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ON TOPOLOGICAL INVARIANTS ASSOCIATED WITH A POLYNOMIAL WITH ISOLATED CRITICAL POINTS
Published online by Cambridge University Press: 19 May 2004
Abstract
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 $f$.
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- Research Article
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- 2004 Glasgow Mathematical Journal Trust
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