Service interruption on Monday 11 July from 12:30 to 13:00: all the sites of the CCSD (HAL, Epiciences, SciencesConf, AureHAL) will be inaccessible (network hardware connection).
Skip to Main content Skip to Navigation
Journal articles

On the topology of non-isolated real singularities

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 Lê-Iomdine formula. We have also included some results of the same flavor on the local topology of locally closed definable sets.
Complete list of metadata

Cited literature [38 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-01985272
Contributor : Nicolas Dutertre Connect in order to contact the contributor
Submitted on : Thursday, January 17, 2019 - 5:52:56 PM
Last modification on : Wednesday, November 3, 2021 - 9:18:32 AM

Files

NonIsolatedRealSing.pdf
Files produced by the author(s)

Identifiers

Collections

Citation

Nicolas Dutertre. On the topology of non-isolated real singularities. Journal of Singularities, Worldwide Center of Mathematics, LLC, 2020, Proc. of 15th International Workshop on Singularities, São Carlos, 2018, 22, pp.159-179. ⟨10.5427/jsing.2020.22j⟩. ⟨hal-01985272⟩

Share

Metrics

Record views

60

Files downloads

51