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The Selected Works of J. Frank Adams
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 Few of them have been superseded by later work.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, the Adams spectral sequence, higher-order cohomology operations, and the Hopf invariant one problem; a...
The Selected Works of J. Frank Adams: Volume 2
The selected works of one the greatest names in algebraic topology.
Stable Homotopy and Generalised Homology
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 of the book and gives his definitive treatment of the Adams spectral sequence along with many detailed examples and calculations in KU-theory that help give a feel for the subject.
Lectures on Lie Groups
"[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
Infinite Loop Spaces
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.
Academic Genealogy of Mathematicians
Burn for Burn
Doc
Autobiography of jazz elder statesman Frank “Doc” Adams, highlighting his role in Birmingham, Alabama’s, historic jazz scene and tracing his personal adventure that parallels, in many ways, the story and spirit of jazz itself. Doc tells the story of an accomplished jazz master, from his musical apprenticeship under John T. “Fess” Whatley and his time touring with Sun Ra and Duke Ellington to his own inspiring work as an educator and bandleader. Central to this narrative is the often-overlooked story of Birmingham’s unique jazz tradition and community. From the very beginnings of jazz, Birmingham was home to an active network of jazz practitioners and a remarkable system of jazz a...
