Quadratic maps and smooth vector-valued functions: Euler characteristics of level sets

DOI10.1007/BF01095139zbMath0727.58009OpenAlexW2075443514MaRDI QIDQ803605

R. V. Gamkrelidze, Andrei A. Agrachev

Publication date: 1991

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01095139

zbMATH Keywords

Euler characteristiccritical pointshomogeneous systems of quadratic equationsquadratic inequalitiessmooth vector-functionsvector-valued quadratic maps

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Set-valued and function-space-valued mappings on manifolds (58C06) Theory of singularities and catastrophe theory (58K99) Differentiable maps on manifolds (58C25)

Related Items (8)

Remarks on quadratic mappings ⋮ Extremal connectors for disjoint circles ⋮ Geometry and topology of proper polynomial mappings ⋮ Properties of surjective real quadratic maps ⋮ Using signature sequences to classify intersection curves of two quadrics ⋮ Topological classification of the intersection curves of two quadrics using a set of discriminants ⋮ The Dines theorem and some other properties of quadratic mappings ⋮ On two questions of optimization theory concerning quadratic mappings

Cites Work

• Unnamed Item
• Unnamed Item
• On the topology of real plane algebraic curves
• Convex Analysis

This page was built for publication: Quadratic maps and smooth vector-valued functions: Euler characteristics of level sets