Quadratic mappings and configuration spaces

Gia Giorgadze

Banach Center Publications (2003)

  • Volume: 62, Issue: 1, page 73-86
  • ISSN: 0137-6934

Abstract

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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.

How to cite

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Gia Giorgadze. "Quadratic mappings and configuration spaces." Banach Center Publications 62.1 (2003): 73-86. <http://eudml.org/doc/281853>.

@article{GiaGiorgadze2003,
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.},
author = {Gia Giorgadze},
journal = {Banach Center Publications},
keywords = {quadratic mappings; Euler characteristic},
language = {eng},
number = {1},
pages = {73-86},
title = {Quadratic mappings and configuration spaces},
url = {http://eudml.org/doc/281853},
volume = {62},
year = {2003},
}

TY - JOUR
AU - Gia Giorgadze
TI - Quadratic mappings and configuration spaces
JO - Banach Center Publications
PY - 2003
VL - 62
IS - 1
SP - 73
EP - 86
AB - 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.
LA - eng
KW - quadratic mappings; Euler characteristic
UR - http://eudml.org/doc/281853
ER -

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