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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.
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 -