Topology of 4-Manifolds (PMS-39), Volume 39 / / Frank Quinn, Michael H. Freedman.

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 thi...

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Superior document:Title is part of eBook package: De Gruyter Princeton Legacy Lib. eBook Package 1980-1999
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Place / Publishing House:Princeton, NJ : : Princeton University Press, , [2014]
©1990
Year of Publication:2014
Edition:Course Book
Language:English
Series:Princeton Mathematical Series ; 1085
Online Access:
Physical Description:1 online resource (268 p.)
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100 1 |a Freedman, Michael H.,   |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
245 1 0 |a Topology of 4-Manifolds (PMS-39), Volume 39 /  |c Frank Quinn, Michael H. Freedman. 
250 |a Course Book 
264 1 |a Princeton, NJ :   |b Princeton University Press,   |c [2014] 
264 4 |c ©1990 
300 |a 1 online resource (268 p.) 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
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490 0 |a Princeton Mathematical Series ;  |v 1085 
505 0 0 |t Frontmatter --   |t Contents --   |t Introduction --   |t PART I. EMBEDDINGS OF DISKS --   |t CHAPTER 1. BASIC TOOLS --   |t CHAPTER 2. CAPPED GROPES --   |t CHAPTER 3. CAPPED TOWERS --   |t CHAPTER 4. PARAMETERIZATION OF CONVERGENT TOWERS --   |t CHAPTER 5. THE EMBEDDING THEOREMS --   |t CHAPTER 6. EMBEDDING UP TO S-COBORDISM --   |t PART II. APPLICATIONS TO THE STRUCTURE OF MANIFOLDS --   |t INTRODUCTION --   |t CHAPTER 7. h-COBORDISMS --   |t CHAPTER 8. SMOOTH STRUCTURES --   |t CHAPTER 9. HANDLEBODIES, NORMAL BUNDLES, AND TRANSVERSALITY --   |t CHAPTER 10. CLASSIFICATIONS AND EMBEDDINGS --   |t CHAPTER 11. SURGERY --   |t CHAPTER 12. LINKS, AND REFORMULATIONS OF THE EMBEDDING PROBLEM --   |t REFERENCES --   |t Index of Notation --   |t Index of Terminology 
506 0 |a restricted access  |u http://purl.org/coar/access_right/c_16ec  |f online access with authorization  |2 star 
520 |a 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. 
530 |a Issued also in print. 
538 |a Mode of access: Internet via World Wide Web. 
546 |a In English. 
588 0 |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 31. Jan 2022) 
650 0 |a Four-manifolds (Topology). 
650 0 |a MATHEMATICS  |v Topology. 
650 7 |a MATHEMATICS / Topology.  |2 bisacsh 
653 |a 4-manifold. 
653 |a Ambient isotopy. 
653 |a Annulus theorem. 
653 |a Automorphism. 
653 |a Baire category theorem. 
653 |a Bilinear form. 
653 |a Boundary (topology). 
653 |a CW complex. 
653 |a Category of manifolds. 
653 |a Central series. 
653 |a Characterization (mathematics). 
653 |a Cohomology. 
653 |a Commutative diagram. 
653 |a Commutative property. 
653 |a Commutator subgroup. 
653 |a Compactification (mathematics). 
653 |a Conformal geometry. 
653 |a Connected sum. 
653 |a Connectivity (graph theory). 
653 |a Cyclic group. 
653 |a Diagram (category theory). 
653 |a Diameter. 
653 |a Diffeomorphism. 
653 |a Differentiable manifold. 
653 |a Differential geometry. 
653 |a Dimension. 
653 |a Disk (mathematics). 
653 |a Duality (mathematics). 
653 |a Eigenvalues and eigenvectors. 
653 |a Embedding problem. 
653 |a Embedding. 
653 |a Equivariant map. 
653 |a Fiber bundle. 
653 |a Four-dimensional space. 
653 |a Fundamental group. 
653 |a General position. 
653 |a Geometry. 
653 |a H-cobordism. 
653 |a Handlebody. 
653 |a Hauptvermutung. 
653 |a Homeomorphism. 
653 |a Homology (mathematics). 
653 |a Homology sphere. 
653 |a Homomorphism. 
653 |a Homotopy group. 
653 |a Homotopy sphere. 
653 |a Homotopy. 
653 |a Hurewicz theorem. 
653 |a Hyperbolic geometry. 
653 |a Hyperbolic group. 
653 |a Hyperbolic manifold. 
653 |a Identity matrix. 
653 |a Intermediate value theorem. 
653 |a Intersection (set theory). 
653 |a Intersection curve. 
653 |a Intersection form (4-manifold). 
653 |a Intersection number (graph theory). 
653 |a Intersection number. 
653 |a J-homomorphism. 
653 |a Knot theory. 
653 |a Lefschetz duality. 
653 |a Line-line intersection. 
653 |a Manifold. 
653 |a Mapping cylinder. 
653 |a Mathematical induction. 
653 |a Metric space. 
653 |a Metrization theorem. 
653 |a Module (mathematics). 
653 |a Normal bundle. 
653 |a Parametrization. 
653 |a Parity (mathematics). 
653 |a Product topology. 
653 |a Pullback (differential geometry). 
653 |a Regular homotopy. 
653 |a Ring homomorphism. 
653 |a Rotation number. 
653 |a Seifert-van Kampen theorem. 
653 |a Sesquilinear form. 
653 |a Set (mathematics). 
653 |a Simply connected space. 
653 |a Smooth structure. 
653 |a Special case. 
653 |a Spin structure. 
653 |a Submanifold. 
653 |a Subset. 
653 |a Support (mathematics). 
653 |a Tangent bundle. 
653 |a Tangent space. 
653 |a Tensor product. 
653 |a Theorem. 
653 |a Topological category. 
653 |a Topological manifold. 
653 |a Transversal (geometry). 
653 |a Transversality (mathematics). 
653 |a Transversality theorem. 
653 |a Uniqueness theorem. 
653 |a Unit disk. 
653 |a Vector bundle. 
653 |a Whitehead torsion. 
653 |a Whitney disk. 
700 1 |a Quinn, Frank,   |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
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773 0 8 |i Title is part of eBook package:  |d De Gruyter  |t Princeton University Press eBook-Package Archive 1927-1999  |z 9783110442496 
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