Some applications of transversality for infinite dimensional manifolds

DOI10.15673/tmgc.v14i2.1939zbMath1479.58013arXiv2101.09208OpenAlexW3201677404MaRDI QIDQ5155848

Kaveh Eftekharinasab

Publication date: 8 October 2021

Published in: Proceedings of the International Geometry Center (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.09208

zbMATH Keywords

transversalityFrechet manifoldsdegree of nonlinear Fredholm mappings

Mathematics Subject Classification ID

Degree theory for nonlinear operators (47H11) Fredholm structures on infinite-dimensional manifolds (58B15) Variational problems in abstract bifurcation theory in infinite-dimensional spaces (58E07) General position and transversality (57N75)

Cites Work

• Unnamed Item
• A proof of the Borsuk antipodal theorem for Fredholm maps
• Instructive examples of smooth, complex differentiable and complex analytic mappings into locally convex spaces
• A metric approach to Fréchet geometry
• Sard’s theorem for mappings between Fréchet manifolds
• On Infinite Dimensional Features of Proper and Closed Mappings
• On Local definability of holomorphic functions
• Transversality and Lipschitz-Fredholm maps
• An Infinite Dimensional Version of Sard's Theorem
• Some Theorems on Fredholm Maps

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