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Equivariant degree theory /
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.
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Berlin ; New York :
Walter de Gruyter,
2003.
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| Colección: | De Gruyter series in nonlinear analysis and applications ;
8. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- 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.