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Category Theory - Proceedings of the International Conference held in Como, Italy, July 22-28, 1990 (Paperback, 1991 ed.)
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Category Theory - Proceedings of the International Conference held in Como, Italy, July 22-28, 1990 (Paperback, 1991 ed.)
Series: Lecture Notes in Mathematics, 1488
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With one exception, these papers are original and fully refereed
research articles on various applications of Category Theory to
Algebraic Topology, Logic and Computer Science. The exception is an
outstanding and lengthy survey paper by Joyal/Street (80 pp) on a
growing subject: it gives an account of classical Tannaka duality
in such a way as to be accessible to the general mathematical
reader, and to provide a key for entry to more recent developments
and quantum groups. No expertise in either representation theory or
category theory is assumed. Topics such as the Fourier cotransform,
Tannaka duality for homogeneous spaces, braided tensor categories,
Yang-Baxter operators, Knot invariants and quantum groups are
introduced and studies. From the Contents: P.J. Freyd:
Algebraically complete categories.- J.M.E. Hyland: First steps in
synthetic domain theory.- G. Janelidze, W. Tholen: How algebraic is
the change-of-base functor?.- A. Joyal, R. Street: An introduction
to Tannaka duality and quantum groups.- A. Joyal, M. Tierney:
Strong stacks andclassifying spaces.- A. Kock: Algebras for the
partial map classifier monad.- F.W. Lawvere: Intrinsic co-Heyting
boundaries and the Leibniz rule in certain toposes.- S.H. Schanuel:
Negative sets have Euler characteristic and dimension.-
General
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