Mapping degree and Euler characteristic

T. Fukui, A. Khovanskii

Source record

Source: Crossref

Published: Mar 1, 2006

DOI: 10.2996/kmj/1143122391

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Source abstract

Let Vδ denote a local level surface for function-germ f:(Rn+1,0) → (R,0). A mapping degree formula for difference of the Euler characteristics of Vδ $\cap$ {g ≤ 0} and Vδ $\cap$ {g ≥ 0} is given, when level surfaces of a function g:(Rn+1,0) → (R,0) are parallelizable.

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Mapping degree and Euler characteristic — Mathematical Frontier Network