A01=John Milnor
Ambient isotopy
Author_John Milnor
Basis (linear algebra)
Bounded set (topological vector space)
Category=PBM
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
eq_isMigrated=0
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Equivalence class
Equivalence relation
Existence theorem
Existential quantification
Exponential map (Lie theory)
Exponential map (Riemannian geometry)
Function (mathematics)
Fundamental group
Generalized Poincare conjecture
H-cobordism
Hessian matrix
Homotopy
Hyperbolic function
Identity matrix
Implicit function theorem
Inclusion map
Infimum and supremum
Integral curve
Intersection (set theory)
Intersection number
Intersection number (graph 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
Product details
- ISBN 9780691273723
- Dimensions: 156 x 235mm
- Publication Date: 25 Mar 2025
- Publisher: Princeton University Press
- Publication City/Country: US
- Product Form: Paperback
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Important lectures on differential topology by acclaimed mathematician John Milnor
These 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.
John Milnor is one of the most distinguished mathematicians of our time, and has been awarded the Fields Medal, the Wolf Prize, the Abel Prize, and all three Steele prizes. He is a Distinguished Professor of Mathematics at Stony Brook University. He previously taught at Princeton University and was on the faculty of the Institute for Advanced Study in Princeton.
