| 000 -LEADER |
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| fixed length control field |
04591nam a22005295i 4500 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| ISBN |
9783540464358 |
| -- |
978-3-540-46435-8 |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
514.2 |
| 245 10 - TITLE STATEMENT |
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| Title |
Category Theory |
| Sub Title |
Proceedings of the International Conference held in Como, Italy, July 22–28, 1990 / |
| Statement of responsibility, etc |
edited by Aurelio Carboni, Maria Cristina Pedicchio, Guiseppe Rosolini. |
| 260 #1 - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Place of publication |
Berlin, Heidelberg : |
| Name of publisher |
Springer Berlin Heidelberg, |
| Year of publication |
1991. |
| 300 ## - PHYSICAL DESCRIPTION |
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| Number of Pages |
VIII, 496 p. |
| Other physical details |
online resource. |
| 490 1# - SERIES STATEMENT |
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| Series statement |
Lecture Notes in Mathematics, |
| 505 0# - FORMATTED CONTENTS NOTE |
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| Formatted 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. |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc |
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.-. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical Term |
Mathematics. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical Term |
Computer science. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical Term |
Logic, Symbolic and mathematical. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical Term |
Algebraic topology. |
| 650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical Term |
Mathematics. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical Term |
Algebraic Topology. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical Term |
Mathematical Logic and Foundations. |
| 650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical Term |
Computer Science, general. |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
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| Personal name |
Carboni, Aurelio. |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
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| Personal name |
Pedicchio, Maria Cristina. |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
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| Personal name |
Rosolini, Guiseppe. |
| 856 40 - ELECTRONIC LOCATION AND ACCESS |
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| Uniform Resource Identifier |
http://dx.doi.org/10.1007/BFb0084207 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Koha item type |
E-BOOKS |
| 264 #1 - |
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| -- |
Berlin, Heidelberg : |
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Springer Berlin Heidelberg, |
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1991. |
| 336 ## - |
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text |
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txt |
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rdacontent |
| 337 ## - |
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computer |
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c |
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rdamedia |
| 338 ## - |
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online resource |
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cr |
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rdacarrier |
| 347 ## - |
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text file |
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PDF |
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rda |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE |
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| -- |
0075-8434 ; |
