Alexander M. Kushkuley, Zalman I. Balanov

Geometric Methods in Degree Theory for Equivariant Maps (eBook, PDF)

• Format: PDF

Produktbeschreibung

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.

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Produktdetails

• Verlag: Springer Berlin Heidelberg
• Seitenzahl: 142
• Erscheinungstermin: 14. November 2006
• Englisch
• ISBN-13: 9783540687269
• Artikelnr.: 53099043

Inhaltsangabe

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.