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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Freedman, Michael H., author. aut http://id.loc.gov/vocabulary/relators/aut Topology of 4-Manifolds (PMS-39), Volume 39 / Frank Quinn, Michael H. Freedman. Course Book Princeton, NJ : Princeton University Press, [2014] ©1990 1 online resource (268 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Princeton Mathematical Series ; 1085 Frontmatter -- Contents -- Introduction -- PART I. EMBEDDINGS OF DISKS -- CHAPTER 1. BASIC TOOLS -- CHAPTER 2. CAPPED GROPES -- CHAPTER 3. CAPPED TOWERS -- CHAPTER 4. PARAMETERIZATION OF CONVERGENT TOWERS -- CHAPTER 5. THE EMBEDDING THEOREMS -- CHAPTER 6. EMBEDDING UP TO S-COBORDISM -- PART II. APPLICATIONS TO THE STRUCTURE OF MANIFOLDS -- INTRODUCTION -- CHAPTER 7. h-COBORDISMS -- CHAPTER 8. SMOOTH STRUCTURES -- CHAPTER 9. HANDLEBODIES, NORMAL BUNDLES, AND TRANSVERSALITY -- CHAPTER 10. CLASSIFICATIONS AND EMBEDDINGS -- CHAPTER 11. SURGERY -- CHAPTER 12. LINKS, AND REFORMULATIONS OF THE EMBEDDING PROBLEM -- REFERENCES -- Index of Notation -- Index of Terminology restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star 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. Issued also in print. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 31. Jan 2022) Four-manifolds (Topology). MATHEMATICS Topology. MATHEMATICS / Topology. bisacsh 4-manifold. Ambient isotopy. Annulus theorem. Automorphism. Baire category theorem. Bilinear form. Boundary (topology). CW complex. Category of manifolds. Central series. Characterization (mathematics). Cohomology. Commutative diagram. Commutative property. Commutator subgroup. Compactification (mathematics). Conformal geometry. Connected sum. Connectivity (graph theory). Cyclic group. Diagram (category theory). Diameter. Diffeomorphism. Differentiable manifold. Differential geometry. Dimension. Disk (mathematics). Duality (mathematics). Eigenvalues and eigenvectors. Embedding problem. Embedding. Equivariant map. Fiber bundle. Four-dimensional space. Fundamental group. General position. Geometry. H-cobordism. Handlebody. Hauptvermutung. Homeomorphism. Homology (mathematics). Homology sphere. Homomorphism. Homotopy group. Homotopy sphere. Homotopy. Hurewicz theorem. Hyperbolic geometry. Hyperbolic group. Hyperbolic manifold. Identity matrix. Intermediate value theorem. Intersection (set theory). Intersection curve. Intersection form (4-manifold). Intersection number (graph theory). Intersection number. J-homomorphism. Knot theory. Lefschetz duality. Line-line intersection. Manifold. Mapping cylinder. Mathematical induction. Metric space. Metrization theorem. Module (mathematics). Normal bundle. Parametrization. Parity (mathematics). Product topology. Pullback (differential geometry). Regular homotopy. Ring homomorphism. Rotation number. Seifert-van Kampen theorem. Sesquilinear form. Set (mathematics). Simply connected space. Smooth structure. Special case. Spin structure. Submanifold. Subset. Support (mathematics). Tangent bundle. Tangent space. Tensor product. Theorem. Topological category. Topological manifold. Transversal (geometry). Transversality (mathematics). Transversality theorem. Uniqueness theorem. Unit disk. Vector bundle. Whitehead torsion. Whitney disk. Quinn, Frank, author. aut http://id.loc.gov/vocabulary/relators/aut Title is part of eBook package: De Gruyter Princeton Legacy Lib. eBook Package 1980-1999 9783110413441 Title is part of eBook package: De Gruyter Princeton Legacy Lib. eBook Package Science 9783110413595 Title is part of eBook package: De Gruyter Princeton Mathematical Series eBook Package 9783110501063 ZDB-23-PMS Title is part of eBook package: De Gruyter Princeton University Press Complete eBook-Package 2014-2015 9783110665925 Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Archive 1927-1999 9783110442496 print 9780691602899 https://doi.org/10.1515/9781400861064 https://www.degruyter.com/isbn/9781400861064 Cover https://www.degruyter.com/document/cover/isbn/9781400861064/original |
language |
English |
format |
eBook |
author |
Freedman, Michael H., Freedman, Michael H., Quinn, Frank, |
spellingShingle |
Freedman, Michael H., Freedman, Michael H., Quinn, Frank, Topology of 4-Manifolds (PMS-39), Volume 39 / Princeton Mathematical Series ; Frontmatter -- Contents -- Introduction -- PART I. EMBEDDINGS OF DISKS -- CHAPTER 1. BASIC TOOLS -- CHAPTER 2. CAPPED GROPES -- CHAPTER 3. CAPPED TOWERS -- CHAPTER 4. PARAMETERIZATION OF CONVERGENT TOWERS -- CHAPTER 5. THE EMBEDDING THEOREMS -- CHAPTER 6. EMBEDDING UP TO S-COBORDISM -- PART II. APPLICATIONS TO THE STRUCTURE OF MANIFOLDS -- INTRODUCTION -- CHAPTER 7. h-COBORDISMS -- CHAPTER 8. SMOOTH STRUCTURES -- CHAPTER 9. HANDLEBODIES, NORMAL BUNDLES, AND TRANSVERSALITY -- CHAPTER 10. CLASSIFICATIONS AND EMBEDDINGS -- CHAPTER 11. SURGERY -- CHAPTER 12. LINKS, AND REFORMULATIONS OF THE EMBEDDING PROBLEM -- REFERENCES -- Index of Notation -- Index of Terminology |
author_facet |
Freedman, Michael H., Freedman, Michael H., Quinn, Frank, Quinn, Frank, Quinn, Frank, |
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Quinn, Frank, Quinn, Frank, |
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title |
Topology of 4-Manifolds (PMS-39), Volume 39 / |
title_full |
Topology of 4-Manifolds (PMS-39), Volume 39 / Frank Quinn, Michael H. Freedman. |
title_fullStr |
Topology of 4-Manifolds (PMS-39), Volume 39 / Frank Quinn, Michael H. Freedman. |
title_full_unstemmed |
Topology of 4-Manifolds (PMS-39), Volume 39 / Frank Quinn, Michael H. Freedman. |
title_auth |
Topology of 4-Manifolds (PMS-39), Volume 39 / |
title_alt |
Frontmatter -- Contents -- Introduction -- PART I. EMBEDDINGS OF DISKS -- CHAPTER 1. BASIC TOOLS -- CHAPTER 2. CAPPED GROPES -- CHAPTER 3. CAPPED TOWERS -- CHAPTER 4. PARAMETERIZATION OF CONVERGENT TOWERS -- CHAPTER 5. THE EMBEDDING THEOREMS -- CHAPTER 6. EMBEDDING UP TO S-COBORDISM -- PART II. APPLICATIONS TO THE STRUCTURE OF MANIFOLDS -- INTRODUCTION -- CHAPTER 7. h-COBORDISMS -- CHAPTER 8. SMOOTH STRUCTURES -- CHAPTER 9. HANDLEBODIES, NORMAL BUNDLES, AND TRANSVERSALITY -- CHAPTER 10. CLASSIFICATIONS AND EMBEDDINGS -- CHAPTER 11. SURGERY -- CHAPTER 12. LINKS, AND REFORMULATIONS OF THE EMBEDDING PROBLEM -- REFERENCES -- Index of Notation -- Index of Terminology |
title_new |
Topology of 4-Manifolds (PMS-39), Volume 39 / |
title_sort |
topology of 4-manifolds (pms-39), volume 39 / |
series |
Princeton Mathematical Series ; |
series2 |
Princeton Mathematical Series ; |
publisher |
Princeton University Press, |
publishDate |
2014 |
physical |
1 online resource (268 p.) Issued also in print. |
edition |
Course Book |
contents |
Frontmatter -- Contents -- Introduction -- PART I. EMBEDDINGS OF DISKS -- CHAPTER 1. BASIC TOOLS -- CHAPTER 2. CAPPED GROPES -- CHAPTER 3. CAPPED TOWERS -- CHAPTER 4. PARAMETERIZATION OF CONVERGENT TOWERS -- CHAPTER 5. THE EMBEDDING THEOREMS -- CHAPTER 6. EMBEDDING UP TO S-COBORDISM -- PART II. APPLICATIONS TO THE STRUCTURE OF MANIFOLDS -- INTRODUCTION -- CHAPTER 7. h-COBORDISMS -- CHAPTER 8. SMOOTH STRUCTURES -- CHAPTER 9. HANDLEBODIES, NORMAL BUNDLES, AND TRANSVERSALITY -- CHAPTER 10. CLASSIFICATIONS AND EMBEDDINGS -- CHAPTER 11. SURGERY -- CHAPTER 12. LINKS, AND REFORMULATIONS OF THE EMBEDDING PROBLEM -- REFERENCES -- Index of Notation -- Index of Terminology |
isbn |
9781400861064 9783110413441 9783110413595 9783110501063 9783110665925 9783110442496 9780691602899 |
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Q - Science |
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QA613 |
callnumber-sort |
QA 3613.2 |
genre_facet |
Topology. |
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https://doi.org/10.1515/9781400861064 https://www.degruyter.com/isbn/9781400861064 https://www.degruyter.com/document/cover/isbn/9781400861064/original |
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Not Illustrated |
dewey-hundreds |
500 - Science |
dewey-tens |
510 - Mathematics |
dewey-ones |
514 - Topology |
dewey-full |
514/.3 |
dewey-sort |
3514 13 |
dewey-raw |
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dewey-search |
514/.3 |
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code="a">Metric space.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Metrization theorem.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Module (mathematics).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Normal bundle.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Parametrization.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Parity (mathematics).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Product topology.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Pullback (differential geometry).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Regular homotopy.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Ring homomorphism.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Rotation number.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Seifert-van Kampen theorem.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Sesquilinear form.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Set (mathematics).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Simply connected space.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Smooth structure.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Special case.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Spin structure.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Submanifold.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Subset.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Support (mathematics).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Tangent bundle.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Tangent space.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Tensor product.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Theorem.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Topological category.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Topological manifold.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Transversal (geometry).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Transversality (mathematics).</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Transversality theorem.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Uniqueness theorem.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Unit disk.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Vector bundle.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Whitehead torsion.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Whitney disk.</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Quinn, Frank, </subfield><subfield code="e">author.</subfield><subfield code="4">aut</subfield><subfield code="4">http://id.loc.gov/vocabulary/relators/aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Title is part of eBook package:</subfield><subfield code="d">De Gruyter</subfield><subfield code="t">Princeton Legacy Lib. eBook Package 1980-1999</subfield><subfield code="z">9783110413441</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Title 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