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C AHIERS DE

TOPOLOGIE ET GÉOMÉTRIE DIFFÉRENTIELLE CATÉGORIQUES

TAC

TAC : Theory and Applications of Categories

Cahiers de topologie et géométrie différentielle catégoriques, tome 52, no2 (2011), p. 156-160

<http://www.numdam.org/item?id=CTGDC_2011__52_2_156_0>

© Andrée C. Ehresmann et les auteurs, 2011, tous droits réservés.

L’accès aux archives de la revue « Cahiers de topologie et géométrie différentielle catégoriques » implique l’accord avec les conditions générales d’utilisation (http://www.numdam.org/conditions). Toute utilisation commerciale ou impression systématique est constitutive d’une infraction pénale. Toute copie ou impression de ce fichier doit contenir la présente mention de copyright.

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TaC : Theory and Applications of Categories

Hereafter we give some information about the electronic Journal:

Theory and Applications o f Categories (TaC ), ISSN 1201-561X

Contents of VOLUME 24, 2010 Volume 24-2010

1. St e p h e n La c k, R.F.C. Wa l t e r s, a n d R.J. Wo o d, Bicategories of spans as cartesian bicategories, 1-24

2. J.M. Eg g e r, The Frobenius relations meet linear distributivity, 25-38

3. Ma r ia Em il ia Ma ie t t i, Joyal's arithmetic universe as list-arithmetic pretopos, 3 9 -8 3

4. F. Ma r m o l e j o a n d R. J. Wo o d, Monads as extension systems - no iteration is necessary, 84-113

5. Ge o r g e Ra p t i s, On a conjecture by J.H.Smith, 114-116

6. Jo n a t h o n Fu n k a n d Pie t e r Ho f s t r a, Topos theoretic aspects of se­

migroup actions, 117-147

7. Jo n a t h a n Wo o l f,Transversal homotopy theory, 148-178

8. Ma r k W . Jo h n s o n, On modified Reedy and modified projective model structures, 179-208

9. Mic h e l He b e r t, Finitely presentable morphisms in exact sequences, 209-220

10. F. W. La w v e r e a n d M. Me n n i, The Hopf algebra of Mius intervals, 221-265

11. T. Ke n n e y a n dR J. Wo o d, Tensor products of sup-lattices and genera­

lized sup-arrows, 266-287

12. Su s a n Nie f ie l d, Lax presheaves and exponentiability, 288-301

13. Ro b e r t Da w s o n, Ro b e r t Pa r e a n d Do r e t t e Pr o n k, The span con­

struction, 302-377

14. Mic h a e l Ba r r, Jo h n F. Ke n n is o n, a n d R . Ra p h a e l, On *- autonomous categories of topological modules, 378-393

15. Cl a u d io Pis a n i, A logic for categories, 394-417

16. Da v id Ou r y, O n th e d u a lity b e tw e e n tre e s a n d d is k s , 418-450

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JOURNAL ELECTRONIQUE TAC 23-24

17. Do m in iq u e Bo u r n, Internal profunctors and commutator theory; ap­

plications to extensions classification and categorical Galois Theory, 451-488

18. Jo h n C . Ba e z, Al e x a n d e r E . Ho f f n u n g, a n d Ch r is t o p h e r D.

Wa l k e r, Higher Dimensional Algebra VII: Groupoidification, 489-553 19. Dim it r i Ch ik h l a d z e, St e p h e n La c k, a n d Ro s s St r e e t, Hopf mo-

noidal comonads, 554-563

20. Be r t r a n d J. Gu il l o u, Strictification of categories weakly enriched in symmetric monoidal categories, 564-579

21. G .S .H . Cr u t t w e l l a n d Mic h a e l A . Sh u l m a n,A unified framework for generalized multicategories, 580-655.

Volume 23 - The Bourn Festschrift*

A special volume dedicated to Dominique Bourn on the occasion of his 60',h birthday.

Foreword, The guest editors, 1-6

1. An d r e a Mo n t o l i, Action accessibility for categories of interest, 7-21 2. To m a s Ev e r a e r t a n d Ma r in o Gr a n, Homology of «-fold groupoids,

22-41

3. Ross St r e e t a n d Do m in ic Ve r it y, The comprehensive factorization and torsors, 42-75

4. Ta m a r Ja n e l id z e, Snake Lemma in incomplete relative homological categories, 76-91

5. Fr a n c is Bo r c e u x, St e f a a n Ca e n e p e e l a n d Ge o r g e Ja n e l id z e, Mo­

nadic approach to Galois descent and cohomology, 92-112

6. Sa n d r a Ma n t o v a n i a n d Giu s e p p e Me t e r e, Internal crossed modules and Peiffer Condition, 113-135

7. G. Ja n e l id z ea n d W . Th o l e n, Strongly separable morphisms in gener­

al categories, 136-149

8. Dia n a Ro d e l o a n d Tim Va n d e r Lin d e n, The third cohomology group classifies double central extensions, 150-169

9. N . Ma r t in s-Fe r r e ir a, Star-multiplicative graphs in pointed protomo- dular categories, 170-198

10. El is a b e t h Bu r r o n i a n d Ja c q u e s Pe n o n, A metric tangential calcu­

lus, 199-220

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11. Zu r a b Ja n e l id z e, The pointed subobject functor, 3 x 3 lemmas, and subtractivity of spans, 221-242

12. Re in h a r d Be r g e r, A categorical approach to integration, 243-250 13. J. Ad a m e k, J. Ro s ic k y a n d E. M. Vit a l e, What are sifted colimits?

251-260

* The Editors of TAC wish to thank Andree Ehresmann, George Janelidze, Jiri Rosicky, Walter Tholen and Enrico Vitale who acted as guest editors for this special volume.

General Information

Th e o r ya n d Ap p l ic a t io n s o f Ca t e g o r ie s (ISSN 1201-561X) will dis­

seminate 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 oth­

er areas of mathematics; applications of category theory to computer science, physics and other mathematical sciences; contributions to scientif­

ic 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 W W W /ftp.

The journal is archived electronically and in printed paper format. The full table of contents is at www.tac.mta.ca/tac/

Subscription/Access to articles

Individual subscribers receive abstracts of accepted papers by electronic mail. Compiled TeX (.dvi), Postscript and PDF files of the full articles are available by Web/ftp. Details will be e-mailed to new subscribers and are available by W W W /ftp. To subscribe, send a request to: tac@mta.ca includ­

ing a full name and postal address. The journal is free for individuals. For institutional subscription, send enquiries to the Managing Editor, Robert Rosebrugh, rrosebrugh@mta.ca.

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JOURNAL ELECTRONIQUE TAC 23-24

Information for authors

The typesetting language of the journal is TgX, and LaTgX 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 the URL: http://www.tac.mta.ca/tac/ .You may also write to tac@mta.ca to receive details by e-mail.

Editorial board

Robert ROSEBRUGH, Mount Allison University (Managing Editor):

rrosebrugh@mta. ca

Michael BARR, McGill University (Associate Managing Editor):

barr@math.mcgill.ca

Richard BLUTE, Université d'Ottawa: rblute@mathstat.uottawa.ca Lawrence Br e e n, Université Paris 13: breen@math.univ-parisl3.fr Ronald Br o w n, University of North Wales: r.brown@bangor.ac.uk Aurelio CARBONI, Università dell Insubria: carboni@uninsubria.it Valeria DE PAIVA, Palo Alto Research Center: paiva@parc.xerox.com Ezra Ge t z l e r, NorthwestemUniversity: getzler@)math.northwestem.edu Martin HYLAND, University of Cambridge: m.hyland@cam.ac.uk

P. T. JOHNSTONE, University of Cambridge: ptj@dpmms.cam.ac.uk Anders KOCK, University of Aarhus: kock@imf.au.dk

Stephen LACK, University of Western Sydney: s.lack@uws.edu.au

F. William LAWVERE, State University of New York at Buffalo:

wlawvere@acsu.buffalo.edu

Jean-Louis LODAY, Université Louis Pasteur et CNRS, Strasbourg:

loday@math.u-strasbg.fr

Ieke MOERDIJK, University of Utrecht: moerdijk@math.uu.nl Susan Ni e f i e l d, Union College: niefiels@union.edu

Robert Pa r e, Dalhousie University: pare@mathstat.dal.ca Brooke Sh ip l e y, University of Illinois at Chicago:

bshipley@math.uic.edu

Jiri R.OSICKY, Masaryk University: rosicky@math.muni.cz

James STASHEFF, University of North Carolina: jds@math.unc.edu

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Ross STREET, Macquarie University: street@math.mq.edu.au Walter THOLEN, York University: tholen@mathstat.yorku.ca Myles TIERNEY, Rutgers University: tiemey@math.rutgers.edu

Robert F. C. WALTERS, University of Sydney: robert.walters@unisubria.it R. J. WOOD, Dalhousie University: ijwood@mathstat.dal.ca

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