Geometric Methods in Degree Theory for Equivariant Maps

✍ Scribed by Alexander Kushkuley, Zalman Balanov (auth.)

• Book ID: 127398652
• Publisher: Springer
• Year: 1996
• Tongue: English
• Weight: 882 KB
• Edition: 1
• Category: Library
• City: Berlin; New York
• ISBN: 3540687262
• ISSN: 0075-8434
• DOI: 10.1007/BFb0092822

✦ Synopsis

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.

✦ Subjects

Global Analysis and Analysis on Manifolds