Chapter 1. Basic Topics and Examples

Chapters in this book

1. Frontmatter i
2. Preface to the Fourth Edition vii
3. Preface to the Second and Third Editions x
4. Preface to the First Edition xiv
5. The Logical Dependence of the Contents xix
6. Contents xxi
7. Chapter 1. Basic Topics and Examples 1
8. Chapter 2. The Basic Representation Theory of Compact Groups 31
9. Chapter 3. The Ideas of Peter and Weyl 51
10. Chapter 4. Characters 126
11. Chapter 5. Linear Lie Groups 147
12. Chapter 6. Compact Lie Groups 223
13. Chapter 7. Duality of Abelian Topological Groups 336
14. Chapter 8. Compact Abelian Groups 407
15. Chapter 9. The Structure of Compact Groups 486
16. Chapter 10. Compact Group Actions 582
17. Chapter 11. The Structure of Free Compact Groups 644
18. Chapter 12. Cardinal Invariants of Compact Groups 682
19. Appendix 1. Abelian Groups 706
20. Appendix 2. Covering Spaces and Groups 761
21. Appendix 3. A Primer of Category Theory 783
22. Appendix 4. Selected Results on Topology and Topological Groups 864
23. Appendix 5. Measures on Compact Groups 890
24. Appendix 6. Well-Ordered Projective Limits, Supercompactness, and Compact Homeomorphism Groups 909
25. Appendix 7. Weakly Complete Vector Spaces and Algebras 915
26. References 945
27. Index of Symbols 965
28. Index 968