I'm transcribing the book while i read it, so it will take a while.
- Cover
- Introduction
- Chapter 1 Vector Bundles
- 1.1 Basic definitions
- 1.2 Operations on vector bundles
- 1.3 Sub-bundles and quotient bundles
- 1.4 Vector bundles on compact spaces
- 1.5 Additional structures
- 1.6 G-bundles over G-spaces
- Chapter 2 K-Theory
- 2.1 Definitions
- 2.2 The periodicity theorem
- 2.3 K_G(X)
- 2.4 Cohomology properties of K
- 2.5 Computations of K^*(X) for some X
- 2.6 Multiplication in K^*(X, Y)
- 2.7 The Thom isomorphism
- Chapter 3 Operations
- 3.1 Exterior powers
- 3.2 The Adams operations
- 3.3 The group J(X)
- Appendix The space of Fredholm operators