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ISSN 1201-561X

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THEORY AND APPLICATIONS OF CATEGORIES

Volume 18, 2007

Bicat is not triequivalent to Gray

Stephen Lack

1

Polarized category theory, modules, and game semantics

J.R.B. Cockett and R.A.G. Seely

4

Functional analysis on normed spaces: the Banach space comparison

M. Sioen and S. Verwulgen

102

On Yetter’s Invariant and an Extension of the Dijkgraaf-Witten Invariant to Categorical

Groups

Joao Faria Martins and Timothy Porter

118

Pullback and finite coproduct preserving functors between categories of permutation

rep-resentations: Corrigendum and Addendum

Elango Panchadcharam and Ross Street

151

CCD lattices in presheaf categories

G. S. H. Cruttwell, F. Marmolejo and R.J. Wood

157

Monad compositions I: general constructions and recursive distributive laws

Ernie Manes and Philip Mulry

172

Quasi locally connected toposes

Marta Bunge and Jonathon Funk

209

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Theory and Applications of Categories,Vol. 18 ii

More morphisms between bundle gerbes

Konrad Waldorf

240

Towards an n-category of cobordisms

Eugenia Cheng and Nick Gurski

274

The theory of core algebras: its completeness

Peter Freyd

303

Higher cospans and weak cubical categories (Cospans in algebraic topology, I)

Marco Grandis

321

Coherent unit actions on regular operads and Hopf algebras

Kurusch Ebrahimi-Fard and Li Guo

348

Dense morphisms of monads

Panagis Karazeris and Jiri Velebil

372

Enriched model categories and an application to additive endomorphism spectra

Daniel Dugger and Brooke Shipley

400

Nuclei of categories with tensor products

Alexei Davydov

440

Exploring the gap between linear and classical logic

Francois Lamarche

473

On the axiomatisation of Boolean categories with and without medial

Lutz Strassburger

536

Collared cospans, cohomotopy and TQFT (cospans in algebraic topology, II)

Marco Grandis

602

A universal property of the monoidal 2-category of cospans of ordinals and surjections

M. Menni, N. Sabadini and R. F. C. Walters

631

Quotients of tannakian categories

J.S. Milne

654

Familial 2-functors and parametric right adjoints

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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 tools

WWW/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, Postscript and PDF. Details will be e-mailed to new subscribers. To subscribe, send e-mail to [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

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 at http://www.tac.mta.ca/tac/. You may also write [email protected] to receive details by e-mail.

Editorial board.

Managing editor.

Robert Rosebrugh, Mount Allison University: [email protected]

TEXnical editor.

Michael Barr, McGill University: [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, Xerox Palo Alto Research Center: [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]

G. Max Kelly, University of Sydney: [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]

Referensi

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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

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

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

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

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

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

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

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