Transformation groups : proceedings of the conference in the University of Newcastle upon Tyne, August 1976 / edited by Czes Kosniowski.

Format:

Book

Contributor:

Kosniowski, Czes, editor.

Series:

London Mathematical Society lecture note series ; 26.

London Mathematical Society lecture note series ; 26

Language:

English

Subjects (All):

Transformation groups--Congresses.

Transformation groups.

Topological transformation groups--Congresses.

Topological transformation groups.

Physical Description:

1 online resource (vii, 306 pages) : digital, PDF file(s).

Place of Publication:

Cambridge : Cambridge University Press, 1977.

Language Note:

English

Summary:

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 transformation groups held at the University of Newcastle upon Tyne in August 1976.

Contents:

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

2. GEOMETRIC WEIGHT SYSTEM FOR HIGHER COHOMOLOGY PROJECTIVE SPACES

Notes:

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Includes bibliographical references.

ISBN:

1-107-21542-0

1-139-10672-4

1-139-12667-9

1-139-11165-5

1-280-77602-1

1-139-12175-8

9786613686411

1-139-11384-4

1-139-11601-0

OCLC:

782875480