Bifurcation invariants for acyclic mappings

DOI10.1016/0034-4877(92)90016-TzbMath0831.55001WikidataQ96744859 ScholiaQ96744859MaRDI QIDQ1308963

Wojciech Kryszewski, Lech Gorniewicz

Publication date: 20 February 1996

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

generalized topological degreeglobal bifurcationbifurcation indexacyclic set-valued mappings acting between spheres of different dimensions

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Degree, winding number (55M25) Fixed points and coincidences in algebraic topology (55M20) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items

On two-parameter global bifurcation of periodic solutions to a class of differential variational inequalities

Cites Work

• 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
• Borsuk's cohomotopy groups
• Subopen multifunctions and selections
• Structure and Dimension of Global Branches of Solutions to Multiparameter Nonlinear Equations
• A global index for bifurcation of fixed points.
• Homotopy, linearization, and bifurcation
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