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.
By:
John Frank Adams
Imprint: Princeton University Press
Country of Publication: United States
Volume: 91
Dimensions:
Height: 229mm,
Width: 152mm,
Spine: 13mm
Weight: 340g
ISBN: 9780691082066
ISBN 10: 0691082065
Series: Annals of Mathematics Studies
Pages: 230
Publication Date: 29 November 1978
Audience:
Professional and scholarly
,
College/higher education
,
Undergraduate
,
Primary
Format: Paperback
Publisher's Status: Active
"*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"