Geometric Methods in Degree Theory for Equivariant Maps / by Alexander Kushkuley, Zalman Balanov.

Format:

Book

Author/Creator:

Kushkuley, Alexander, 1953- author.

Balanov, Zalman, 1959- author.

Contributor:

SpringerLink (Online service)

Series:

Lecture Notes in Mathematics, 0075-8434 ; 1632.

Lecture Notes in Mathematics, 0075-8434 ; 1632

Language:

English

Subjects (All):

Algebraic topology.

Global differential geometry.

Global analysis (Mathematics).

Algebraic Topology.

Differential Geometry.

Global Analysis and Analysis on Manifolds.

Local Subjects:

Algebraic Topology.

Differential Geometry.

Global Analysis and Analysis on Manifolds.

Physical Description:

1 online resource (VI, 142 pages).

Contained In:

Springer eBooks

Place of Publication:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1996.

System Details:

text file PDF

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.

Contents:

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.

Other Format:

Printed edition:

ISBN:

9783540687269

Access Restriction:

Restricted for use by site license.