A+ CATEGORY SCIENTIFIC UNIT

Quadratic mappings and configuration spaces

Volume 62 / 2003

Gia Giorgadze 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.

Authors

  • Gia GiorgadzeGeorgian Academy of Sciences
    A. Razmadze Mathematical Institute
    Tbilisi 0193, Georgia
    e-mail

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