Overview

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 a survey paper which gives an account of classical Tannaka duality in such a way as to be accessible to the general mathematical reader. No expertise in either representation theory or category theory is assumed. Topics such as the Fourier co-transform, Tannaka duality for homogeneous spaces, braided tensor categories, Yang-Baxter operators, Knot invariants and quantum groups are introduced and studied.

Full Product Details

Author:   Aurelio Carboni ,  Maria C. Pedicchio ,  Giuseppe Rosolini ,  G. Rosolini (University of Parma, Italy)
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   1991 ed.
Volume:   1488
Dimensions:   Width: 15.50cm , Height: 2.50cm , Length: 23.50cm
Weight:   0.756kg
ISBN:  

9783540547068

ISBN 10:   3540547061
Pages:   496
Publication Date:   23 October 1991
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Out of stock  
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Table of Contents

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.

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