Book contents
- Frontmatter
- Contents
- Preface
- Contents of Volume 2
- 1 The work of J. F. Adams
- 2 Twisted tensor products of DGA's and the Adams-Hilton model for the total space of a fibration
- 3 Hochschild homology, cyclic homology and the cobar construction
- 4 Hermitian A∞ rings and their K-theory
- 5 A splitting result for the second homology group of the general linear group
- 6 Low dimensional spinor representations, Adams maps and geometric dimension
- 7 The characteristic classes for the exceptional Lie groups
- 8 How can you tell two spaces apart when they have the same n-type for all n?
- 9 A generalized Grothendieck spectral sequence
- 10 Localization of the homotopy set of the axes of pairings
- 11 Fibrewise reduced product spaces
- 12 Computing homotopy types using crossed n-cubes of groups
- 13 On orthogonal pairs in categories and localization
- 14 A note on extensions of nilpotent groups
- 15 On the Swan subgroup of metacyclic groups
- 16 Fields of spaces
- 17 Maps between p-completed classifying spaces, III
- 18 Retracts of classifying spaces
- 19 On the dimension theory of dominant summands
1 - The work of J. F. Adams
Published online by Cambridge University Press: 29 January 2010
- Frontmatter
- Contents
- Preface
- Contents of Volume 2
- 1 The work of J. F. Adams
- 2 Twisted tensor products of DGA's and the Adams-Hilton model for the total space of a fibration
- 3 Hochschild homology, cyclic homology and the cobar construction
- 4 Hermitian A∞ rings and their K-theory
- 5 A splitting result for the second homology group of the general linear group
- 6 Low dimensional spinor representations, Adams maps and geometric dimension
- 7 The characteristic classes for the exceptional Lie groups
- 8 How can you tell two spaces apart when they have the same n-type for all n?
- 9 A generalized Grothendieck spectral sequence
- 10 Localization of the homotopy set of the axes of pairings
- 11 Fibrewise reduced product spaces
- 12 Computing homotopy types using crossed n-cubes of groups
- 13 On orthogonal pairs in categories and localization
- 14 A note on extensions of nilpotent groups
- 15 On the Swan subgroup of metacyclic groups
- 16 Fields of spaces
- 17 Maps between p-completed classifying spaces, III
- 18 Retracts of classifying spaces
- 19 On the dimension theory of dominant summands
Summary
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
On the chain algebra of a loop space (1955, with Peter Hilton) [5]
On the cobar construction (1956) [6]
- Type
- Chapter
- Information
- Adams Memorial Symposium on Algebraic Topology , pp. 1 - 28Publisher: Cambridge University PressPrint publication year: 1992
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