The Selected Works of J. Frank Adams
Volume 2
 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: 9780521110686
Paperback
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J. Frank Adams was one of the world's leading topologists. He solved a number of celebrated problems in algebraic topology, a subject in which he initiated many of the most active areas of research. He wrote a large number of papers during the period 1955–1988, and they are characterised by elegant writing and depth of thought. Few of them have been superseded by later work. This selection, in two volumes, brings together all his major research contributions. They are organised by subject matter rather than in strict chronological order. The first contains papers on: the cobar construction, the Adams spectral sequence, higherorder cohomology operations, and the Hopf invariant one problem; applications of Ktheory; generalised homology and cohomology theories. 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; maps between classifying spaces of compact groups. Every serious student or practitioner of algebraic topology will want to own a copy of these two volumes both as a historical record and as a source of continued reference.
Read more 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: 9780521110686
 length: 548 pages
 dimensions: 246 x 189 x 28 mm
 weight: 0.98kg
 availability: Available
Table of Contents
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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