Polynomial bound on the local Betti numbers of a real analytic germ

DOI10.5802/aif.3085zbMath1386.32010arXiv1607.02544OpenAlexW2964258046MaRDI QIDQ1687868

Lionel F. Alberti

Publication date: 4 January 2018

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.02544

zbMATH Keywords

Betti numbersgerms of real analytic setsThom-Mather theorem

Mathematics Subject Classification ID

Germs of analytic sets, local parametrization (32B10) Deformations of complex singularities; vanishing cycles (32S30) Real-analytic manifolds, real-analytic spaces (32C05)

Cites Work

• Definability and fast quantifier elimination in algebraically closed fields
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• Équisingularité réelle : nombres de Lelong et images polaires
• Équisingularité réelle II : invariants locaux et conditions de régularité
• Formule de Cauchy-Crofton pour la densité des ensembles sous-analytiques
• Lipschitz–Killing Invariants
• Notes on Topological Stability
• Varieties Defined by Quadratic Equations
• On the Betti Numbers of Real Varieties
• The (φ, k) Rectifiable Subsets of n Space
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