ISSN 1201-561X
TAC
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 Paré, 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 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.
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of members of the Editorial Board. Only papers judged to be both significant and excellent are accepted
for publication.
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Information for authors.
Managing editor. Robert Rosebrugh, Mount Allison University: [email protected]
TEXnical editor. Michael Barr, McGill University: [email protected]
Assistant TEX editor. Gavin Seal, Ecole Polytechnique Fédérale de Lausanne:
gavin [email protected]
Transmitting editors.
Clemens Berger, Université de Nice-Sophia Antipolis, [email protected]
Richard Blute, Université d’ Ottawa: [email protected]
Lawrence Breen, Université de Paris 13: [email protected]
Ronald Brown, University of North Wales: ronnie.profbrown(at)btinternet.com
Aurelio Carboni, Università 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, Université de Strasbourg: [email protected]
Ieke Moerdijk, University of Utrecht: [email protected]
Susan Niefield, Union College: [email protected]
Robert Paré, 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]