Description
Book SynopsisOne of the great achievements of contemporary mathematics is the new understanding of four dimensions. Michael Freedman and Frank Quinn have been the principals in the geometric and topological development of this subject, proving the Poincar and Annulus conjectures respectively. Recognition for this work includes the award of the Fields Medal of t
Table of Contents*FrontMatter, pg. i*Contents, pg. v*Introduction, pg. 3*CHAPTER 1. BASIC TOOLS, pg. 11*CHAPTER 2. CAPPED GROPES, pg. 30*CHAPTER 3. CAPPED TOWERS, pg. 48*CHAPTER 4. PARAMETERIZATION OF CONVERGENT TOWERS, pg. 62*CHAPTER 5. THE EMBEDDING THEOREMS, pg. 85*CHAPTER 6. EMBEDDING UP TO S-COBORDISM, pg. 92*INTRODUCTION, pg. 99*CHAPTER 7. h-COBORDISMS, pg. 101*CHAPTER 8. SMOOTH STRUCTURES, pg. 114*CHAPTER 9. HANDLEBODIES, NORMAL BUNDLES, AND TRANSVERSALITY, pg. 134*CHAPTER 10. CLASSIFICATIONS AND EMBEDDINGS, pg. 161*CHAPTER 11. SURGERY, pg. 195*CHAPTER 12. LINKS, AND REFORMULATIONS OF THE EMBEDDING PROBLEM, pg. 232*REFERENCES, pg. 249*Index of Notation, pg. 257*Index of Terminology, pg. 257