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Category Theory: Proceedings of the International Conference held in Como, Italy, July 22–28, 1990 /

Category Theory: Proceedings of the International Conference held in Como, Italy, July 22–28, 1990 /
Catalogue Information
Field name Details
Dewey Class 514
Title Category Theory ([EBook] :) : Proceedings of the International Conference held in Como, Italy, July 22–28, 1990 / / edited by Aurelio Carboni, Maria Cristina Pedicchio, Guiseppe Rosolini.
Added Personal Name Carboni, Aurelio editor.
Pedicchio, Maria Cristina editor.
Rosolini, Guiseppe editor.
Other name(s) SpringerLink (Online service)
Publication Berlin, Heidelberg : : Springer Berlin Heidelberg : : Imprint: Springer, , 1991.
Physical Details VIII, 496 p. : online resource.
Series Lecture Notes in Mathematics 0075-8434 ; ; 1488
ISBN 9783540464358
Summary Note 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.-.:
Contents note Some thoughts on the future of category theory -- What are locally generated categories? -- Some remarks on free monoids in a topos -- A generic sheaf representation for rings -- Normalization equivalence, kernel equivalence and affine categories -- Computing quotients of actions of a free category -- A long exact sequence in non-abelian cohomology -- Algebraically complete categories -- Order-enriched sketches for typed lambda calculi. -- First steps in synthetic domain theory -- Precategories and Galois theory -- How algebraic is the change-of-base functor? -- Fixpoint and loop constructions as colimits -- Preframe presentations present -- Strong stacks and classifying spaces -- Trees in distributive categories -- A note on relations relative to a factorization system -- Algebras for the partial map classifier monad -- Intrinsic co-Heyting boundaries and the Leibniz rule in certain toposes -- Concretely functorial programming -- Weak products over a locally Hausdorff locale -- Categorical interpolation: Descent and the Beck-Chevalley condition without direct images -- An n-categorical pasting theorem -- Topos-theoretic approaches to modality -- Negative sets have Euler characteristic and dimension -- Modular categories -- Some constructive results related to compactness and the (strong) Hausdorff property for locales -- An introduction to Tannaka duality and quantum groups.
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site http://dx.doi.org/10.1007/BFb0084207
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