Infinite Loop Spaces (AM-90), Volume 90 : Hermann Weyl Lectures, The Institute for Advanced Study. (AM-90) / John Frank Adams.

Format:

Book

Author/Creator:

Adams, John Frank, author.

Series:

Annals of mathematics studies ; no. 90.

Hermann Weyl lectures.

Annals of Mathematics Studies ; 91

Language:

English

Subjects (All):

Infinite loop spaces.

Physical Description:

1 online resource (229 p.)

Place of Publication:

Princeton, NJ : Princeton University Press, [1978]

Language Note:

In English.

Summary:

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.

Contents:

Frontmatter

PREFACE

TABLE OF CONTENTS

CHAPTER 1. BACKGROUND AND PRELIMINARIES

CHAPTER 2. MACHINERY

CHAPTER 3. LOCALIZATION AND "GROUP COMPLETION"

CHAPTER 4. TRANSFER

CHAPTER 5. THE ADAMS CONJECTURE

CHAPTER 6. THE SPECIAL CASE OF K-THEORY SPECTRA; THE THEOREMS OF ADAMS-PRIDDY AND MADSEN-SNAITH-TORNEHAVE

CHAPTER 7. THE STATE OF THE ART

REFERENCES

INDEX

Backmatter

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

Description based on online resource; title from PDF title page (publisher's Web site, viewed 08. Jul 2019)

ISBN:

9781400821259

1400821258

OCLC:

954129780