ISSN 1201-561X
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THEORY AND APPLICATIONS OF CATEGORIES
Volume 9, 2001-2
CT2000
Infinitesimal aspects of the Laplace operator
Anders Kock
1
A note on exactness and stability in homotopical algebra
Marco Grandis
17
Simplicial torsors
Tibor Beke
43
A note on actions of a monoidal category
G. Janelidze and G.M. Kelly
61
Classifying spaces of categories and term rewriting
Maurizio G. Citterio
92
Categorical domain theory: Scott topology, powercategories, coherent categories
Panagis Karazeris
106
The Hurwitz action and braid group orderings
Jonathon Funk
121
The Editors ofTACwish to thank Aurelio Carboni, Pino Rosolini and Robert Walters who acted as guest editors for this special volume.
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Theory and Applications of Categories,Vol. 9 ii
Centrality and normality in protomodular categories
Dominique Bourn and Marino Gran
151
The alternation hierarchy for the theory of
µ
-lattices
Luigi Santocanale
166
Simplicial matrices and the nerves of weak
n
-Categories I : nerves of bicategories
John W. Duskin
198
Theory and Applications of Categories,Vol. 9 iii THEORY AND APPLICATIONS OF CATEGORIES (ISSN 1201-561X) will disseminate articles that significantly advance the study of categorical algebra or methods, or that make significant new contribu-tions to mathematical science using categorical methods. The scope of the journal includes: all areas of pure category theory, including higher dimensional categories; applications of category theory to algebra, geometry and topology and other areas of mathematics; applications of category theory to computer science, physics and other mathematical sciences; contributions to scientific knowledge that make use of categorical methods.
Articles appearing in the journal have been carefully and critically refereed under the responsibility of members of the Editorial Board. Only papers judged to be both significant and excellent are accepted for publication.
The method of distribution of the journal is via the Internet toolsWWW/ftp. The journal is archived electronically and in printed paper format.
Subscription information.
Individual subscribers receive (by e-mail) abstracts of articles as they are published. Full text of published articles is available in .dvi, Postscript and PDF. Details will be e-mailed to new subscribers. To subscribe, send e-mail to [email protected] including a full name and postal address. For institutional subscription, send enquiries to the Managing Editor, Robert Rosebrugh,Information for authors.
The typesetting language of the journal is TEX, and LATEX is the preferredflavour. TEX source of articles for publication should be submitted by e-mail directly to an appropriate Editor. They are listed below. Please obtain detailed information on submission format and style files from the journal’s WWW server athttp://www.tac.mta.ca/tac/. You may also write [email protected]
to receive details by e-mail.
Editorial board.
John Baez, University of California, Riverside: [email protected]
Michael Barr, McGill University: [email protected],Associate Managing Editor
Lawrence Breen, Universit´e Paris 13: [email protected]
Ronald Brown, University of North Wales: [email protected]
Jean-Luc Brylinski, Pennsylvania State University: [email protected]
Aurelio Carboni, Universit`a dell Insubria: [email protected]
P. T. Johnstone, University of Cambridge: [email protected]
G. Max Kelly, University of Sydney: [email protected]
Anders Kock, University of Aarhus: [email protected]
F. William Lawvere, State University of New York at Buffalo: [email protected]
Jean-Louis Loday, Universit´e de Strasbourg: [email protected]
Ieke Moerdijk, University of Utrecht: [email protected]
Susan Niefield, Union College: [email protected]
Robert Par´e, Dalhousie University: [email protected]
Andrew Pitts, University of Cambridge: [email protected]
Robert Rosebrugh, Mount Allison University: [email protected], Managing Editor
Jiri Rosicky, Masaryk University: [email protected]
James Stasheff, University of North Carolina: [email protected]
Ross Street, Macquarie University: [email protected]
Walter Tholen, York University: [email protected]
Myles Tierney, Rutgers University: [email protected]
Robert F. C. Walters, University of Insubria: [email protected]
