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Theory and Applications of Categories

ISSN 1201 - 561X

[ Volume 7 - 2000 ]

[ Volume 5 - 1999 | Volume 6 - Lambek Festschrift ]

[ Volume 1 - 1995 | Volume 2 - 1996 | Volume 3 - 1997 | Volume 4 - 1998 ]

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Volume 7 - 2000

Table of contents also available in .dvi or .ps format.

1. On Branched Covers in Topos Theory
Jonathon Funk, 1-22
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2. A Pseudo Representation Theorem for Various Categories of Relations
M. Winter, 23-37
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3. Pure morphisms of commutative rings are effective descent morphisms for modules -- a new proof
Bachuki Mesablishvili, 38-42
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4. On saturated classes of morphisms
Carles Casacuberta and Armin Frei, 43-46
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5. Factorization systems for symmetric cat-groups
S. Kasangian and E.M. Vitale, 47-70
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6. Balanced coalgebroids
Paddy McCrudden, 71-147
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7. On the monadicity of categories with chosen colimits
G. M. Kelly and Stephen Lack, 148-170
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8. M-Completeness is seldom monadic over graphs
J. Adamek and G. M. Kelly, 171-205
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9. Normal functors and strong protomodularity
Dominique Bourn, 206-218
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10. Central extensions in Malt'sev varieties
G. Janelidze and G. M. Kelly, 219-226
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11. On the object-wise tensor product of functors to modules
Marek Golasinski, 226-235
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12. Quasi-varieties of presheaves
Enrico M. Vitale, 236-238
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13. Solution manifolds for systems of differential equations
John F. Kennison, 239-262
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14. A simplicial description of the homotopy category of simplicial groupoids
A. R. Garzon, J. G. Miranda and R. Osorio, 263-283
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15. Geometric and Higher Order Logic in terms of Abstract Stone Duality
Paul Taylor, 284-338
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Volume 6 - The Lambek Festschrift*

A special volume dedicated to Joachim Lambek on the occasion of his 75'th birthday.

Table of contents also available in .dvi or .ps format.
Two photos of Jim Lambek.

Introduction, 1
dvi | ps

An appreciation of Jim Lambek at McGill
Michael Barr, 2-4
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1. *-Autonomous categories: once more around the track
Michael Barr, 5-24
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2. A bicategorical approach to static modules
Renato Betti, 25-32
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3. The categorical theory of self-similarity
Peter Hines, 33-46
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4. A note on rewriting theory for uniqueness of iteration
M. Okada and P. J. Scott, 47-64
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5. Contravariant functors on finite sets and Stirling numbers
Robert Paré, 65-76
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6. Comparing coequalizer and exact completions
M. C. Pedicchio and J. Rosicky, 77-82
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7. Enriched Lawvere theories
John Power, 83-93
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8. Some epimorphic regular contexts
R. Raphael, 94-104
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9. Natural deduction and coherence for non-symmetric linearly distributive categories
Robert R. Schneck, 105-146
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* The Editors of TAC wish to thank Michael Barr, Philip Scott and Robert Seely who acted as guest editors for this special volume.

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Volume 5 - 1999

Table of contents also available in .dvi or .ps format.

1. A note on discrete Conduché fibrations
Peter Johnstone, 1-11
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2. A tensor product for Gray-categories
Sjoerd Crans, 12-69
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3. A note on the exact completion of a regular category, and its infinitary generalizations
Stephen Lack, 70-80
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4. A useful category for mixed Abelian groups
Grigore Calugareanu, 81-90
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5. Distributive laws for pseudomonads
Francisco Marmolejo, 91-147
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6. Convergence in exponentiable spaces
Claudio Pisani, 148-162
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7. Double categories, 2-categories, thin structures and connections
Ronald Brown and Ghafar Mosa, 163-175
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8. Chu-spaces, a group algebra and induced representations
Eva Schläpfer, 176-201
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9. When projective does not imply flat, and other homological anomalies
L. Gaunce Lewis, Jr., 202-250
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10. Aspects of fractional exponent functors
Anders Kock and Gonzalo Reyes, 251-265
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11. Generalized congruences -- Epimorphisms in Cat
M.Bednarczyk, A.Borzyszkowski, W.Pawlowski, 266-280
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12. Localizations of Maltsev varieties
Marino Gran and Enrico Maria Vitale, 281-291
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Volume 4 - 1998

Table of contents also available in .dvi or .ps format.

1. Pasting in multiple categories
Richard Steiner, 1-36
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2. Protomodularity, descent, and semidirect products
D. Bourn and G. Janelidze, 37-46
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3. A theory of enriched sketches
F. Borceux, C. Quinteiro and J. Rosicky, 47-72
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4. Simplicial and categorical diagrams, and their equivariant applications
Rudolf Fritsch and Marek Golasinski, 73-81
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5. A 2-categorical approach to change of base and geometric morphisms II
A.Carboni, G.M.Kelly, D.Verity and R.J.Wood, 73-136
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6. The separated extensional Chu category
Michael Barr, 137-147
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7. Applications of Peiffer pairings in the Moore complex of a simplicial group
A. Mutlu and T. Porter, 148-173
abstract | dvi | dvi.gz | ps | ps.gz | Reference

8. Freeness Conditions for 2-Crossed Modules and Complexes
A. Mutlu and T. Porter, 174-194
abstract | dvi | dvi.gz | ps | ps.gz | Reference

9. Geometric Construction of the Levi-Civita Parallelism
Anders Kock, 195-207
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10. On Generic Separable Objects
Robbie Gates, 208-248
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Volume 3 - 1997

Table of contents also available in .dvi or .ps format.

1. Higher dimensional Peiffer elements in simplicial commutative algebras,
Z. Arvasi and T. Porter, pp. 1-23
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2. Doctrines whose structure forms a fully faithful adjoint string
F. Marmolejo, pp. 23-44
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3. Note on a theorem of Putnam's
Michael Barr, pp. 45-49
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4. Lax operad actions and coherence for monoidal n-categories, A_{\infty} rings and modules
Gerald Dunn, pp. 50-84
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5. Proof theory for full intuitionistic linear logic, bilinear logic, and MIX categories
J.R.B. Cockett and R.A.G. Seely, pp. 85-131
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6. The reflectiveness of covering morphisms in algebra and geometry,
George Janelidze and Max Kelly, pp. 132-159
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7. Crossed squares and 2-crossed modules of commutative algebras
Zekeriya Arvasi, pp. 160-181
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8. Monads and interpolads in bicategories
J"urgen Koslowski, pp. 182-212
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9. On property-like structures
G. M. Kelly and Stephen Lack, pp. 213-250
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10. Closed model categories for [n,m]-types
J. Ignacio Extremiana Aldana, Luis J. Hernandez Paricio, and M. Teresa Rivas Rodriguez, pp. 251-268
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11. Multilinearity of Sketches
David B. Benson, pp. 269-277
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Volume 2 - 1996

Table of contents also available in .dvi , .ps or text format.

Editorial Notice: Robert W. Thomason 1952-1995
I. Moerdijk, pp. 1-2
dvi | ps
1. Computing crossed modules induced by an inclusion of a normal subgroup, with applications to homotopy 2-types
Ronald Brown and Christopher D. Wensley, pp. 3-16
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2. The Chu construction
Michael Barr, pp. 17-35
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3. A counterexample to a conjecture of Barr
Sarah Whitehouse, pp. 36-39
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4. An algebraic description of locally multipresentable categories
Jiri Adamek and Jiri Rosicky, pp. 40-53
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5. Finiteness of a non-abelian tensor product of groups
N. Inassaridze, pp. 54-61
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6. On quantic conuclei in orthomodular lattices
Leopoldo Roman and Rita E. ZuaZua, pp. 62-68
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7. Combinatorics of curvature and the Bianchi identity
Anders Kock, pp. 69-89
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8. Remarks on Quintessential and persistent localizations
Peter T. Johnstone, pp. 90-99
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9. Glueing Analysis for Complemented Subtoposes
Anders Kock and Till Plewe, pp. 100-112
abstract | dvi | dvi.Z | ps | ps.Z | Reference

10. A note on free regular and exact completions and their infinitary generalizations
Hongde Hu and Walter Tholen, pp. 113-132
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Volume 1 - 1995

Table of contents also available in .dvi or text format.

1. Oriented singular homology
Michael Barr, pp. 1-9
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2. Functorial and algebraic properties of Brown's P functor
Luis-Javier Hernandez-Paricio, pp. 10-53
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3. On finite induced crossed modules, and the homotopy 2-type of mapping cones
Ronald Brown and Christopher D. Wensley, pp. 54-71
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4. Kan extensions along promonoidal functors
Brian Day and Ross Street, pp. 72-77
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5. Symmetric monoidal categories model all connective spectra
R. W. Thomason, pp. 78-118
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6. Distributive adjoint strings
Robert Rosebrugh and R. J. Wood, pp. 119-145
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7. A forbidden-suborder characterization binarily-composable diagrams in double categories
Robert Dawson, pp. 146-153
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8. Categorical data-specifications
Frank Piessens and Eric Steegmans, pp. 156-173
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9. On the size of categories
Peter Freyd and Ross Street, pp. 174-181
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Copyright: The Editors of Theory and Applications of Categories

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