On the Euler characteristic of fibres of real polynomial maps

Parusiński, Adam; Szafraniec, Zbigniew

Banach Center Publications, Tome 43 (1998), p. 175-182 / Harvested from The Polish Digital Mathematics Library

Résumé

Let Y be a real algebraic subset of $^{m}$ and $F : Y \to^{n}$ be a polynomial map. We show that there exist real polynomial functions $g_{1}, . . ., g_{s}$ on $^{n}$ such that the Euler characteristic of fibres of $F$ is the sum of signs of $g_{i}$ .

Publié le : 1998-01-01

Zbl 0915.14032

EUDML-ID : urn:eudml:doc:208880

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     author = {Parusi\'nski, Adam and Szafraniec, Zbigniew},
     title = {On the Euler characteristic of fibres of real polynomial maps},
     journal = {Banach Center Publications},
     volume = {43},
     year = {1998},
     pages = {175-182},
     zbl = {0915.14032},
     language = {en},
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Parusiński, Adam; Szafraniec, Zbigniew. On the Euler characteristic of fibres of real polynomial maps. Banach Center Publications, Tome 43 (1998) pp. 175-182. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-bcpv44i1p175bwm/

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