The Selected Works of J. Frank Adams
The Selected Works of J. Frank Adams
Volume 1:
January 2010
1
Available
Paperback
9780521110679
$87.99
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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
Product details
January 2010Paperback
9780521110679
556 pages
246 × 189 × 29 mm
0.98kg
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.
