Lectures on the h-Cobordism Theorem (eBook)

John Milnor (Autor)

eBook Download: EPUB

2025
136 Seiten
Princeton University Press (Verlag)
978-0-691-27371-6 (ISBN)

Infos

Important lectures on differential topology by acclaimed mathematician John MilnorThese are notes from lectures that John Milnor delivered as a seminar on differential topology in 1963 at Princeton University. These lectures give a new proof of the h-cobordism theorem that is different from the original proof presented by Stephen Smale. Milnor's goal was to provide a fully rigorous proof in terms of Morse functions. This book remains an important resource in the application of Morse theory.

Produkt-Details

• Erscheint lt. Verlag: 25.3.2025
• Reihe/Serie: Princeton Legacy Library
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
• Schlagworte: Ambient isotopy • Basis (linear algebra) • Bounded set (topological vector space) • Characterization (mathematics) • Cobordism • Codimension • cohomology • Commutative diagram • continuous function • Contractible space • corollary • Critical point (mathematics) • Degeneracy (mathematics) • Diagram (category theory) • diffeomorphism • differentiable manifold • differential equation • Disk (mathematics) • Elementary proof • Embedding • equivalence class • equivalence relation • existence theorem • existential quantification • Exponential map (Lie theory) • Exponential map (Riemannian geometry) • Function (mathematics) • fundamental group • Generalized Poincaré conjecture • h-cobordism • Hessian Matrix • Homotopy • Hyperbolic function • Identity matrix • implicit function theorem • Inclusion map • Infimum and supremum • Integral curve • intersection number • Intersection number (graph theory) • Intersection (set theory) • inverse function theorem • Isomorphism Theorem • manifold • Morse Theory • Neighbourhood (mathematics) • ordinary differential equation • Parity (mathematics) • partial derivative • partition of unity • polynomial • Projection (mathematics) • scalar multiplication • Simply connected space • Smoothness • Sphere theorem (3-manifolds) • stiefel manifold • submanifold • Support (mathematics) • symmetric space • tangent bundle • Tangent Space • Theorem • Topological space • Topology • Transitive relation • uniqueness theorem • Universal Coefficient Theorem • Variable (mathematics) • Vector field
• ISBN-10: 0-691-27371-5 / 0691273715
• ISBN-13: 978-0-691-27371-6 / 9780691273716