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 Few of them have been superseded by later work.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; applications of
K-theory; generalised 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 H-spaces and
compact Lie groups; maps between classifying spaces of compact
groups. Every serious student or practitioner of algebraic topology
will want to own a copy of these two volumes both as a historical
record and as a source of continued reference.
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