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This IMA Volume in Mathematics and its Applications TOWARDS HIGHER
CATEGORIES contains expository and research papers based on a
highly successful IMA Summer Program on n-Categories: Foundations
and Applications. We are grateful to all the participants for
making this occasion a very productive and stimulating one. We
would like to thank John C. Baez (Department of Mathematics,
University of California Riverside) and J. Peter May (Department of
Ma- ematics, University of Chicago) for their superb role as summer
program organizers and editors of this volume. We take this
opportunity to thank the National Science Foundation for its
support of the IMA. Series Editors Fadil Santosa, Director of the
IMA Markus Keel, Deputy Director of the IMA v PREFACE DEDICATED TO
MAX KELLY, JUNE 5 1930 TO JANUARY 26 2007. This is not a
proceedings of the 2004 conference "n-Categories: Fo- dations and
Applications" that we organized and ran at the IMA during the two
weeks June 7-18, 2004! We thank all the participants for helping
make that a vibrant and inspiring occasion. We also thank the IMA
sta? for a magni?cent job. There has been a great deal of work in
higher c- egory theory since then, but we still feel that it is not
yet time to o?er a volume devoted to the main topic of the
conference.
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 Few of them have been superseded by later work.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.
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.
This IMA Volume in Mathematics and its Applications TOWARDS HIGHER
CATEGORIES contains expository and research papers based on a
highly successful IMA Summer Program on n-Categories: Foundations
and Applications. We are grateful to all the participants for
making this occasion a very productive and stimulating one. We
would like to thank John C. Baez (Department of Mathematics,
University of California Riverside) and J. Peter May (Department of
Ma- ematics, University of Chicago) for their superb role as summer
program organizers and editors of this volume. We take this
opportunity to thank the National Science Foundation for its
support of the IMA. Series Editors Fadil Santosa, Director of the
IMA Markus Keel, Deputy Director of the IMA v PREFACE DEDICATED TO
MAX KELLY, JUNE 5 1930 TO JANUARY 26 2007. This is not a
proceedings of the 2004 conference "n-Categories: Fo- dations and
Applications" that we organized and ran at the IMA during the two
weeks June 7-18, 2004! We thank all the participants for helping
make that a vibrant and inspiring occasion. We also thank the IMA
sta? for a magni?cent job. There has been a great deal of work in
higher c- egory theory since then, but we still feel that it is not
yet time to o?er a volume devoted to the main topic of the
conference.
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