Topology of 4-Manifolds

Michael H. Freedman, Frank Quinn (Autoren)

Buch | Softcover

268 Seiten

2014
Princeton University Press (Verlag)
978-0-691-60289-9 (ISBN)

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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.
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*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

Erscheint lt. Verlag	14.7.2014
Reihe/Serie	Princeton Legacy Library
Verlagsort	New Jersey
Sprache	englisch
Maße	152 x 229 mm
Gewicht	369 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
ISBN-10	0-691-60289-1 / 0691602891
ISBN-13	978-0-691-60289-9 / 9780691602899
Zustand	Neuware