A01=James D. Stasheff
A01=John Milnor
Author_James D. Stasheff
Author_John Milnor
Axiom
Basis (linear algebra)
Canonical map
Category=PBPH
Characteristic class
Charles Ehresmann
Chern class
Classifying space
Coefficient
Cohomology
Cohomology ring
Compact space
Complex manifold
Complex vector bundle
Continuous function
Coordinate space
Cross product
CW complex
De Rham cohomology
Diffeomorphism
Differentiable manifold
Differential operator
Dimension
Dimension (vector space)
Eilenberg-Steenrod axioms
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Equivalence class
Euler class
Euler number
Existence theorem
Existential quantification
Fiber bundle
Fundamental class
Fundamental group
General linear group
Grassmannian
Gysin sequence
Homology (mathematics)
Homotopy
Identity element
Interior (topology)
Isomorphism class
J-homomorphism
K-theory
Leibniz integral rule
Levi-Civita connection
Linear map
Natural number
Normal bundle
Open set
Orthogonal complement
Orthogonal group
Orthonormal basis
Polynomial
Principal ideal domain
Projection (mathematics)
Riemannian manifold
Smoothness
Special case
Steenrod algebra
Stiefel-Whitney class
Subgroup
Subset
Symmetric function
Tangent bundle
Theorem
Thom space
Topology
Unit disk
Variable (mathematics)
Vector bundle
Vector space
Product details
- ISBN 9780691081229
- Weight: 454g
- Dimensions: 152 x 235mm
- Publication Date: 21 Aug 1974
- Publisher: Princeton University Press
- Publication City/Country: US
- Product Form: Paperback
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The theory of characteristic classes provides a meeting ground for the various disciplines of differential topology, differential and algebraic geometry, cohomology, and fiber bundle theory. As such, it is a fundamental and an essential tool in the study of differentiable manifolds. In this volume, the authors provide a thorough introduction to characteristic classes, with detailed studies of Stiefel-Whitney classes, Chern classes, Pontrjagin classes, and the Euler class. Three appendices cover the basics of cohomology theory and the differential forms approach to characteristic classes, and provide an account of Bernoulli numbers. Based on lecture notes of John Milnor, which first appeared at Princeton University in 1957 and have been widely studied by graduate students of topology ever since, this published version has been completely revised and corrected.
