Edited by Nigel Ray
Edited by Grant Walker
Publisher: Cambridge University Press
Print Publication Year: 1992
Online Publication Date:January 2010
Online ISBN:9780511526305
Paperback ISBN:9780521420747
Chapter DOI: http://dx.doi.org/10.1017/CBO9780511526305.003
Subjects: Geometry and topology
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The Work of J. F. Adams
I first met Frank here in Manchester in 1964, when this building was being planned. I remember from the first feeling that he was a far more impressive man than the anecdotes of his exploits had led me to expect, and a far nicer one. I also felt humbled by the sheer amount of mathematics that he knew and perhaps more so by the amount that he somehow assumed I knew. I feel a little the same way now, faced with this audience and this topic. Still, I don't want to spend much time in reminiscence. I want rather to give a quick guided tour through Frank's work, largely letting it speak for itself.
I should say that Frank's collected works are to be published in the near future by the Cambridge University Press. Like this talk, the collected works are organized by subject matter rather than by strict chronology. However, I will begin not quite at the beginning of his work with a sequence of four papers submitted between 1955 and 1958. All dates cited are dates of submission, not necessarily of appearance.
The cobar construction, the Adams spectral sequence, higher order cohomology operations, and the Hopf invariant one problem
pp. i-iv
pp. v-vi
pp. vii-viii
Contents of Volume 2 : Read PDF
pp. ix-xxiii
1 - The work of J. F. Adams : Read PDF
pp. 1-28
2 - Twisted tensor products of DGA's and the Adams-Hilton model for the total space of a fibration : Read PDF
pp. 29-52
3 - Hochschild homology, cyclic homology and the cobar construction : Read PDF
pp. 53-66
4 - Hermitian A∞ rings and their K-theory : Read PDF
pp. 67-82
5 - A splitting result for the second homology group of the general linear group : Read PDF
pp. 83-88
6 - Low dimensional spinor representations, Adams maps and geometric dimension : Read PDF
pp. 89-102
7 - The characteristic classes for the exceptional Lie groups : Read PDF
pp. 103-130
8 - How can you tell two spaces apart when they have the same n-type for all n? : Read PDF
pp. 131-144
9 - A generalized Grothendieck spectral sequence : Read PDF
pp. 145-162
10 - Localization of the homotopy set of the axes of pairings : Read PDF
pp. 163-178
11 - Fibrewise reduced product spaces : Read PDF
pp. 179-186
12 - Computing homotopy types using crossed n-cubes of groups : Read PDF
pp. 187-210
13 - On orthogonal pairs in categories and localization : Read PDF
pp. 211-224
14 - A note on extensions of nilpotent groups : Read PDF
pp. 225-234
15 - On the Swan subgroup of metacyclic groups : Read PDF
pp. 235-240
16 - Fields of spaces : Read PDF
pp. 241-254
17 - Maps between p-completed classifying spaces, III : Read PDF
pp. 255-270
18 - Retracts of classifying spaces : Read PDF
pp. 271-280
19 - On the dimension theory of dominant summands : Read PDF
pp. 281-292