Topology of the space of locally separable functions

DOI10.1016/j.topol.2021.107728zbMath1478.26011OpenAlexW3165251700MaRDI QIDQ2042092

Hassan Boualem, Robert Brouzet

Publication date: 28 July 2021

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

Full work available at URL: https://doi.org/10.1016/j.topol.2021.107728

zbMATH Keywords

Taylor expansion\(k\)-jet\(C^\infty\)-functions of \(n\) variableslocally separated functions

Mathematics Subject Classification ID

Group actions on manifolds and cell complexes in low dimensions (57M60) Implicit function theorems, Jacobians, transformations with several variables (26B10) (C^infty)-functions, quasi-analytic functions (26E10) Representation and superposition of functions (26B40)

Related Items

Generically, Arnold-Liouville systems cannot be bi-Hamiltonian

Cites Work

• Orthogonal separation of variables on manifolds with constant curvature
• Geometry of bi-Hamiltonian systems
• Completely integrable bi-Hamiltonian systems
• On differentiable functions with isolated critical points
• Morse Theory. (AM-51)
• Differential Topology
• An Introduction to Catastrophe Theory and Its Applications
• About the existence of recursion operators for completely integrable Hamiltonian systems near a Liouville torus
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