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AuthorKushkuley, Alexander. author
TitleGeometric Methods in Degree Theory for Equivariant Maps [electronic resource] / by Alexander Kushkuley, Zalman Balanov
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg, 1996
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Descript VI, 142 p. online resource


The book introduces conceptually simple geometric ideas based on the existence of fundamental domains for metric G- spaces. A list of the problems discussed includes Borsuk-Ulam type theorems for degrees of equivariant maps in finite and infinite dimensional cases, extensions of equivariant maps and equivariant homotopy classification, genus and G-category, elliptic boundary value problem, equivalence of p-group representations. The new results and geometric clarification of several known theorems presented here will make it interesting and useful for specialists in equivariant topology and its applications to non-linear analysis and representation theory


Fundamental domains and extension of equivariant maps -- Degree theory for equivariant maps of finite-dimensional manifolds: Topological actions -- Degree theory for equivariant maps of finite-dimensional manifolds: Smooth actions -- A winding number of equivariant vector fields in infinite dimensional banach spaces -- Some applications

Mathematics Global analysis (Mathematics) Manifolds (Mathematics) Differential geometry Algebraic topology Mathematics Algebraic Topology Differential Geometry Global Analysis and Analysis on Manifolds


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