ISSN 1201-561X
THEORY AND APPLICATIONS OF CATEGORIES
Volume 2, 1996
Editorial Notice
Robert W. Thomason 1952-1995 1
Computing crossed modules induced by an inclusion
of a normal subgroup, with applications to homotopy 2-types
Ronald Brown and Christopher D. Wensley 3
The Chu construction
Michael Barr 17
A counterexample to a conjecture of Barr
Sarah Whitehouse 36
An algebraic description of locally multipresentable categories
Jiri Adamek and Jiri Rosicky 40
Finiteness of a non-abelian tensor product of groups
N. Inassaridze 54
On quantic conuclei in orthomodular lattices
Leopoldo Roman and Rita E.ZuaZua 62
Combinatorics of curvature and the Bianchi identity
Anders Kock 69
Remarks on quintessential and persistent localizations
Peter T. Johnstone 90
Glueing Analysis for Complemented Subtoposes
Anders Kock and Till Plewe 100
A note on free regular and exact completions
and their infinitary generalizations
Hongde Hu and Walter Tholen 113
Copyright: The Editors of Theory and Applications of Categories
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 contributions 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 tools
WWW/ftp. The journal is archived electronically and in
printed paper format.
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For institutional subscription, send enquiries to the Managing Editor,
Robert Rosebrugh, rrosebrugh@mta.ca.
Information for authors:
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preferred flavour. 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
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You may also write to tac@mta.ca to receive details by e-mail.
Editorial board:
John Baez, University of California, Riverside:
baez@math.ucr.edu
Michael Barr, McGill University:
barr@triples.math.mcgill.ca
Lawrence Breen, Universite de Paris 13:
breen@math.univ-paris13.fr
Ronald Brown, University of North Wales:
r.brown@bangor.ac.uk
Jean-Luc Brylinski, Pennsylvania State University:
jlb@math.psu.edu
Aurelio Carboni, University of Genoa:
carboni@vmimat.mat.unimi.it
P. T. Johnstone, University of Cambridge:
ptj@pmms.cam.ac.uk
G. Max Kelly, University of Sydney:
kelly_m@maths.su.oz.au
Anders Kock, University of Aarhus:
kock@mi.aau.dk
F. William Lawvere, State University of New York at Buffalo:
wlawvere@acsu.buffalo.edu
Jean-Louis Loday, Universite de Strasbourg:
loday@math.u-strasbg.fr
Ieke Moerdijk, University of Utrecht:
moerdijk@math.ruu.nl
Susan Niefield, Union College:
niefiels@gar.union.edu
Robert Pare, Dalhousie University:
pare@cs.dal.ca
Andrew Pitts, University of Cambridge:
ap@cl.cam.ac.uk
Robert Rosebrugh, Mount Allison University:
rrosebrugh@mta.ca
Jiri Rosicky, Masaryk University:
rosicky@math.muni.cz
James Stasheff, University of North Carolina:
jds@charlie.math.unc.edu
Ross Street, Macquarie University:
street@macadam.mpce.mq.edu.au
Walter Tholen, York University:
tholen@mathstat.yorku.ca
Myles Tierney, Rutgers University:
tierney@math.rutgers.edu
Robert F. C. Walters, University of Sydney:
walters_b@maths.su.oz.au
R. J. Wood, Dalhousie University:
rjwood@cs.da.ca