Some Theorems on Fredholm Maps

DOI10.2307/2038410zbMath0256.58001OpenAlexW4246061467MaRDI QIDQ5671408

Anthony J. Tromba

Publication date: 1972

Full work available at URL: https://doi.org/10.2307/2038410

Mathematics Subject Classification ID

Fredholm structures on infinite-dimensional manifolds (58B15) Abstract integral equations, integral equations in abstract spaces (45N05)

Related Items (9)

Nonlinear Fredholm Maps of Index Zero and Their Singularities ⋮ Surjection results for Fredholm mappings with singularities ⋮ The index bundle and bifurcation from infinity of solutions of nonlinear elliptic boundary value problems ⋮ The exponential map near conjugate points in 2D hydrodynamics ⋮ Some applications of transversality for infinite dimensional manifolds ⋮ Plateau's problem for surfaces of constant mean curvature from a global point of view ⋮ Morse theory on Banach manifolds ⋮ Homeomorphisms and Fredholm Theory for Perturbations of Nonlinear Fredholm Maps of Index Zero and of A-Proper Maps with Applications ⋮ Bifurcation of the solutions of holomorphic Fredholm equations and complex analytic graph theorems

Cites Work

• Lusternik-Schnirelman theory on Banach manifolds
• An Infinite Dimensional Version of Sard's Theorem
• Coincidence theory for infinite dimensional manifolds
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