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Topology of Real Singularities

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Singularities and Foliations. Geometry, Topology and Applications (NBMS 2015, BMMS 2015)

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 222))

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Abstract

In this mini-course, we study the topology of real singularities. After recalling basic notions and classical results of differential topology, we present formulas for topological invariants of semi-analytic or semi-algebraic sets due to several authors.

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Authors and Affiliations

  1. CNRS, Centrale Marseille, Aix Marseille Université, Marseille, France

    Nicolas Dutertre

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  1. Nicolas Dutertre
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Correspondence to Nicolas Dutertre .

Editor information

Editors and Affiliations

  1. ICMC, University of São Paulo, São Carlos, São Paulo, Brazil

    Raimundo Nonato Araújo dos Santos

  2. Department of Mathematics, Federal University of Paraíba, João Pessoa, Paraíba, Brazil

    Aurélio Menegon Neto

  3. Mathematics Institute, University of Warwick, Coventry, United Kingdom

    David Mond

  4. ICMC, University of São Paulo, São Carlos, São Paulo, Brazil

    Marcelo J. Saia

  5. Instituto de Matemáticas, Unidad Cuernavaca, Universidad Nacional Autónoma de México, Cuernavaca, Morelos, Mexico

    Jawad Snoussi

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Dutertre, N. (2018). Topology of Real Singularities. In: Araújo dos Santos, R., Menegon Neto, A., Mond, D., Saia, M., Snoussi, J. (eds) Singularities and Foliations. Geometry, Topology and Applications. NBMS BMMS 2015 2015. Springer Proceedings in Mathematics & Statistics, vol 222. Springer, Cham. https://doi.org/10.1007/978-3-319-73639-6_2

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