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Topology of Lie Groups, I and II
About this Title
Mamoru Mimura, Okayama University, Okayama, Japan and Hirosi Toda, Kyoto University, Kyoto, Japan
Publication: Translations of Mathematical Monographs
Publication Year:
1991; Volume 91
ISBNs: 978-0-8218-1342-3 (print); 978-1-4704-4503-4 (online)
DOI: https://doi.org/10.1090/mmono/091
MathSciNet review: MR1122592
MSC: Primary 55-02; Secondary 22-02, 55P99, 57T20, 57T25
Table of Contents
Front/Back Matter
Topology of Lie Groups, I
- In Place of a Proper Preface
- Chapter 1. Classical groups
- Chapter 2. Covering spaces and fibre bundles
- Chapter 3. Cohomology groups of classical groups and their homogeneous spaces
- Chapter 4. The periodicity of $K\mathbf F$-groups and the homotopy groups
- Postscript
Topology of Lie Groups, II
- Preface
- Chapter 5. Compact Lie groups
- Chapter 6. The Bott-Morse theory
- Chapter 7. Cohomology of exceptional groups
- Postscript