Stable Homotopy and Generalised Homology
384 pages

51/4 x 8

© 1974
Contents
Preface
Pt. I: S.P. Novikov's Work on Operations on Complex Cobordism
2: Cobordism groups
3: Homology
4: The ConnerFloyd Chern classes
5: The Novikov operations
6: The algebra of all operations
7: Scholium on Novikov's exposition
8: Complex manifolds
Pt. II: Quillen's Work on Formal Groups and Complex Cobordism
1: Formal groups
2: Examples from algebraic topology
3: Reformulation
4: Calculations in Ehomology and cohomology
5: Lazard's universal ring
6: More calculations in Ehomology
7: The structure of Lazard's universal ring L
8: Quillen's theorem
9: Corollaries
10: Various formulae in [pi][subscript *](MU)
11: MU[subscript *](MU)
12: Behaviour of the Bott map
13: K[subscript *](K)
14: The HattoriStong theorem
15: Quillen's idempotent cohomology operations
16: The BrownPeterson spectrum
17: KO[subscript *](KO)
Pt. III: Stable Homotopy and Generalised Homology
2: Spectra
3: Elementary properties of the category of CWspectra
4: Smash products
5: SpanierWhitehead duality
6: Homology and cohomology
7: The AtiyahHirzebruch spectral sequence
8: The inverse limit and its derived functors
9: Products
10: Duality in manifolds
11: Applications in Ktheory
12: The Steenrod algebra and its dual
13: A universal coefficient theorem
14: A category of fractions
15: The Adams spectral sequence
16: Applications to [pi][subscript *](bu[actual symbol not
reproducible]X): modules over K[x, y]
17: Structure of [pi][subscript *](bu[actual symbol not
reproducible]bu)~
Pt. I: S.P. Novikov's Work on Operations on Complex Cobordism
2: Cobordism groups
3: Homology
4: The ConnerFloyd Chern classes
5: The Novikov operations
6: The algebra of all operations
7: Scholium on Novikov's exposition
8: Complex manifolds
Pt. II: Quillen's Work on Formal Groups and Complex Cobordism
1: Formal groups
2: Examples from algebraic topology
3: Reformulation
4: Calculations in Ehomology and cohomology
5: Lazard's universal ring
6: More calculations in Ehomology
7: The structure of Lazard's universal ring L
8: Quillen's theorem
9: Corollaries
10: Various formulae in [pi][subscript *](MU)
11: MU[subscript *](MU)
12: Behaviour of the Bott map
13: K[subscript *](K)
14: The HattoriStong theorem
15: Quillen's idempotent cohomology operations
16: The BrownPeterson spectrum
17: KO[subscript *](KO)
Pt. III: Stable Homotopy and Generalised Homology
2: Spectra
3: Elementary properties of the category of CWspectra
4: Smash products
5: SpanierWhitehead duality
6: Homology and cohomology
7: The AtiyahHirzebruch spectral sequence
8: The inverse limit and its derived functors
9: Products
10: Duality in manifolds
11: Applications in Ktheory
12: The Steenrod algebra and its dual
13: A universal coefficient theorem
14: A category of fractions
15: The Adams spectral sequence
16: Applications to [pi][subscript *](bu[actual symbol not
reproducible]X): modules over K[x, y]
17: Structure of [pi][subscript *](bu[actual symbol not
reproducible]bu)~
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