Linear relations between roots of polynomials
Kurt Girstmair (1999)
Acta Arithmetica
Similarity:
Kurt Girstmair (1999)
Acta Arithmetica
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G. R. Everest, K. Győry (1997)
Acta Arithmetica
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G. Hjorth (2000)
Fundamenta Mathematicae
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Non-abelian Polish groups arising as countable products of countable groups can be tame in arbitrarily complicated ways. This contrasts with some results of Solecki who revealed a very different picture in the abelian case.
Claudia Spiro-Silverman (1995)
Acta Arithmetica
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L. Lewis Jr. (1995)
Fundamenta Mathematicae
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M. Guest, A. Kozlowski, K. Yamaguchi (1999)
Fundamenta Mathematicae
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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.