Contents

Chapters in this book

1. Frontmatter i
2. Preface to the Second and Third Editions vii
3. Preface to the First Edition xi
4. The Logical Dependence of the Contents xvi
5. Contents xvii
6. Chapter 1 Basic Topics and Examples 1
7. Chapter 2 The Basic Representation Theory of Compact Groups 31
8. Chapter 3 The Ideas of Peter and Weyl 51
9. Chapter 4 Characters 90
10. Chapter 5 Linear Lie Groups 111
11. Chapter 6 Compact Lie Groups 187
12. Chapter 7 Duality for Abelian Topological Groups 299
13. Chapter 8 Compact Abelian Groups 374
14. Chapter 9 The Structure of Compact Groups 452
15. Chapter 10 Compact Group Actions 548
16. Chapter 11 The Structure of Free Compact Groups 609
17. Chapter 12 Cardinal Invariants of Compact Groups 647
18. Appendix 1 Abelian Groups 669
19. Appendix 2 Covering Spaces and Groups 723
20. Appendix 3 A Primer of Category Theory 745
21. Appendix 4 Selected Results on Topology and Topological Groups 819
22. Appendix 5 Measures on Compact Groups 845
23. Appendix 6 Well-Ordered Projective Limits, Supercompactness, and Compact Homeomorphism Groups 861
24. References 867
25. Index of Symbols 885
26. Index 887