E-Book, Englisch, 230 Seiten
Adams Infinite Loop Spaces
1. Auflage 2016
ISBN: 978-1-4008-2125-9
Verlag: De Gruyter
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)
Hermann Weyl Lectures, The Institute for Advanced Study
E-Book, Englisch, 230 Seiten
Reihe: Annals of Mathematics Studies
ISBN: 978-1-4008-2125-9
Verlag: De Gruyter
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)
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.
Autoren/Hrsg.
Weitere Infos & Material
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
