Spaces of polynomials with roots of bounded multiplicity

Details Spaces of polynomials with roots of bounded multiplicity Spaces of polynomials with roots of bounded multiplicity

1998-07-11

arxiv.org/abs/math/9807053v1

Mathematics

Algebraic Topology

29 pages, AMS-TeX

Scientific paper

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.

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