Freedman / Quinn Topology of 4-Manifolds

Course Book
ISBN: 978-1-4008-6106-4
Verlag: De Gruyter
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 268 Seiten

Reihe: Princeton Legacy Library

One 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 the International Congress of Mathematicians to Freedman in 1986. In Topology of 4-Manifolds these authors have collaborated to give a complete and accessible account of the current state of knowledge in this field. The basic material has been considerably simplified from the original publications, and should be accessible to most graduate students. The advanced material goes well beyond the literature; nearly one-third of the book is new. This work is indispensable for any topologist whose work includes four dimensions. It is a valuable reference for geometers and physicists who need an awareness of the topological side of the field.

Originally published in 1990.

The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Autoren/Hrsg.

Freedman, Michael H.

Quinn, Frank

Fachgebiete

• Mathematik | Informatik Mathematik Topologie

Inhaltsverzeichnis

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