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