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.