Category Theory (Record no. 10686)

MARC details
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fixed length control field 05056nam a22005535i 4500
001 - CONTROL NUMBER
control field 978-3-540-46435-8
003 - CONTROL NUMBER IDENTIFIER
control field DE-He213
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20190213151436.0
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr nn 008mamaa
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fixed length control field 121227s1991 gw | s |||| 0|eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9783540464358
-- 978-3-540-46435-8
024 7# - OTHER STANDARD IDENTIFIER
Standard number or code 10.1007/BFb0084207
Source of number or code doi
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA611-614.97
072 #7 - SUBJECT CATEGORY CODE
Subject category code PBP
Source bicssc
072 #7 - SUBJECT CATEGORY CODE
Subject category code MAT038000
Source bisacsh
072 #7 - SUBJECT CATEGORY CODE
Subject category code PBP
Source thema
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 514
Edition number 23
245 10 - TITLE STATEMENT
Title Category Theory
Medium [electronic resource] :
Remainder of 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.
264 #1 -
-- Berlin, Heidelberg :
-- Springer Berlin Heidelberg :
-- Imprint: Springer,
-- 1991.
300 ## - PHYSICAL DESCRIPTION
Extent VIII, 496 p.
Other physical details online resource.
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-- online resource
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490 1# - SERIES STATEMENT
Series statement Lecture Notes in Mathematics,
International Standard Serial Number 0075-8434 ;
Volume number/sequential designation 1488
505 0# - FORMATTED CONTENTS NOTE
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.
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
Topical term or geographic name as entry element Topology.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Algebraic topology.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Logic, Symbolic and mathematical.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Computer science.
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Topology.
-- http://scigraph.springernature.com/things/product-market-codes/M28000
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Algebraic Topology.
-- http://scigraph.springernature.com/things/product-market-codes/M28019
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematical Logic and Foundations.
-- http://scigraph.springernature.com/things/product-market-codes/M24005
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Computer Science, general.
-- http://scigraph.springernature.com/things/product-market-codes/I00001
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Carboni, Aurelio.
Relator term editor.
Relator code edt
-- http://id.loc.gov/vocabulary/relators/edt
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Pedicchio, Maria Cristina.
Relator term editor.
Relator code edt
-- http://id.loc.gov/vocabulary/relators/edt
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Rosolini, Guiseppe.
Relator term editor.
Relator code edt
-- http://id.loc.gov/vocabulary/relators/edt
710 2# - ADDED ENTRY--CORPORATE NAME
Corporate name or jurisdiction name as entry element SpringerLink (Online service)
773 0# - HOST ITEM ENTRY
Title Springer eBooks
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Display text Printed edition:
International Standard Book Number 9783662166000
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Display text Printed edition:
International Standard Book Number 9783540547068
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Lecture Notes in Mathematics,
-- 0075-8434 ;
Volume number/sequential designation 1488
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier https://doi.org/10.1007/BFb0084207
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