ISSN 1201-561X
T A C
6
THEORY AND APPLICATIONS OF CATEGORIES
Volume 24, 2010
Bicategories of spans as cartesian bicategories
Stephen Lack, R.F.C. Walters, and R.J. Wood 1
The Frobenius relations meet linear distributivity
J.M. Egger 25
Joyal’s arithmetic universe as list-arithmetic pretopos
Maria Emilia Maietti 39
Monads as extension systems - no iteration is necessary
F. Marmolejo and R. J. Wood 84
On a conjecture by J.H.Smith
George Raptis 114
Topos theoretic aspects of semigroup actions
Jonathon Funk and Pieter Hofstra 117
Transversal homotopy theory
Jonathan Woolf 148
On modified Reedy and modified projective model structures
Mark W. Johnson 179
Finitely presentable morphisms in exact sequences
Michel Hbert 209
c The Editors of Theory and Applications of Categories 2010. Permission to copy for private use granted.
Theory and Applications of Categories,Vol. 24 ii
The Hopf algebra of Mbius intervals
F. W. Lawvere and M. Menni 221
Tensor products of sup-lattices and generalized sup-arrows
T. Kenney and R.J. Wood 266
Lax presheaves and exponentiability
Susan Niefield 288
The span construction
Robert Dawson, Robert Par´ e, Dorette Pronk 302
On *-autonomous categories of topological modules
Michael Barr, John F. Kennison, and R. Raphael 378
A logic for categories
Claudio Pisani 394
On the duality between trees and disks
David Ouryn 418
Internal profunctors and commutator theory; applications to extensions classification and categorical Galois Theory
Dominique Bourn 451
Higher Dimensional Algebra VII: Groupoidification
John C. Baez, Alexander E. Hoffnung, and Christopher D. Walker 489 Hopf monoidal comonads
Dimitri Chikhladze, Stephen Lack, and Ross Street 554
Strictification of categories weakly enriched in symmetric monoidal categories
Bertrand J. Guillou 564
A unified framework for generalized multicategories
G.S.H. Cruttwell and Michael A. Shulman 580
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.
Full text of the journal is freely available in .dvi, Postscript and PDF from the journal’s server at http://www.tac.mta.ca/tac/and by ftp. It is archived electronically and in printed paper format.
Subscription information.
Individual subscribers receive by e-mail abstracts of articles by e-mail as they are published. To subscribe, send e-mail [email protected] a full name and postal address. For institutional subscription, send enquiries to the Managing Editor.Information for authors.
The typesetting language of the journal is TEX, and LATEX 2ε is strongly encouraged. Articles should be submitted by e-mail directly to a Transmitting Editor. Please obtain detailed information on submission format and style files fromhttp://www.tac.mta.ca/tac/.Managing editor.
Robert Rosebrugh, Mount Allison University: [email protected]TEXnical editor.
Michael Barr, McGill University: [email protected]Assistant TEX editor.
Gavin Seal, Ecole Polytechnique F´ed´erale de Lausanne:gavin [email protected]
Transmitting editors.
Clemens Berger, Universit´e de Nice-Sophia Antipolis,[email protected] Richard Blute, Universit´e d’ Ottawa: [email protected]
Lawrence Breen, Universit´e de Paris 13: [email protected]
Ronald Brown, University of North Wales: ronnie.profbrown(at)btinternet.com Aurelio Carboni, Universit`a dell Insubria: [email protected] Valeria de Paiva: [email protected]
Ezra Getzler, Northwestern University: getzler(at)northwestern(dot)edu Martin Hyland, University of Cambridge: [email protected] P. T. Johnstone, University of Cambridge: [email protected] Anders Kock, University of Aarhus: [email protected]
Stephen Lack, Macquarie University: [email protected]
F. William Lawvere, State University of New York at Buffalo: [email protected] Tom Leinster, University of Glasgow,[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] Jiri Rosicky, Masaryk University: [email protected]
Brooke Shipley, University of Illinois at Chicago: [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] R. J. Wood, Dalhousie University: [email protected]
