Geometric methods in degree theory for equivariant maps /

Geometric methods in degree theory for equivariant maps /

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Bibliographic Details
Author / Creator:	Kushkuley, Alexander, 1953-
Imprint:	Berlin ; New York : Springer, ©1996.
Description:	1 online resource (136 pages).
Language:	English
Series:	Lecture notes in mathematics, 0075-8434 ; 1632 Lecture notes in mathematics (Springer-Verlag) ; 1632.
Subject:	Topological degree. Mappings (Mathematics) Homotopy theory. Homotopy theory. Mappings (Mathematics) Topological degree.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/11070482

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Other authors / contributors:	Balanov, Zalman, 1959-
ISBN:	9783540687269 3540687262 9783540615293 3540615296
Notes:	Includes bibliographical references (pages 136-134) and index. Print version record.
Summary:	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.
Other form:	Print version: Kushkuley, Alexander, 1953- Geometric methods in degree theory for equivariant maps. Berlin ; New York : Springer, ©1996 3540615296

Table of Contents:

Ch. 1. Fundamental domains and extension of equivariant maps
Ch. 2. Degree theory for equivariant maps of finite-dimensional manifolds: topological actions
Ch. 3. Degree theory for equivariant maps of finite-dimensional manifolds: smooth actions
Ch. 4. A winding number of equivariant vector fields in infinite dimensional Banach spaces
Ch. 5. Some applications.