Preface; Contents; Introduction; Chapter 1 Preliminaries; 1.1 Group actions; 1.2 The fundamental cell lemma; 1.3 Equivariant maps; 1.4 Averaging; 1.5 Irreducible representations; 1.6 Extensions of G-maps; 1.7 Orthogonal maps; 1.8 Equivariant homotopy groups of spheres; 1.9 Symmetries and differential equations; 1.10 Bibliographical remarks; Chapter 2 Equivariant Degree; 2.1 Equivariant degree in finite dimension; 2.2 Properties of the equivariant degree; 2.3 Approximation of the G-degree; 2.4 Orthogonal maps; 2.5 Applications; 2.6 Operations; 2.7 Bibliographical remarks
Summary
This volume presents a 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
Bibliography
Includes bibliographical references (pages 337-358) and index
