Front Cover

pp.：  1 – 4

Some Applications of Topological K-Theory

pp.：  4 – 5

Copyright Page

pp.：  5 – 8

Preface

pp.：  6 – 12

Table of Contents

pp.：  8 – 6

Chapter 0. A Review of K - Theory

pp.：  12 – 24

Chapter 1. The Hopf Invariant

pp.：  24 – 54

Chapter 2. Torsion Free H – Spaces of Rank Two

pp.：  54 – 92

Chapter 3. Homotopy and Stably Complex Structure

pp.：  92 – 104

Chapter 4. Vector Fields on Spheres

pp.：  104 – 150

Chapter 5. Span of Spherical Forms

pp.：  150 – 188

Chapter 6. Immersions and Embeddings of Manifolds

pp.：  188 – 236

Chapter 7. Group Homomorphisms and Maps Between Classifying Spaces; Vector Bundles Over Suspensions

pp.：  236 – 250

Chapter 8. On the Index Theorem of Elliptic Operators

pp.：  250 – 306

Bibliography

pp.：  306 – 326

Index

pp.：  326 – 330