Classifying Spaces for Surgery and Corbordism of Manifolds
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A01=Ib Madsen
A01=R. James Milgram
Author_Ib Madsen
Author_R. James Milgram
Bijection
Calculation
Category=PBCH
Category=PBPD
Characteristic class
Classification theorem
Classifying space
Closed manifold
Cobordism
Coefficient
Cohomology
Commutative diagram
Commutative property
Complex projective space
Connected sum
Corollary
Cup product
Diagram (category theory)
Differentiable manifold
Disjoint union
Disk (mathematics)
Effective method
Eilenberg-Moore spectral sequence
Elaboration
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Equivalence class
Exact sequence
Exterior algebra
Fiber bundle
Fibration
Function composition
H-space
Homeomorphism
Homomorphism
Homotopy
Homotopy fiber
Homotopy group
Hopf algebra
Iterative method
Loop space
Manifold
Massey product
N-sphere
Normal bundle
Obstruction theory
Pairing
Permutation
Piecewise linear
Piecewise linear manifold
Polynomial
Prime number
Projective space
Sequence
Simply connected space
Special case
Spin structure
Steenrod algebra
Subset
Summation
Tensor product
Theorem
Topological group
Topological manifold
Topology
Total order
Product details
- ISBN 9780691082264
- Weight: 425g
- Dimensions: 152 x 229mm
- Publication Date: 21 Nov 1979
- Publisher: Princeton University Press
- Publication City/Country: US
- Product Form: Paperback
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Beginning with a general discussion of bordism, Professors Madsen and Milgram present the homotopy theory of the surgery classifying spaces and the classifying spaces for the various required bundle theories. The next part covers more recent work on the maps between these spaces and the properties of the PL and Top characteristic classes, and includes integrality theorems for topological and PL manifolds. Later chapters treat the integral cohomology of BPL and Btop. The authors conclude with a discussion of the PL and topological cobordism rings and a construction of the torsion-free generators.
