ISSN 1201-561X
T
A
C
✓ ✏
✒ ✑✻
THEORY AND APPLICATIONS OF CATEGORIES
Volume 20, 2008
Editorial Notice: Max Kelly, 5 June 1930 - 26 January 2007
Ross Street
1
Locally cartesian closed categories without chosen constructions
Erik Palmgren
5
Generalized Brown representability in homotopy categories: Erratum
Jiri Rosicky
18
Frobenius objects in cartesian bicategories
R.F.C Walters and R.J. Wood
25
Abelian groupoids and non-pointed additive categories
Dominique Bourn
48
Coherence for pseudodistributive laws revisited
F. Marmolejo and R. J. Wood
74
Balanced category theory
Claudio Pisani
85
Category-theoretic models of linear Abadi and Plotkin logic
Lars Birkedal and Rasmus E. Mogelberg and Rasmus L. Petersen
116
c
Theory and Applications of Categories,Vol. 20 ii
Kan extensions in double categories (On weak double categories, Part III)
Marco Grandis and Robert Par´e
152
Fundamental pushout toposes
Marta Bunge
186
Algebraic real analysis
Peter Freyd
215
Star-autonomous functor categories
Jeff Egger
307
Colimits of representable algebra-valued functors
George M. Bergman
334
Quotients of unital
A
∞-categories
Volodymyr Lyubashenko and Oleksandr Manzyuk
405
Core varieties, extensivity, and rig geometry
F. William Lawvere
497
Isbell duality
Michael Barr, John F. Kennison, and R. Raphael
504
Cohomology theory in 2-categories
Hiroyuki Nakaoka
542
Propri´et´es universelles et extensions de Kan d´eriv´ees
Denis-Charles Cisinski
605
Framed bicategories and monoidal fibrations
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 bye-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 isstrongly 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, McGill University: gavin [email protected]Transmitting editors.
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, Cuill Inc.: [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, University of Western Sydney: [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]
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]
