Infinite Loop Spaces (AM-90), Volume 90 : : Hermann Weyl Lectures, The Institute for Advanced Study. (AM-90) / / John Frank Adams.
The theory of infinite loop spaces has been the center of much recent activity in algebraic topology. Frank Adams surveys this extensive work for researchers and students. Among the major topics covered are generalized cohomology theories and spectra; infinite-loop space machines in the sense of Boa...
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Superior document: | Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020 |
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Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [1978] ©1979 |
Year of Publication: | 1978 |
Language: | English |
Series: | Annals of Mathematics Studies ;
90 |
Online Access: | |
Physical Description: | 1 online resource (230 p.) |
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Other title: | Frontmatter -- PREFACE -- TABLE OF CONTENTS -- CHAPTER 1. BACKGROUND AND PRELIMINARIES -- CHAPTER 2. MACHINERY -- CHAPTER 3. LOCALIZATION AND "GROUP COMPLETION" -- CHAPTER 4. TRANSFER -- CHAPTER 5. THE ADAMS CONJECTURE -- CHAPTER 6. THE SPECIAL CASE OF K-THEORY SPECTRA; THE THEOREMS OF ADAMS-PRIDDY AND MADSEN-SNAITH-TORNEHAVE -- CHAPTER 7. THE STATE OF THE ART -- REFERENCES -- INDEX -- Backmatter |
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Summary: | The theory of infinite loop spaces has been the center of much recent activity in algebraic topology. Frank Adams surveys this extensive work for researchers and students. Among the major topics covered are generalized cohomology theories and spectra; infinite-loop space machines in the sense of Boadman-Vogt, May, and Segal; localization and group completion; the transfer; the Adams conjecture and several proofs of it; and the recent theories of Adams and Priddy and of Madsen, Snaith, and Tornehave. |
Format: | Mode of access: Internet via World Wide Web. |
ISBN: | 9781400821259 9783110494914 9783110442496 |
DOI: | 10.1515/9781400821259 |
Access: | restricted access |
Hierarchical level: | Monograph |
Statement of Responsibility: | John Frank Adams. |