Singularities, Expanders and Topology of Maps. Part 1: Homology Versus Volume in the Spaces of Cycles |
| |
Authors: | Mikhail Gromov |
| |
Institution: | 1. IHES, 25 route de Chartres, Bures sur Yvette, 91440, France
|
| |
Abstract: | We find lower bounds on the topological complexity of the critical (values) sets S(F) ì Y{\Sigma(F) \subset Y} of generic smooth maps F : X → Y, as well as on the complexity of the fibers F-1(y) ì X{F^{-1}(y) \subset X} in terms of the topology of X and Y, where the relevant topological invariants of X are often encoded in the geometry of some Riemannian metric supported by X. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|