J. Frank Adams had a profound influence on algebraic topology, and his works continue to shape its development. The International Symposium on Algebraic Topology held in Manchester during July 1990 was dedicated to his memory, and virtually all of the world's leading experts took part. This two-volume work constitutes the proceedings of the symposium. The articles contained here range from overviews to reports of work still in progress, as well as a survey and complete bibliography of Adams' own work. These proceedings form an important compendium of current research in algebraic topology, and one that demonstrates the depth of Adams' many contributions to the subject. Here in the first volume the theme is mainly unstable homotopy theory, homological and categorical algebra. The second volume is oriented toward stable homotopy theory, the Steenrod algebra and the Adams spectral sequence.
Author(s): Nigel Ray, Grant Walker
Series: London Mathematical Society Lecture Note Series
Publisher: CUP
Year: 1992
Language: English
Pages: 316
Bibliography of J. F. Adams......Page 46
2 Twisted tensor products of DGA's and the Adams-Hilton model for the total space of a fibration......Page 53
3 Hochschild homology, cyclic homology and the cobar construction......Page 77
4 Hermitian Arings and their K-theory......Page 91
5 A splitting result for the second homology group of the general linear group......Page 107
6 Low dimensional spinor representations, Adams maps and geometric dimension......Page 113
7 The characteristic classes for the exceptional Lie groups......Page 127
8 How can you tell two spaces apart when they have the same n-type for all n?......Page 155
9 A generalized Grothendieck spectral sequence......Page 169
10 Localization of the homotopy set of the axes of pairings......Page 187
11 Fibrewise reduced product spaces......Page 203
12 Computing homotopy types using crossed n-cubes of groups......Page 211
13 On orthogonal pairs in categories and localization......Page 235
14 A note on extensions of nilpotent groups......Page 249
15 On the Swan subgroup of metacyclic groups......Page 259
16 Fields of spaces......Page 265
17 Maps between p-completed classifying spaces, III......Page 279
18 Retracts of classifying spaces......Page 295
19 On the dimension theory of dominant summands ......Page 305
