Geometric Methods in Degree Theory for Equivariant Maps (Lecture Notes in Mathematics, 1632)

Kushkuley, Alexander M.; Balanov, Zalman I.

ISBN 10: 3540615296 / ISBN 13: 9783540615293

Published by Springer, 2000

About this Item

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Seller Inventory # Q-3540615296

Bibliographic Details

• Title: Geometric Methods in Degree Theory for Equivariant Maps (Lecture Notes in Mathematics, 1632)
• Publisher: Springer
• Publication Date: 2000
• Language: English
• ISBN 10: 3540615296
• ISBN 13: 9783540615293
• Binding: paperback
• Condition: New

About this title

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.

Synopsis

This work 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 and equivalence of p-group representations.