Spaces of polynomials with roots of bounded multiplicity

• Autorzy: M. A. Guest , A. Kozlowski , K. Yamaguchi
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 55P35: Loop spaces
• 57R45: Singularities of differentiable mappings
• 58D15: Manifolds of mappings

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 1999
• Tom: 161
• Numer: 1-2
• Strony: 93-117

Daty

wydano

1999

otrzymano

1997-12-14

poprawiono

1999-03-11

Twórcy

autor

M. A. Guest

• Department of Mathematics, University of Rochester, Rochester, NY 14627
• Department of Mathematics, Tokyo Metropolitan University, Minami-Ohsawa 1-1, Hachioji-shi, Tokyo 192-0397, Japan

autor

A. Kozlowski

• Department of Mathematics, Toyama International University, Kaminikawa, Toyama 930-1262, Japan

autor

K. Yamaguchi

• Department of Mathematics, The University of Electro-Communications, Chofu, Tokyo 182-8585, Japan

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