Infinite Loop Spaces
Hermann Weyl Lectures, The Institute for Advanced Study
1st Edition
Published on 20. June 2016
230 pages
978-1-4008-2125-9 (ISBN)
Description
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.
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09/1978
Princeton University Press
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09/1978
Princeton University Press
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John Frank Adams
Content
Frontmatter, pg. i
PREFACE, pg. vii
TABLE OF CONTENTS, pg. ix
CHAPTER 1. BACKGROUND AND PRELIMINARIES, pg. 1
CHAPTER 2. MACHINERY, pg. 30
CHAPTER 3. LOCALIZATION AND "GROUP COMPLETION", pg. 74
CHAPTER 4. TRANSFER, pg. 96
CHAPTER 5. THE ADAMS CONJECTURE, pg. 132
CHAPTER 6. THE SPECIAL CASE OF K-THEORY SPECTRA; THE THEOREMS OF ADAMS-PRIDDY AND MADSEN-SNAITH-TORNEHAVE, pg. 142
CHAPTER 7. THE STATE OF THE ART, pg. 192
REFERENCES, pg. 197
INDEX, pg. 211
Backmatter, pg. 215
PREFACE, pg. vii
TABLE OF CONTENTS, pg. ix
CHAPTER 1. BACKGROUND AND PRELIMINARIES, pg. 1
CHAPTER 2. MACHINERY, pg. 30
CHAPTER 3. LOCALIZATION AND "GROUP COMPLETION", pg. 74
CHAPTER 4. TRANSFER, pg. 96
CHAPTER 5. THE ADAMS CONJECTURE, pg. 132
CHAPTER 6. THE SPECIAL CASE OF K-THEORY SPECTRA; THE THEOREMS OF ADAMS-PRIDDY AND MADSEN-SNAITH-TORNEHAVE, pg. 142
CHAPTER 7. THE STATE OF THE ART, pg. 192
REFERENCES, pg. 197
INDEX, pg. 211
Backmatter, pg. 215
