On the Euler characteristic of fibres of real polynomial maps

• Autorzy: Adam Parusiński , Zbigniew Szafraniec
• Języki publikacji: EN

Abstrakty

EN

Let Y be a real algebraic subset of $𝑹^m$ and $F:Y → 𝑹^n$ be a polynomial map. We show that there exist real polynomial functions $g_1, ..., g_s$ on $𝑹^n$ such that the Euler characteristic of fibres of $F$ is the sum of signs of $g_i$.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 1998
• Tom: 44
• Numer: 1
• Strony: 175-182

Daty

wydano

1998

Twórcy

autor

Adam Parusiński

• Departement de Mathématiques, Université d'Angers, 2, bd. Lavoisier, 49045 Angers Cedex 01, France

autor

Zbigniew Szafraniec

• Institute of Mathematics, University of Gdańsk, Wita Stwosza 57, 80-952 Gdańsk, Poland

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