The Selected Works of J. Frank Adams

Volume 1

$87.99 (R)

Real Author: J. Frank Adams
Editors:
J. Peter May, University of Chicago
Charles B. Thomas, University of Cambridge

Date Published: January 2010
availability: Available
format: Paperback
isbn: 9780521110679

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Description

This selection of Adams' work in two volumes brings together all his major research contributions. They are organized by subject matter rather than in strict chronological order. The first volume contains papers on the cobar construction, the Adams spectral sequence, higher order cohomology operations, and the Hopf invariant one problem, applications of K-theory, generalized homology and cohomology theories. The second volume is mainly concerned with Adams' contributions to characteristic classes and calculations in K-theory, modules over the Steenrod algebra and their Ext groups, finite H-spaces and compact Lie groups, and maps between classifying spaces and compact groups.
- Includes Adams's finest papers
- Papers are reproduced exactly from the originals - i.e. unabridged
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Product details
- Date Published: January 2010
- format: Paperback
- isbn: 9780521110679
- length: 556 pages
- dimensions: 246 x 189 x 29 mm
- weight: 0.98kg
- availability: Available
Table of Contents
1. On the chain algebra of a loop space
2. On the cobar construction
3. The structure of the Steenrod algebra
4. On the non-existence theory of elements of Hopf invariant one
4. Applications of the Groethendieck–Atiyah–Hirzebruch functor K(X)
5. Vector fields on spheres
6. On complex Stiefel manifolds
7. On matrices whose real linear combinations are non-singular and correction
8. On the groups J(X) I, II, III, and IV and correction
9. K-theory and the Hopf invariant
10. Geometric dimension of bundles over RPn
11. Lectures on generalised cohomology
12. Algebraic topology in the last decade.
Look Inside
Author
J. Frank Adams
Editors
J. Peter May, University of Chicago
Charles B. Thomas, University of Cambridge