Spaces of polynomials with roots of bounded multiplicity

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We describe an alternative approach to some results of Vassiliev on spaces of polynomials, by using the scanning method which was used by Segal 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.
29 pages, AMS-TeX

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Algebraic Topology, 55P35; 58D15; 57R45

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http://salesiana.dossiersoluciones.com/handle/123456789/77144

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9807053
 http://arxiv.org/abs/math/9807053

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arXiv