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October 2019 Degree formulas for the Euler characteristic of semialgebraic sets
Julie LAPÉBIE
Hokkaido Math. J. 48(3): 461-473 (October 2019). DOI: 10.14492/hokmj/1573722013

Abstract

We are interested in computing alternate sums of Euler characteristics of some particular semialgebraic sets, intersections of an algebraic one, smooth or with finitely many singularities, with sets given by just one polynomial inequality. We state theorems relating these alternate sums of characteristics to some topological degrees at infinity of polynomial mappings.

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Julie LAPÉBIE. "Degree formulas for the Euler characteristic of semialgebraic sets." Hokkaido Math. J. 48 (3) 461 - 473, October 2019. https://doi.org/10.14492/hokmj/1573722013

Information

Published: October 2019
First available in Project Euclid: 14 November 2019

zbMATH: 07145325
MathSciNet: MR4031247
Digital Object Identifier: 10.14492/hokmj/1573722013

Subjects:
Primary: 14P10, 14P25, 58K05

Rights: Copyright © 2019 Hokkaido University, Department of Mathematics

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Vol.48 • No. 3 • October 2019
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