J. Frank Adams, the founder of stable homotopy theory, gave a lecture series at the University of Chicago in 1967, 1970, and 1971, the well-written notes of which are published in this classic in algebraic topology. The three series focused on Novikov's work on operations in complex cobordism, Quillen's work on formal groups and complex cobordism, and stable homotopy and generalized homology. Adams's exposition of the first two topics played a vital role in setting the stage for modern work on periodicity phenomena in stable homotopy theory. His exposition on the third topic occupies the bulk...
J. Frank Adams, the founder of stable homotopy theory, gave a lecture series at the University of Chicago in 1967, 1970, and 1971, the well-written no...
" "Lectures in Lie Groups"] fulfills its aim admirably and should be a useful reference for any mathematician who would like to learn the basic results for compact Lie groups. . . . The book is a well written basic text and Adams] has done a service to the mathematical community." Irving Kaplansky"
" "Lectures in Lie Groups"] fulfills its aim admirably and should be a useful reference for any mathematician who would like to learn the basic result...
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.
The theory of infinite loop spaces has been the center of much recent activity in algebraic topology. Frank Adams surveys this extensive work for r...
Eleven of the fourteen invited speakers at a symposium held by the Oxford Mathematical Institute in 1972 have submitted their contributions for publication in this volume.
Eleven of the fourteen invited speakers at a symposium held by the Oxford Mathematical Institute in 1972 have submitted their contributions for public...
J. Frank Adams was one of the world's leading topologists. He solved a number of celebrated problems in algebraic topology, a subject in which he initiated many of the most active areas of research. He wrote a large number of papers during the period 1955 1988, and they are characterised by elegant writing and depth of thought. Few of them have been superseded by later work. This selection, in two volumes, brings together all his major research contributions. They are organised by subject matter rather than in strict chronological order. The first contains papers on: the cobar construction,...
J. Frank Adams was one of the world's leading topologists. He solved a number of celebrated problems in algebraic topology, a subject in which he init...
This selection of Adams' work in two volumes brings together all his major research contributions. They are organized by subject matter rather than in strict chronological order. The first volume contains papers on the cobar construction, the Adams spectral sequence, higher order cohomology operations, and the Hopf invariant one problem, applications of K-theory, generalized homology and cohomology theories. The second volume is mainly concerned with Adams' contributions to characteristic classes and calculations in K-theory, modules over the Steenrod algebra and their Ext groups, finite...
This selection of Adams' work in two volumes brings together all his major research contributions. They are organized by subject matter rather than in...
