Infinite Loop Spaces

Hermann Weyl Lectures, The Institute for Advanced Study

John Frank Adams (Autor)

Buch | Softcover

230 Seiten

1978
Princeton University Press (Verlag)
9780691082066 (ISBN)

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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.

*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

Erscheint lt. Verlag	21.9.1978
Reihe/Serie	Annals of Mathematics Studies
Verlagsort	New Jersey
Sprache	englisch
Maße	152 x 229 mm
Gewicht	340 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Algebra
ISBN-13	9780691082066 / 9780691082066
Zustand	Neuware