# 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

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topGuest, 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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