The Selected Works of J. Frank Adams
2 Volume Paperback Set
£72.00
 Editors:
 Charles B. Thomas
 J. Peter May
 Date Published: November 2010
 availability: Available
 format: Multiple copy pack
 isbn: 9780521182140
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Multiple copy pack
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J. Frank Adams, one of the world's leading topologists, solved a number of celebrated problems in algebraic topology, a subject in which he initiated many of the most active areas of research. His papers written between 1955 and 1988, few of which have been superseded, are characterised by elegant writing and depth of thought. These two 1992 volumes contain all his major research contributions. The first contains papers on: the cobar construction, the Adams spectral sequence, higherorder cohomology operations, and the Hopf invariant one problem, amongst other topics. The second volume is mainly concerned with Adams' contributions to: characteristic classes and calculations in Ktheory; modules over the Steenrod algebra and their Ext groups; finite Hspaces and compact Lie groups; and maps between classifying spaces of compact groups. Anyone interested in algebraic topology will want to own a copy of these volumes as a historical record and a source of reference.
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×Product details
 Date Published: November 2010
 format: Multiple copy pack
 isbn: 9780521182140
 dimensions: 250 x 320 x 70 mm
 weight: 2kg
 availability: Available
Table of Contents
Volume 1:
1. On the chain algebra of a loop space
2. On the cobar construction
3. The structure of the Steenrod algebra
4. On the nonexistence 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 nonsingular and correction
8. On the groups J(X) I, II, III, and IV and correction
9. Ktheory and the Hopf invariant
10. Geometric dimension of bundles over RPn
11. Lectures on generalised cohomology
12. Algebraic topology in the last decade. Volume 2:
1. On formulae of Thom and Wu
2. On Chern characters and the structure of the unitary group
3. Chern characters revisited and the structure of the unitary group
4. Chern characters revisited and addendum
5. The Hurewicz homomorphism for MU and BP
6. Hopf algebras of cooperators for real and complex Ktheory
7. Operations of the Nth kind in Ktheory
8. Operations on Ktheory of torsionfree spaces
9. Stable operations on complex Ktheory
10. Primitive elements in the Ktheory of BSU
11. A finiteness theorem in homological algebra
12. A periodicity theorem in homological algebra
13. Modules over the Steenrod algebra
14. SubHopfalgebras of the Steenrod algebra
15. What we don't know about RP∞
16. Calculations of Lin's Ext groups
17. The Segal conjecture for elementary abelian pgroups
18. The sphere considered as an Hspace mod p
19. Hspaces with few cells
20. Finite Hspaces and Lie groups
21. Spin(8) triality, F4 and all that
22. The fundamental representations of E8
23. 2tori in E8
Maps between classifying spaces I, II, and III
24. Maps between pcompleted classifying spaces
25. An example in homotopy theory
26. A variant of E. H. Brown's representability theorem
27. Idempotent functors in homotopy theory
28. The Kahn–Priddy theorem
29. Uniquenesss of BSO
30. Graeme Segal's Burnsides ring conjecture
31. A generalisation of the Segal conjecture
32. A generalisation of the Atiyah–Segal completion theorem
33. Atomic spaces and spectra
34. Two theorems of J. Lannes
35. The work of M. J. Hopkins.
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