Calculating bifurcation invariants as elements of the homotopy of the general linear group. II

DOI10.1016/0022-4049(80)90079-1zbMath0458.58007OpenAlexW4213069873MaRDI QIDQ1151651

James C. Alexander

Publication date: 1980

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(80)90079-1

zbMATH Keywords

multiparameter bifurcation of operatorsstable homotopy groups of the general linear group

Mathematics Subject Classification ID

Variational problems in abstract bifurcation theory in infinite-dimensional spaces (58E07) (J)-morphism (55Q50) Stable homotopy of spheres (55Q45)

Cites Work

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• 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
• Calculating bifurcation invariants as elements in the homotopy of the general linear group
• Bifurcation theory for Fredholm operators
• Global Bifurcations of Periodic Orbits

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