Quadratic mappings and configuration spaces
Volume 62 / 2003
Banach Center Publications 62 (2003), 73-86
MSC: Primary: 55R80, 58K65. Secondary: 58K05
DOI: 10.4064/bc62-0-5
Abstract
We discuss some approaches to the topological study of real quadratic mappings. Two effective methods of computing the Euler characteristics of fibers are presented which enable one to obtain comprehensive results for quadratic mappings with two-dimensional fibers. As an illustration we obtain a complete topological classification of configuration spaces of planar pentagons.
