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Geometric methods in degree theory for equivariant maps

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...

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Detalles Bibliográficos
Autores principales: Kushkuley, Alexander, Balanov, Zalman
Lenguaje:eng
Publicado: Springer 1996
Materias:
Acceso en línea:https://dx.doi.org/10.1007/BFb0092822
http://cds.cern.ch/record/1691650
Descripción
Sumario: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.