Overview

Category theory has become the universal language of modern mathematics. This book is a collection of articles applying methods of category theory to the areas of algebra, geometry, and mathematical physics. Among others, this book contains articles on higher categories and their applications and on homotopy theoretic methods. The reader can learn about the exciting new interactions of category theory with very traditional mathematical disciplines.

Full Product Details

Author:   Alexei Davydov ,  Michael Batanin ,  Michael Johnson ,  Stephen Lack
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
Edition:   illustrated Edition
Volume:   No. 431
Weight:   0.826kg
ISBN:  

9780821839706

ISBN 10:   0821839705
Pages:   467
Publication Date:   30 June 2007
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Temporarily unavailable  
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Table of Contents

The beginnings of category theory in Australia by G. M. Kelly Higher gauge theory by J. C. Baez and U. Schreiber Resolution of coloured operads and rectification of homotopy algebras by C. Berger and I. Moerdijk Simplicial monoids and Segal categories by J. Bergner Split extension classifier and centrality by F. Borceux and D. Bourn Moore normalization and Dold-Kan theorem for semi-abelian categories by D. Bourn An intrinsic characterization of branched coverings by M. Bunge and J. Funk The periodic table of $n$-categories for low dimensions I: Degenerate categories and degenerate bicategories by E. Cheng and N. Gurski Abstract cellularization as a cellularization with respect to a set of objects by B. Chorny Batanin higher groupoids and homotopy types by D.-C. Cisinski Centres of monoidal categories of functors by B. Day and R. Street Ribbon categories and (unoriented) CFT: Frobenius algebras, automorphisms, reversions by J. Fuchs, I. Runkel, and C. Schweigert Topological and conformal field theory as Frobenis algebras by I. Runkel, J. Fjelstad, J. Fuchs, and C. Schweigert Characterization of torsion theories in general categories by G. Janelidze and W. Tholen Weak units and homotopy 3-types by A. Joyal and J. Kock Quasi-categories vs Segal spaces by A. Joyal and M. Tierney Parking functions and triangulation of the associahedron by J.-L. Loday La $K$-theorie d'un derivateur triangule by G. Maltsiniotis Appendice: Le derivateur triangule associe a une categorie exacte by B. Keller Formal homotopy quantum field theories, II: Simplicial formal maps by T. Porter Three dimensional monad theory by J. Power Orientals by R. Steiner Weak complicial sets II Nerves of complcial gray-categories by D. Verity.

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