Spaces of polynomials with roots of bounded-multiplicity

Martin Guest, A. Kozlowski, K. Yamaguchi

Research output: Contribution to journalArticle

24 Citations (Scopus)

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
Externally publishedYes

Fingerprint

Multiplicity
H-principle
Roots
Polynomial
Rational function
Scanning
Alternatives
Generalization

ASJC Scopus subject areas

  • Algebra and Number Theory

Cite this

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

Spaces of polynomials with roots of bounded-multiplicity. / Guest, Martin; Kozlowski, A.; Yamaguchi, K.

In: Fundamenta Mathematicae, Vol. 161, No. 1-2, 2000, p. 93-117.

Research output: Contribution to journalArticle

Guest, M, Kozlowski, A & Yamaguchi, K 2000, 'Spaces of polynomials with roots of bounded-multiplicity', Fundamenta Mathematicae, vol. 161, no. 1-2, pp. 93-117.
Guest, Martin ; Kozlowski, A. ; Yamaguchi, K. / Spaces of polynomials with roots of bounded-multiplicity. In: Fundamenta Mathematicae. 2000 ; Vol. 161, No. 1-2. pp. 93-117.
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