Geodesic
Spaces of polynomials with roots of bounded multiplicity
Fundamenta Mathematicae, Tome 161 (1999) no. 1, pp. 93-117.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We describe an alternative approach to some results of Vassiliev ([Va1]) on spaces of polynomials, by applying the "scanning method" used by Segal ([Se2]) in his investigation of spaces of rational functions. We explain how these two approaches are related by the Smale-Hirsch Principle or the h-Principle of Gromov. We obtain several generalizations, which may be of interest in their own right.
DOI : 10.4064/fm-161-1-2-93-117

M. A. Guest 1 ; A. Kozlowski 1 ; K. Yamaguchi 1

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M. A. Guest; A. Kozlowski; K. Yamaguchi. Spaces of polynomials with roots of bounded multiplicity. Fundamenta Mathematicae, Tome 161 (1999) no. 1, pp. 93-117. doi : 10.4064/fm-161-1-2-93-117. http://geodesic.mathdoc.fr/articles/10.4064/fm-161-1-2-93-117/

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