Infinite Loop Spaces: Hermann Weyl Lectures, The Institute for Advanced Study

by John Frank Adams

Overview

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.

Product Details

ISBN-13:	9780691082066
Publisher:	Princeton University Press
Publication date:	09/21/1978
Series:	Annals of Mathematics Studies , #90
Pages:	230
Product dimensions:	6.00(w) x 9.00(h) x (d)

Table of Contents

• 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