000 | 05056nam a22005535i 4500 | ||
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001 | 978-3-540-46435-8 | ||
003 | DE-He213 | ||
005 | 20190213151436.0 | ||
007 | cr nn 008mamaa | ||
008 | 121227s1991 gw | s |||| 0|eng d | ||
020 |
_a9783540464358 _9978-3-540-46435-8 |
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024 | 7 |
_a10.1007/BFb0084207 _2doi |
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050 | 4 | _aQA611-614.97 | |
072 | 7 |
_aPBP _2bicssc |
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072 | 7 |
_aMAT038000 _2bisacsh |
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072 | 7 |
_aPBP _2thema |
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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. |
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300 |
_aVIII, 496 p. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
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490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1488 |
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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 |
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700 | 1 |
_aPedicchio, Maria Cristina. _eeditor. _4edt _4http://id.loc.gov/vocabulary/relators/edt |
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700 | 1 |
_aRosolini, Guiseppe. _eeditor. _4edt _4http://id.loc.gov/vocabulary/relators/edt |
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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 |
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