Geometric methods in degree theory for equivariant maps

DOI10.1007/BFb0092822zbMath0860.55001OpenAlexW1581144219MaRDI QIDQ1922109

Alexander Kushkuley, Zalman Balanov

Publication date: 15 September 1996

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bfb0092822

zbMATH Keywords

topological groupBrouwer degreeequivariant mapsboundary value problemfree actionequivariant extension problem

Mathematics Subject Classification ID

Degree, winding number (55M25) Fixed-point theorems on manifolds (58C30) Research exposition (monographs, survey articles) pertaining to algebraic topology (55-02)

Related Items (24)

Taylor--Couette problem and related topics ⋮ Scalar curvature equation on \(S^n\). II: Analytic characterizations ⋮ Multiple solutions to symmetric boundary value problems for second order ODEs: equivariant degree approach ⋮ Periodic solutions to reversible second order autonomous systems with commensurate delays ⋮ Multiple solutions to implicit symmetric boundary value problems for second order ordinary differential equations (ODEs): Equivariant degree approach ⋮ The coloured Tverberg theorem, extensions and new results ⋮ Fixed points in absolutely irreducible real representations. ⋮ Topology of the Grünbaum–Hadwiger–Ramos hyperplane mass partition problem ⋮ Bifurcations of nonconstant solutions of the Ginzburg-Landau equation ⋮ Hopf bifurcation in symmetric networks of coupled oscillators with hysteresis ⋮ Borsuk-Ulam theorems for products of spheres and Stiefel manifolds revisited ⋮ A short treatise on the equivariant degree theory and its applications ⋮ Global bifurcations of critical orbits of \(G\)-invariant strongly indefinite functionals ⋮ Global Bifurcation of Periodic Solutions in Symmetric Reversible Second Order Systems with Delays ⋮ Sliding Hopf bifurcation in interval systems ⋮ A Hopf type classification theorem for isovariant maps from free \(G\)-manifolds to representation spheres ⋮ Chessboard complexes indomitable ⋮ The ideal-valued index for a dihedral group action, and mass partition by two hyperplanes ⋮ Bourgin--Yang-type theorem for \(a\)-compact perturbations of closed operators. I: The case of index theories with dimension property ⋮ Making equivariant maps fixed point free ⋮ On algebraic problems behind the Brouwer degree of equivariant maps ⋮ Periodic solutions to reversible second order autonomous DDEs in prescribed symmetric nonconvex domains ⋮ Symmetric Hopf bifurcation in implicit neutral functional differential equations: equivariant degree approach ⋮ Unbounded sets of solutions of non-cooperative elliptic systems on spheres

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