Geometric Methods in Degree Theory for Equivariant Maps
Alexander M. Kushkuley, Zalman I. Balanov - Geometric Methods in Degree Theory for Equivariant Maps
Published: 2000-03-15 | ISBN: 3540615296 | PDF + DJVU | 136 pages | 3 MB
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.