Equivariant degree theory / Jorge Ize, Alfonso Vignoli.

Format:

Book

Author/Creator:

Ize, Jorge, 1946-

Contributor:

Vignoli, Alfonso, 1940-

Series:

Gruyter series in nonlinear analysis and applications ; 8.

De Gruyter series in nonlinear analysis and applications, 0941-813X ; 8

Language:

English

Subjects (All):

Topological degree.

Homotopy groups.

Physical Description:

1 online resource (384 p.)

Edition:

Reprint 2012

Place of Publication:

Berlin ; New York : Walter de Gruyter, 2003.

Language Note:

English

Summary:

This book presents a new degree theory for maps which commute with a group of symmetries. This degree is no longer a single integer but an element of the group of equivariant homotopy classes of maps between two spheres and depends on the orbit types of the spaces. The authors develop completely the theory and applications of this degree in a self-contained presentation starting with only elementary facts. The first chapter explains the basic tools of representation theory, homotopy theory and differential equations needed in the text. Then the degree is defined and its main abstract properties.

Contents:

Front matter

Preface

Contents

Introduction

Chapter 1. Preliminaries

Chapter 2. Equivariant Degree

Chapter 3. Equivariant Homotopy Groups of Spheres

Chapter 4. Equivariant Degree and Applications

Appendix A. Equivariant Matrices

Appendix Β. Periodic Solutions of Linear Systems

Bibliography

Index

Notes:

Description based upon print version of record.

Includes bibliographical references (p. [337]-358) and index.

ISBN:

9786612195037

9781282195035

1282195034

9783119160049

3119160040

9783110200027

3110200023

OCLC:

232160040