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Stable Homotopy and Generalised Homology

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ISBN-10: 0226005240

ISBN-13: 9780226005249

Edition: 1974

Authors: J. F. Adams

List price: $44.00
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Book details

List price: $44.00
Copyright year: 1974
Publisher: University of Chicago Press
Publication date: 2/27/1995
Binding: Paperback
Pages: 384
Size: 0.53" wide x 0.82" long x 0.09" tall
Weight: 0.946
Language: English

Preface
S.P. Novikov's Work on Operations on Complex Cobordism
Cobordism groups
Homology
The Conner-Floyd Chern classes
The Novikov operations
The algebra of all operations
Scholium on Novikov's exposition
Complex manifolds
Quillen's Work on Formal Groups and Complex Cobordism
Formal groups
Examples from algebraic topology
Reformulation
Calculations in E-homology and cohomology
Lazard's universal ring
More calculations in E-homology
The structure of Lazard's universal ring L
Quillen's theorem
Corollaries
Various formulae in [pi][subscript *](MU)
MU[subscript *](MU)
Behaviour of the Bott map
K[subscript *](K)
The Hattori-Stong theorem
Quillen's idempotent cohomology operations
The Brown-Peterson spectrum
KO[subscript *](KO)
Stable Homotopy and Generalised Homology
Spectra
Elementary properties of the category of CW-spectra
Smash products
Spanier-Whitehead duality
Homology and cohomology
The Atiyah-Hirzebruch spectral sequence
The inverse limit and its derived functors
Products
Duality in manifolds
Applications in K-theory
The Steenrod algebra and its dual
A universal coefficient theorem
A category of fractions
The Adams spectral sequence
Applications to [pi][subscript *](bu[actual symbol not reproducible]X): modules over K[x, y]
Structure of [pi][subscript *](bu[actual symbol not reproducible]bu)
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