Cargando…
Transformation groups : proceedings of the conference in the University of Newcastle upon Tyne, August 1976 /
The theory of transformation groups studies symmetries of various mathematical objects such as topological spaces, manifolds, polyhedra and function spaces. It is thus a central concept in many branches of mathematics. This volume contains 25 of the papers submitted at the conference on transformati...
| Clasificación: | Libro Electrónico |
|---|---|
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge ; New York :
Cambridge University Press,
1977.
|
| Colección: | London Mathematical Society lecture note series ;
26. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Cover; LONDON MATHEMATICAL SOCIETY LECTURE NOTE SERIES; Title; Copyright; CONTENTS; PREFACE; ACKNOWLEDGEMENTS; PART ONE; GENERATORS AND RELATIONS FOR GROUPS OF HOMEOMORPHISMS; I. RESULTS; II SURJECTIVITY OF q; III THE SET Y; IV PROOF OF THEOREMS 1 AND 2; V PROOF OF THEOREM 3; REFERENCES; AFFINE EMBEDDINGS OF REAL LIE GROUPS; INTRODUCTION; 1. SOME PRELIMINARIES; 2. AFFINE ACTIONS OF REAL LIE GROUPS IN EUCLIDIAN MANIFOLD; 3. THE VANISHING THEOREM FOR COHOMOLOGY CLASSES; 4. AFFINE IMMERSIONS AND AFFINE EMBEDDINGS OF REAL LIE GROUPS; 5. KOSZUL-VINBERG ALGEBRAS WITH RIGHT UNITS; REFERENCES
- EQUIVARIANT DIFFERENTIAL OPERATORS OF A LIE GROUP*1. INTRODUCTION; 2. THE ACTIONS OF G; 3. INVARIANT FUNCTIONS FOR TRANSITIVE ACTION; 4. DIFFERENTIAL INVARIANTS; BIBLIOGRAPHY; EQUIVARIANT REGULAR NEIGHBOURHOODS; 1. INTRODUCTION; 2. SOME DEFINITIONS; 3. AN EXISTENCE THEOREM FOR G-REGULAR NEIGHBOURHOODS; 4. LOCAL CONTRACTIBILITY OF SPACES OF GROUP ACTIONS; 5. SEMIFREE ACTIONS ON SPHERES WITH TWO FIXED POINTS; REFERENCES; CHARACTERISTIC NUMBERS AND EQUIVARIANT SPIN COBORDISM; 1. INTRODUCTION; 2. PROOF OF MAlN THEOREM; 3. CONSEQUENCES; REFERENCES; EQUIVARIANT K-THEORY AND CYCLIC SUBGROUPS
- 1. FAMILIES OF SUBGROUPS AND EQUIVARIANT COHOMOLOGY2. TOPOLOGIES IN THE REPRESENTATION RING; 3. COMPLETION OF EQUIVARIANT K-THEORY; 4. THE FAMILY OF CYCLIC SUBGROUPS; 5. COMPLETENESS AND ORBIT STRUCTURE; REFERENCES; zz/p MANIFOLDS WITH LOW DIMENSIONAL FIXED POINT SET; 1. INTRODUCTION; 2. THE GENERATORS; 3. FIXED POINT SETS AND?.; 4. ISOLATED FIXED POINTS; 5. INTEGRALITY CONDITIONS; 6. PROOF OF THE MAIN RESULT; 7. FINAL REMARK; REFERENCES; GAPS IN THE RELATIVE DEGREE OF SYMMETRY; 1. INTRODUCTION; 2. PRELIMINARIES; 3. GAPS IN FN (M)
- 4. GAPS IN THE DIMENSIONS OF THE ISOMETRY GROUPS OF THE RIEMANNIAN MANIFOLDS. References; CHARACTERS DO NOT LIE; 1. PROOF OF THEOREM 4.; 2. THEOREM 4 IMPLIES THEOREM 3.; 3. THEOREM 3 IMPLIES THEOREM 1.; 4. THEOREM 1 IMPLIES COROLLARY 2; REFERENCES; ACTIONS OF Z/2n ON S3; ABSTRACT; 1. INTRODUCTION; 2. HOMEOMORPHISMS WITH ALMOST TAME FIXED POINT SET.; 3. FREE ACTIONS OF Z/2n ON S3.; REFERENCES; PERIODIC HOMEOMORPHISMS ON NON-COMPACT 3 MANIFOLDS; ABSTRACT; 1. INTRODUCTION; 2. FIXED POINT FREE INVOLUTIONS ON R1 X T2.; 3. FIXED POINT FREE INVOLUTIONS ON R2 X S1.
- 4. FIXED POINT FREE INVOLUTIONS OF R1 X S2. REFERENCES; EQUIVARIANT FUNCTION SPACES AND EQUIVARIANT STABLE HOMOTOPY THEORY; 1. THE UNREDUCED SUSPENSION; 2. ALGEBRAIC OPERATIONS IN FG (SV,8); 3. COMPARISON OF ALGEBRAIC STRUCTURES; 4. FINAL REMARKS; REFERENCES; A PROPERTY OF A CHARACTERISTIC CLASS OF AN ORBIT FOLIATION; INTRODUCTION; 1. PRELIMINARIES; 2. CONNECTIONS IN VECTOR BUNDLES; 3. PROOF OF MAIN THEOREMS; REFERENCES; ORBIT STRUCTURE FOR LIE GROUP ACTIONS ON HIGHER COHOMOLOGY PROJECTIVE SPACES; INTRODUCTION; 1. STRUCTURE THEOREMS IN EQUIVARIANT COHOWOLOGY