Adams Memorial Symposium on Algebraic Topology

doi:10.1017/CBO9780511526305

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.

- Aa Reduce text
- Aa Enlarge text

View selected items
Save to my bookmarks
Export citations
Download PDF (zip)
Save to Kindle
Save to Dropbox
Save to Google Drive
Save content to
To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to .

To save content items to your Kindle, first ensure no-reply@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

Please be advised that item(s) you selected are not available.
You are about to save
Your Kindle email address

Please provide your Kindle email.

@free.kindle.com @kindle.com (service fees apply)

By using this service, you agree that you will only keep content for personal use, and will not openly distribute them via Dropbox, Google Drive or other file sharing services

Contents

Frontmatter
pp i-iv
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

Contents
pp v-vi
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

Preface
pp vii-viii
- By Nigel Ray, Grant Walker
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

Contents of Volume 2
pp ix-xxiii
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

1 - The work of J. F. Adams
pp 1-28
- By J. P. May
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

2 - Twisted tensor products of DGA's and the Adams-Hilton model for the total space of a fibration
pp 29-52
- By Kathryn P. Hess
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

3 - Hochschild homology, cyclic homology and the cobar construction
pp 53-66
- By J. D. S. Jones, J. McCleary, University of Warwick and Vassar College To the memory of J. F. Adams
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

4 - Hermitian A∞ rings and their K-theory
pp 67-82
- By Z. Fiedorowicz, R. Schwänzl, R. Vogt
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

5 - A splitting result for the second homology group of the general linear group
pp 83-88
- By Dominique Arlettaz
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

6 - Low dimensional spinor representations, Adams maps and geometric dimension
pp 89-102
- By K.Y. Lam, D. Randall
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

7 - The characteristic classes for the exceptional Lie groups
pp 103-130
- By Mamoru Mimura
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

8 - How can you tell two spaces apart when they have the same n-type for all n?
pp 131-144
- By C.A. McGibbon, J.M. Møler
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

9 - A generalized Grothendieck spectral sequence
pp 145-162
- By David Blanc, Northwestern University, Christopher Stover, University of Chicago
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

10 - Localization of the homotopy set of the axes of pairings
pp 163-178
- By Nobuyuki Oda, Department of Applied Mathematics, Faculty of Science, Fukuoka University, 8-19-1, Nanakuma, Jonanku, Fukuoka, 814-01, Japan
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

11 - Fibrewise reduced product spaces
pp 179-186
- By I.M. James
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

12 - Computing homotopy types using crossed n-cubes of groups
pp 187-210
- By Ronald Brown, Dedicated to the memory of Frank Adams
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

13 - On orthogonal pairs in categories and localization
pp 211-224
- By Carles Casacuberta, Georg Peschke, Markus Pfenniger
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

14 - A note on extensions of nilpotent groups
pp 225-234
- By Carles Casacuberta, Peter Hilton, Dedicated to the memory of Frank Adams, close friend and inspiring teacher
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

15 - On the Swan subgroup of metacyclic groups
pp 235-240
- By Victor P. Snaith
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

16 - Fields of spaces
pp 241-254
- By M. C. Crabb, J. R. Hubbuck, Kai Xu
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

17 - Maps between p-completed classifying spaces, III
pp 255-270
- By Zdzisław Wojtkowiak, Dedicated to the memory of Professor J. Frank Adams.
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

18 - Retracts of classifying spaces
pp 271-280
- By Kenshi Ishiguro
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

19 - On the dimension theory of dominant summands
pp 281-292
- By John Martino, Stewart Priddy
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation

Metrics

Altmetric attention score

Total number of HTML views: 0

Total number of PDF views: 0 *

Loading metrics...

Total views: 0 *

Loading metrics...

* Views captured on Cambridge Core between #date#. This data will be updated every 24 hours.

Usage data cannot currently be displayed.

Why this information is here

This section outlines the accessibility features of this content - including support for screen readers, full keyboard navigation and high-contrast display options. This may not be relevant for you.

Accessibility Information

Accessibility compliance for the PDF of this book is currently unknown and may be updated in the future.

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.

Book description

Refine List

Actions for selected content:

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

Metrics

Altmetric attention score

Full text views

Book summary page views

Accessibility standard: Unknown

Why this information is here

Accessibility Information

Adams Memorial Symposium on Algebraic Topology

Book description

Refine List

Actions for selected content:

Save Search

Contents

Metrics

Altmetric attention score

Full text views

Book summary page views

Accessibility standard: Unknown

Why this information is here

Accessibility Information