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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc62-0-5,
author = {Gia Giorgadze},
title = {Quadratic mappings and configuration spaces},
journal = {Banach Center Publications},
volume = {60},
year = {2003},
pages = {73-86},
zbl = {1066.58020},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc62-0-5}
}
Gia Giorgadze. Quadratic mappings and configuration spaces. Banach Center Publications, Tome 60 (2003) pp. 73-86. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc62-0-5/