Adams Memorial Symposium on Algebraic Topology

doi:10.1017/CBO9780511526305

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Volume 1
Edited by Nigel Ray, University of Manchester, Grant Walker, University of Manchester

Publisher:: Cambridge University Press
Online publication date:: January 2010
Print publication year:: 1992
Online ISBN:: 9780511526305
DOI:: https://doi.org/10.1017/CBO9780511526305

Subjects:: Mathematics (general), Mathematics, Geometry and Topology
Series:: London Mathematical Society Lecture Note Series (175)

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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 towards stable homotopy theory, the Steenrod algebra and the Adams spectral sequence.

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Adams Memorial Symposium on Algebraic Topology

This Book has been cited by the following publications. This list is generated based on data provided by Crossref.

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Contents

Frontmatter
pp i-iv

Contents
pp v-vi

Preface
pp vii-viii

Contents of Volume 2
pp ix-xxiii

1 - The work of J. F. Adams
pp 1-28

2 - Twisted tensor products of DGA's and the Adams-Hilton model for the total space of a fibration
pp 29-52

3 - Hochschild homology, cyclic homology and the cobar construction
pp 53-66

4 - Hermitian A∞ rings and their K-theory
pp 67-82

5 - A splitting result for the second homology group of the general linear group
pp 83-88

6 - Low dimensional spinor representations, Adams maps and geometric dimension
pp 89-102

7 - The characteristic classes for the exceptional Lie groups
pp 103-130

8 - How can you tell two spaces apart when they have the same n-type for all n?
pp 131-144

9 - A generalized Grothendieck spectral sequence
pp 145-162

10 - Localization of the homotopy set of the axes of pairings
pp 163-178

11 - Fibrewise reduced product spaces
pp 179-186

12 - Computing homotopy types using crossed n-cubes of groups
pp 187-210

13 - On orthogonal pairs in categories and localization
pp 211-224

14 - A note on extensions of nilpotent groups
pp 225-234

15 - On the Swan subgroup of metacyclic groups
pp 235-240

16 - Fields of spaces
pp 241-254

17 - Maps between p-completed classifying spaces, III
pp 255-270

18 - Retracts of classifying spaces
pp 271-280

19 - On the dimension theory of dominant summands
pp 281-292

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Adams Memorial Symposium on Algebraic Topology

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