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020 _a9783540464358
_9978-3-540-46435-8
024 7 _a10.1007/BFb0084207
_2doi
050 4 _aQA611-614.97
072 7 _aPBP
_2bicssc
072 7 _aMAT038000
_2bisacsh
072 7 _aPBP
_2thema
082 0 4 _a514
_223
245 1 0 _aCategory Theory
_h[electronic resource] :
_bProceedings of the International Conference held in Como, Italy, July 22–28, 1990 /
_cedited by Aurelio Carboni, Maria Cristina Pedicchio, Guiseppe Rosolini.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c1991.
300 _aVIII, 496 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1488
505 0 _aSome 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.
520 _aWith 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.-.
650 0 _aTopology.
650 0 _aAlgebraic topology.
650 0 _aLogic, Symbolic and mathematical.
650 0 _aComputer science.
650 1 4 _aTopology.
_0http://scigraph.springernature.com/things/product-market-codes/M28000
650 2 4 _aAlgebraic Topology.
_0http://scigraph.springernature.com/things/product-market-codes/M28019
650 2 4 _aMathematical Logic and Foundations.
_0http://scigraph.springernature.com/things/product-market-codes/M24005
650 2 4 _aComputer Science, general.
_0http://scigraph.springernature.com/things/product-market-codes/I00001
700 1 _aCarboni, Aurelio.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
700 1 _aPedicchio, Maria Cristina.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
700 1 _aRosolini, Guiseppe.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783662166000
776 0 8 _iPrinted edition:
_z9783540547068
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1488
856 4 0 _uhttps://doi.org/10.1007/BFb0084207
912 _aZDB-2-SMA
912 _aZDB-2-LNM
912 _aZDB-2-BAE
999 _c10686
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