On Euler characteristics of manifolds of singularities of wave fronts

DOI10.1007/s10688-012-0012-6zbMath1279.58019OpenAlexW1994631960MaRDI QIDQ366055

Vyacheslav D. Sedykh

Publication date: 11 September 2013

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10688-012-0012-6

zbMATH Keywords

Euler characteristicwave frontLegrende mappingsingularities of types \(A,D\) and \(E\)

Mathematics Subject Classification ID

Singularities of differentiable mappings in differential topology (57R45) Topological properties of mappings on manifolds (58K15)

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COMBINED ALGORITHMS FOR CONSTRUCTING A SOLUTION TO THE TIME–OPTIMAL PROBLEM IN THREE-DIMENSIONAL SPACE BASED ON THE SELECTION OF EXTREME POINTS OF THE SCATTERING SURFACE ⋮ On the structure of the singular set of solutions in one class of 3D time-optimal control problems

Cites Work

• Adjacency indices for singularities of wave fronts in low dimensional spaces
• Resolution of corank 1 singularities of a generic front
• A complete system of linear relations between the Euler characteristics of manifolds of corank 1 singularities of a generic front

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