ISSN 1201-561X
T A C
6
THEORY AND APPLICATIONS OF CATEGORIES
Volume 27, 2012-13
A special volume of articles from the CT2011 conference.
Introduction
The guest editors 1
Remarks on exactness notions pertaining to pushouts
Richard Garner 2
Exponentiability via double categories
Susan Niefield 10
On the axioms for adhesive and quasiadhesive categories
Richard Garner and Stephen Lack 27
The core of adjoint functors
Ross Street 47
Weakly Mal’tsev categories and strong relations
Zurab Janelidze and Nelson Martins-Ferreira 65
Symmetry of regular diamonds, the Goursat property, and subtractivity
Marino Gran, Zurab Janelidze, Diana Rodelo and Aldo Ursini 80 Exact completions and small sheaves
Michael Shulman 97
The Editors of TAC wish to thank Marino Gran, George Janelidze, Stephen Lack, John MacDonald and Walter Tholen who acted as guest editors for this special volume.
c The Editors of Theory and Applications of Categories 2013. Permission to copy for private use granted.
Theory and Applications of Categories,Vol. 27 ii
The Ursini commutator as normalized Smith-Pedicchio commutator
Sandra Mantovani 174
Higher central extensions via commutators
Diana Rodelo and Tim Van der Linden 189
Descent in monoidal categories
Bachuki Mesablishvili 210
The *-autonomous category of uniform sup semi-lattices
Michael Barr, John F. Kennison, and R. Raphael 222
Lawvere completeness as a topological property
Serdar Sozubek 242
Generalized Hopf modules for bimonads
Marcelo Aguiar and Stephen U. Chase 263
Proper maps for lax algebras and the Kuratowski-Mr´ owka theorem
Maria Manuel Clementino and Walter Tholen 327
On actions and strict actions in homological categories
Manfred Hartl and Bruno Loiseau 347
Composition of modules for lax functors
Robert Par´ e 393
Elementary quotient completion
Maria Emilia Maietti and Giuseppe Rosolini 445
An equational metalogic for monadic equational systems
Marcelo Fiore 464
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 Valeria de Paiva: [email protected]
Ezra Getzler, Northwestern University: getzler(at)northwestern(dot)edu Kathryn Hess, Ecole Polytechnique F´ed´erale de Lausanne: [email protected] Martin Hyland, 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 Edinburgh: [email protected]
Ieke Moerdijk, Radboud University Nijmegen: [email protected] Susan Niefield, Union College: [email protected]
Robert Par´e, Dalhousie University: [email protected] Jiri Rosicky, Masaryk University: [email protected]
Giuseppe Rosolini, Universit`a di Genova: [email protected] Alex Simpson, University of Edinburgh: [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]
