Ends of Maps, II.
-variétés topologiques et -microfibrés
Hopfian and strongly hopfian manifolds
Let p: M → B be a proper surjective map defined on an (n+2)-manifold such that each point-preimage is a copy of a hopfian n-manifold. Then we show that p is an approximate fibration over some dense open subset O of the mod 2 continuity set C’ and C’ ∖ O is locally finite. As an application, we show that a hopfian n-manifold N is a codimension-2 fibrator if χ(N) ≠ 0 or
Les voisinages ouverts réguliers
Microfibrés et fibrés associés à certaines immersions
On 4-manifolds and span-related numbers for cat manifolds.
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 Topological Span
Tangential homotopy equivalences.
The Relationship between Homology and Topological Manifolds via Homology Transversaltiy
Transversality Theories at Dimension Four.