Infinite Loop Spaces

Front Cover
Princeton University Press, Sep 21, 1978 - Mathematics - 214 pages

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.

 

What people are saying - Write a review

We haven't found any reviews in the usual places.

Contents

CHAPTER 1
3
CHAPTER 2
30
sn
43
se
44
66
category namely the category
68
CHAPTER 3
74
6ES
75
03
130
CHAPTER 5
132
CHAPTER 6
142
ENA
174
024
181
KABCZN
184
that ensures
189
CHAPTER 7
192

72X
85
CHAPTER 4
96
REFERENCES
197
Copyright

Other editions - View all

Common terms and phrases

Popular passages

Page 198 - MF Atiyah and R. Bott, On the periodicity theorem for complex vector bundles, Acta Math.
Page 200 - REFERENCES 1. R. Bott, The stable homotopy of the classical groups, Proc. Nat. Acad. Sci. USA vol. 43 (1951) pp.
Page 206 - G. Nishida, Cohomology operations in iterated loop spaces, Proc. Japan Acad. 44 (1968), 104-109.
Page 198 - Topology 5 (1966), 21-71. 2. JF Adams and G. Walker, On Complex Stiefel manifolds, Proc. Cambridge Philos. Soc. 61 (I960), 81-103.
Page 200 - A. Borei and F. Hirzebruch, Characteristic classes and homogeneous spaces I, Amer. J. Math.
Page 201 - EH Brown, Jr., Cohomology theories, Ann. of Math. (2) 75 (1962), 467-484; correction, ibid.

Bibliographic information