)-cells property. If dimX = n > 0, X has the disjoint (0,n-1)-cells property and X is a locally compact -space then local homologies satisfy for k < n and Hn(X,X-x) ≠ 0.
On the group of homotopy equivalences of simply connected five manifolds.
On the homotopy embeddability of complexes in Euclidean space. I. The weak thickening theorem.
On the structure of 5-dimensional Poincaré duality spaces.
Poincaré Dualität für Räume mit Normalisierung
Poincaré duality and commutative differential graded algebras
We prove that every commutative differential graded algebra whose cohomology is a simply-connected Poincaré duality algebra is quasi-isomorphic to one whose underlying algebra is simply-connected and satisfies Poincaré duality in the same dimension. This has applications in rational homotopy, giving Poincaré duality at the cochain level, which is of interest in particular in the study of configuration spaces and in string topology.
Poincaré Duality and Groups of Type (FP).
Poincaré duality and integral cycles
Poincaré duality groups of dimension two.
Poincaré duality groups of dimension two, II.
Poincaré Spaces, Their Normal Fibrations and Surgery.
Poincaré submersions.
Rational L-groups of Bieberbach groups.
Resolutions of Homology Manifolds, and the Topological Characterization of Manifolds.
Seifert Fibre Spaces and Poincaré Duality Groups.
Singularities, double points, controlled topology and chain duality.