Spaces of polynomials with roots of bounded multiplicity

M. Guest; A. Kozlowski; K. Yamaguchi

Fundamenta Mathematicae (1999)

  • Volume: 161, Issue: 1-2, page 93-117
  • ISSN: 0016-2736

Abstract

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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.

How to cite

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Guest, M., Kozlowski, A., and Yamaguchi, K.. "Spaces of polynomials with roots of bounded multiplicity." Fundamenta Mathematicae 161.1-2 (1999): 93-117. <http://eudml.org/doc/212405>.

@article{Guest1999,
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.},
author = {Guest, M., Kozlowski, A., Yamaguchi, K.},
journal = {Fundamenta Mathematicae},
keywords = {discriminant; scaning method; spaces of polynomials},
language = {eng},
number = {1-2},
pages = {93-117},
title = {Spaces of polynomials with roots of bounded multiplicity},
url = {http://eudml.org/doc/212405},
volume = {161},
year = {1999},
}

TY - JOUR
AU - Guest, M.
AU - Kozlowski, A.
AU - Yamaguchi, K.
TI - Spaces of polynomials with roots of bounded multiplicity
JO - Fundamenta Mathematicae
PY - 1999
VL - 161
IS - 1-2
SP - 93
EP - 117
AB - 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.
LA - eng
KW - discriminant; scaning method; spaces of polynomials
UR - http://eudml.org/doc/212405
ER -

References

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