ISSN 1201-561X
T A C
6
THEORY AND APPLICATIONS OF CATEGORIES
Volume 1, 1995
Oriented singular homology
Michael Barr 1
Functorial and algebraic properties of Brown’s P functor
Luis-Javier Hern´ andez-Paricio 10
On finite induced crossed modules, and the homotopy 2-type of mapping cones
Ronald Brown and Christopher D. Wensley 54
Kan extensions along promonoidal functors
Brian Day and Ross Street 72
Symmetric monoidal categories model all connective spectra
R. W. Thomason 78
Distributive adjoint strings
Robert Rosebrugh and R. J. Wood 119
⃝c The Editors of Theory and Applications of Categories 1995. Permission to copy for private use granted.
Theory and Applications of Categories,Vol. 1 ii
A forbidden-suborder characterization of binarily-composable diagrams in double categories
Robert Dawson 146
Categorical data-specifications
Frank Piessens and Eic Steegmans 156
On the size of categories
Peter Freyd and Ross Street 174
Theory and Applications of Categories,Vol. 1 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/gopher/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 and Postscript format. Details will be e- mailed to new subscribers and are available byWWW/gopher/ftp. To subscribe, send e-mail [email protected] including a full name and postal address. For institutional subscription, send enquiries to the Managing Editor, Robert Rosebrugh,[email protected].Information for authors.
The typesetting language of the journal is TEX, and LaTEX is the 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 submission format and style files from the journal’s WWW server atURL http://www.tac.mta.ca/tac/ or by anonymous ftp from ftp.tac.mta.ca in the directory pub/tac/info. 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] Lawrence Breen, Universit´e de Paris 13: [email protected] Ronald Brown, University of North Wales: [email protected] Jean-Luc Brylinski, Pennsylvania State University: [email protected] Aurelio Carboni, University of Genoa: [email protected] P. T. Johnstone, University of Cambridge: [email protected] G. Max Kelly, University of Sydney: kelly [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] 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]
R. W. Thomason, Universit´e de Paris 7: [email protected] Myles Tierney, Rutgers University: [email protected]
Robert F. C. Walters, University of Sydney: walters [email protected] R. J. Wood, Dalhousie University: [email protected]
