Alexander invariant for perturbations of Fredholm operators

DOI10.1016/j.na.2011.07.014zbMath1233.47056OpenAlexW2041617384WikidataQ96744809 ScholiaQ96744809MaRDI QIDQ642555

Wojciech Kryszewski, Dororta Gabor

Publication date: 27 October 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2011.07.014

zbMATH Keywords

homotopy groupFredholm operatorhomotopy classcoincidence indexbifurcation theoryset-valued maphomotopy invariant

Mathematics Subject Classification ID

Homotopy equivalences in algebraic topology (55P10) Set-valued operators (47H04) Degree theory for nonlinear operators (47H11) Abstract bifurcation theory involving nonlinear operators (47J15) Homotopy groups of special spaces (55Q52) Homotopy groups of spheres (55Q40)

Related Items (3)

Approximate controllability of differential inclusions in Hilbert spaces ⋮ A global bifurcation index for set-valued perturbations of Fredholm operators ⋮ On two-parameter global bifurcation of periodic solutions to a class of differential variational inequalities

Cites Work

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• A global bifurcation index for set-valued perturbations of Fredholm operators
• The homotopy of certain spaces of nonlinear operators, and its relation to global bifurcation of the fixed points of parametrized condensing operators
• Bifurcation of zeros of parametrized functions
• The fixed-point index for the class of compositions of acyclic set-valued maps on ANR-s
• Infinite dimensional cohomology theories
• Systems of inclusions involving Fredholm operators of nonnegative index and nonconvex-valued maps
• A global index for bifurcation of fixed points.
• Bifurcation theory for Fredholm operators
• Algebraic topology methods in the theory of compact fields in Banach spaces
• Topological Fixed Point Theory of Multivalued Mappings

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