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Lectures on the h-Cobordism Theorem

John Milnor

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Princeton University Press img Link Publisher

Naturwissenschaften, Medizin, Informatik, Technik / Geometrie

Beschreibung

These lectures provide students and specialists with preliminary and valuable information from university courses and seminars in mathematics. This set gives new proof of the h-cobordism theorem that is different from the original proof presented by S. Smale.

Originally published in 1965.

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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Schlagwörter

Partition of unity, Submanifold, Tangent bundle, Integral curve, Intersection number (graph theory), Partial derivative, Topological space, Hyperbolic function, Identity matrix, Support (mathematics), Embedding, Equivalence class, Ordinary differential equation, Uniqueness theorem, Basis (linear algebra), Existence theorem, Commutative diagram, Variable (mathematics), Codimension, Existential quantification, Diffeomorphism, Vector field, Diagram (category theory), Exponential map (Riemannian geometry), Neighbourhood (mathematics), Parity (mathematics), Stiefel manifold, Transitive relation, Manifold, Smoothness, Sphere theorem (3-manifolds), Differential equation, Elementary proof, Cobordism, H-cobordism, Equivalence relation, Scalar multiplication, Universal coefficient theorem, Contractible space, Projection (mathematics), Function (mathematics), Symmetric space, Disk (mathematics), Implicit function theorem, Generalized Poincaré conjecture, Fundamental group, Infimum and supremum, Tangent space, Morse theory, Hessian matrix, Inverse function theorem, Continuous function, Simply connected space, Ambient isotopy, Theorem, Homotopy, Differentiable manifold, Bounded set (topological vector space), Exponential map (Lie theory), Polynomial, Topology, Isomorphism theorem, Corollary, Intersection number, Inclusion map, Intersection (set theory), Degeneracy (mathematics), Characterization (mathematics), Cohomology, Critical point (mathematics)