Spaces of polynomials with roots of bounded-multiplicity

M. A. Guest, A. Kozlowski, K. Yamaguchi

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Abstract

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.

Original languageEnglish
Pages (from-to)93-117
Number of pages25
JournalFundamenta Mathematicae
Volume161
Issue number1-2
Publication statusPublished - 2000 Dec 1

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ASJC Scopus subject areas

  • Algebra and Number Theory

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Guest, M. A., Kozlowski, A., & Yamaguchi, K. (2000). Spaces of polynomials with roots of bounded-multiplicity. Fundamenta Mathematicae, 161(1-2), 93-117.