Poincaré-Hopf theorem for singular analytic varieties (The Marie-Hélène Schwartz ideas in the Lipschitz framework)

DOI10.4064/BC128-2MaRDI QIDQ6621123

Tadeusz Mostowski, Nguyen Thi Bich Thuy, Jean-Paul Brasselet

Publication date: 17 October 2024

zbMATH Keywords

Euler-Poincaré characteristicstratificationsPoincaré-Hopf theoremsemi-analytic setsLipschitz stratificationsMarie-Hélène Schwartz radial vector fields

Mathematics Subject Classification ID

Singularities of vector fields, topological aspects (58K45) Stratifications in topological manifolds (57N80)

Cites Work

• Lipschitz properties of semi-analytic sets
• Stratifications de Whitney et théorème de Bertini-Sard
• Lipschitz stratifications in power-bounded \(o\)-minimal fields
• Marie-Hélène Schwartz and radial vector fields, a mathematical course
• Characterizations of v-sufficiency of jets
• Lipschitz stratifications in o-minimal structures
• Lipschitz stratification of subanalytic sets
• Stratification Theory
• Poincaré-Hopf theorems on singular spaces
• A generalized Poincaré index formula
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