Abstract
Fibrators help detect approximate fibrations. A closed, connected n-manifold N is called a codimension-2 fibrator if each map p : M → B defined on an (n + 2)-manifold M such that all fibre p-1 (b), b ∈ D, are shape equivalent to N is an approximate fibration. The most natural objects N to study are s-Hopfian manifolds. In this note we give some necessary and sufficient conditions for s-Hopfian manifolds to be codimension-2 fibrators.
| Original language | English |
|---|---|
| Pages (from-to) | 2135-2140 |
| Number of pages | 6 |
| Journal | Proceedings of the American Mathematical Society |
| Volume | 129 |
| Issue number | 7 |
| State | Published - 2001 |
Keywords
- Approximate fibration
- Codimension-2 fibrator
- Hopfian group
- S-hopfian manifold