Preface to the Second and Third Editions

Chapters in this book

1. Frontmatter I
2. Preface to the Fifth Edition VII
3. Highlights of the Structure Theory of Compact Groups IX
4. Preface to the Fourth Edition XXII
5. Preface to the Second and Third Editions XXV
6. Preface to the First Edition XXIX
7. Contents XXXV
8. Chapter 1. Basic Topics and Examples 1
9. Chapter 2. The Basic Representation Theory of Compact Groups 31
10. Chapter 3. The Ideas of Peter & Weyl, Tannaka, Hopf, & Hochschild 51
11. Chapter 4. Characters 126
12. Chapter 5. Linear Lie Groups 147
13. Chapter 6. Compact Lie Groups 223
14. Chapter 7. Duality of Abelian Topological Groups 336
15. Chapter 8. Compact Abelian Groups 407
16. Chapter 9. The Structure of Compact Groups 491
17. Chapter 10. Compact Group Actions 587
18. Chapter 11. The Structure of Free Compact Groups 649
19. Chapter 12. Cardinal Invariants of Compact Groups 687
20. Appendix 1. Abelian Groups 711
21. Appendix 2. Covering Spaces and Groups 766
22. Appendix 3. A Primer of Category Theory 788
23. Appendix 4. Selected Results on Topology and Topological Groups 881
24. Appendix 5. Measures on Compact Groups 907
25. Appendix 6. Well-Ordered Projective Limits, Supercompactness, and Compact Homeomorphism Groups 926
26. Appendix 7. Weakly Complete Vector Spaces and Algebras 932
27. References 969
28. Index of Symbols 991
29. Index 993
30. De Gruyter Studies in Mathematics 1033