Geodesic
ON TOPOLOGICAL INVARIANTS ASSOCIATED WITH A POLYNOMIAL WITH ISOLATED CRITICAL POINTS
Glasgow mathematical journal, Tome 46 (2004) no. 2, pp. 323-334

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DOI

We consider a polynomial $f \,{:}\, \mathbb{R}^n \rightarrow \mathbb{R}$ with isolated critical points and we relate $\chi(f^{-1}(0))$ and $\chi(\{f \ge 0\})-\chi(\{f \le 0\})$ to the topological degrees of polynomial maps defined in terms of $f$.
DOI : 10.1017/S0017089504001806
Mots-clés : 14P25 
DUTERTRE, NICOLAS. ON TOPOLOGICAL INVARIANTS ASSOCIATED WITH A POLYNOMIAL WITH ISOLATED CRITICAL POINTS. Glasgow mathematical journal, Tome 46 (2004) no. 2, pp. 323-334. doi: 10.1017/S0017089504001806
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     author = {DUTERTRE, NICOLAS},
     title = {ON {TOPOLOGICAL} {INVARIANTS} {ASSOCIATED} {WITH} {A} {POLYNOMIAL} {WITH} {ISOLATED} {CRITICAL} {POINTS}},
     journal = {Glasgow mathematical journal},
     pages = {323--334},
     year = {2004},
     volume = {46},
     number = {2},
     doi = {10.1017/S0017089504001806},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089504001806/}
}
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