We prove that a proper map f : n/r-+ N" between manifolds is a Serre fibration if it has the homotopy lifting property for (m ~ n)-dimensional polyhedra, where n is close to m/2. o 1997 Elsevier Science B.V.
Duality and the Poincaré–Hopf Inequalities
✍ Scribed by M. A. Bertolim; C. Biasi; K. A. de Rezende
- Publisher
- Springer US
- Year
- 2011
- Tongue
- English
- Weight
- 248 KB
- Volume
- 177
- Category
- Article
- ISSN
- 1573-8795
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📜 SIMILAR VOLUMES
Using martingale techniques we will prove several deviation inequalities for diffusion processes in a compact Riemannian manifold and Le vy processes in euclidean space. We also deduce deviation inequalities from Poincare type inequalities in the abstract setting of Dirichlet forms. We thus obtain,
## Abstract We use Mather's finite determinacy theory and Baum‐Bott's theorem to give sharp bounds for the Poincaré‐Hopf index of a germ of homolorphic vector field with an isolated zero. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)