Global structure of level sets of a class of nonlinear Fredholm mappings

DOI10.1016/0362-546X(81)90001-8zbMath0477.58006OpenAlexW1997861147MaRDI QIDQ3935166

Andrzej Szulkin

Publication date: 1981

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(81)90001-8

zbMATH Keywords

perturbed equationFredholm mappingregular valuesproper differentiable homotopy for maps between Banach manifoldstopological structure of level set

Mathematics Subject Classification ID

Critical points and critical submanifolds in differential topology (57R70) Differentiable maps on manifolds (58C25) Homotopy and topological questions for infinite-dimensional manifolds (58B05) Implicit function theorems; global Newton methods on manifolds (58C15)

Cites Work

• Bifurcation from simple eigenvalues
• On the Singularities of Nonlinear Fredholm Operators of Positive Index
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