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arXiv · 1901.06161

On the topology of non-isolated real singularities

Nicolas Dutertre
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Abstract

Khimshiashvili proved a topological degree formula for the Eu-ler characteristic of the Milnor fibres of a real function-germ with an isolated singularity. We give two generalizations of this result for non-isolated singularities. As corollaries we obtain an algebraic formula for the Euler characteristic of the fibres of a real weighted-homogeneous polynomial and a real version of the L{\^e}-Iomdine formula. We have also included some results of the same flavor on the local topology of locally closed definable sets.

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Nicolas Dutertre. 2019-01-18. On the topology of non-isolated real singularities. https://arxiv.org/abs/1901.06161

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