English

Spaces of polynomials with roots of bounded multiplicity

Algebraic Topology 2007-05-23 v1

Abstract

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.

Keywords

Cite

@article{arxiv.math/9807053,
  title  = {Spaces of polynomials with roots of bounded multiplicity},
  author = {M. A. Guest and A. Kozlowski and K. Yamaguchi},
  journal= {arXiv preprint arXiv:math/9807053},
  year   = {2007}
}

Comments

29 pages, AMS-TeX