Geometric methods in degree theory for equivariant maps
著者
書誌事項
Geometric methods in degree theory for equivariant maps
（Lecture notes in mathematics, 1632）
Springer, c1996
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注記
Includes bibliographical references (p. [126]-134) and subject index
内容説明・目次
内容説明
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.
目次
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.
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