Some consequences of transversality in infinite dimensions

DOI10.1016/S0019-3577(01)80030-6zbMath1039.58007OpenAlexW2066732754MaRDI QIDQ1602606

Ioannis Andreadis, Fernand Pelletier, Spyros N. Pnevmatikos

Publication date: 23 June 2002

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0019-3577(01)80030-6

zbMATH Keywords

transversalityFredholm stratifications

Mathematics Subject Classification ID

Fredholm structures on infinite-dimensional manifolds (58B15) Manifolds of mappings (58D15)

Cites Work

• Approximation de fonctions différentiables sur certains espaces de Banach
• Structures symplectiques singulières génériques
• Manifolds, tensor analysis, and applications.
• Fredholm quadratic sections
• Fredholm symplectic structures
• On the singularities of quadratic forms
• Abnormal sub-Riemannian geodesics: Morse index and rigidity
• Stability of \(C^ \infty\) mappings. I: The division theorem
• La stratification naturelle des espaces de fonctions différentiables réelles et le théorème de la pseudo-isotopie
• Morse theory on Hilbert manifolds
• Singularités régularisables des équations d'Euler-Lagrange sur une variété hilbertienne
• Seminar on Atiyah-Singer Index Theorem. (AM-57)
• An Infinite Dimensional Version of Sard's Theorem
• Gauge fields with generic singularities
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