Stable homotopy and generalised homology

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Stable homotopy and generalised homology / J.F. Adams

資料種別:: 図書
出版情報:: Chicago : University of Chicago Press, 1974
形態:: x, 373 p. ; 21 cm
シリーズ名:: Chicago lectures in mathematics <BA01034941>
著者名:: Adams, J. Frank (John Frank) <DA03144211>
ISBN:: 9780226005232 [0226005232] (: clothbound)
9780226005249 [0226005240] (: paperbound)
書誌ID:: BA02944533

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注記:

Includes bibliographies

主題:

Cobordism theory; Homology theory; Homotopy theory

言語:

英語

目次情報:

Preface

S.P. Novikov's Work on Operations on Complex Cobordism / Pt. I：

Cobordism groups / 2：

Homology / 3：

The Conner-Floyd Chern classes / 4：

The Novikov operations / 5：

The algebra of all operations / 6：

Scholium on Novikov's exposition / 7：

Complex manifolds / 8：

Quillen's Work on Formal Groups and Complex Cobordism / Pt. II：

Formal groups / 1：

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 / 9：

Various formulae in [pi][subscript *](MU) / 10：

MU[subscript *](MU) / 11：

Behaviour of the Bott map / 12：

K[subscript *](K) / 13：

The Hattori-Stong theorem / 14：

Quillen's idempotent cohomology operations / 15：

The Brown-Peterson spectrum / 16：

KO[subscript *](KO) / 17：

Stable Homotopy and Generalised Homology / Pt. III：

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)

Preface

S.P. Novikov's Work on Operations on Complex Cobordism / Pt. I：

Cobordism groups / 2：

Homology / 3：

The Conner-Floyd Chern classes / 4：

The Novikov operations / 5：

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