Infinite Loop Spaces
eBook - PDF

Infinite Loop Spaces

Hermann Weyl Lectures, The Institute for Advanced Study

  1. 230 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Infinite Loop Spaces

Hermann Weyl Lectures, The Institute for Advanced Study

About this book

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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Yes, you can access Infinite Loop Spaces by John Frank Adams in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematics General. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover
  2. Title
  3. Copyright
  4. PREFACE
  5. TABLE OF CONTENTS
  6. CHAPTER 1. BACKGROUND AND PRELIMINARIES
  7. CHAPTER 2. MACHINERY
  8. CHAPTER 3. LOCALIZATION AND ā€œGROUP COMPLETIONā€
  9. CHAPTER 4. TRANSFER
  10. CHAPTER 5. THE ADAMS CONJECTURE
  11. CHAPTER 6. THE SPECIAL CASE OF K-THEORY SPECTRA; THE THEOREMS OF ADAMS-PRIDDY AND MADSEN-SNAITH-TORNEHAVE
  12. CHAPTER 7. THE STATE OF THE ART
  13. REFERENCES
  14. INDEX