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Geometric Methods in Degree Theory for Equivariant Maps
Alexander M. KushkuleyZalman I. Balanov
出版Springer, 2006-11-14
主題Mathematics / TopologyMathematics / Geometry / DifferentialMathematics / Mathematical AnalysisMathematics / Geometry / GeneralMathematics / Numerical Analysis
ISBN35406872629783540687269
URLhttp://books.google.com.hk/books?id=tf16CwAAQBAJ&hl=&source=gbs_api
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註釋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.