Leseprobe
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Topology of 4-Manifolds (PMS-39), Volume 39
Michael H. Freedman, Frank Quinn
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Naturwissenschaften, Medizin, Informatik, Technik / Mathematik
Beschreibung
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.
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Hurewicz theorem, Commutative property, Transversality theorem, Homology sphere, Tangent bundle, Vector bundle, Homotopy, Pullback (differential geometry), 4-manifold, H-cobordism, Whitney disk, Embedding, Manifold, Cohomology, J-homomorphism, Disk (mathematics), Parity (mathematics), Central series, Identity matrix, Differentiable manifold, Topological manifold, Category of manifolds, Dimension, Annulus theorem, Diameter, Embedding problem, Fundamental group, Hyperbolic manifold, Intersection number (graph theory), Theorem, Ambient isotopy, Commutator subgroup, Characterization (mathematics), Support (mathematics), Handlebody, Compactification (mathematics), Unit disk, Homotopy group, Submanifold, Metric space, Topological category, Transversality (mathematics), Transversal (geometry), Diagram (category theory), Homomorphism, Baire category theorem, Duality (mathematics), Homotopy sphere, Homology (mathematics), Intersection (set theory), Mathematical induction, Lefschetz duality, Connected sum, Fiber bundle, Product topology, Hyperbolic geometry, Normal bundle, Set (mathematics), Regular homotopy, Smooth structure, Automorphism, Mapping cylinder, Boundary (topology), Homeomorphism, Intersection form (4-manifold), Ring homomorphism, Cyclic group, Commutative diagram, Rotation number, Seifert–van Kampen theorem