Volume.htm


	VOLUME LXVI (2025)

	*Fascicule* 1
		Marco GRANDIS, The topology of critical processes, III (Computing Homotopy)
		G. JANELIDZE & M. SOBRAL, Topics in the categorical algebra of closure spaces
		Ulrich HÖHLE, The weak sub-object classifier axiom and modules in SUP
		Simon HENRY, A constructive account of the Kan- Quillen model structure and of Kan’s Ex°° functor








	VOLUME LXV (2024)

	*Fascicule* 1
		GRANDIS Marco The topology of critical processes, i (processes and models)
		BERTRAND Christine et DE GLAS Michel V Omega-Ensembles et ensembles empiriques revisites
		PENON Jacques L'enrichissement et ses differents points de vue,I

	Fascicule 2
		ARAUJO Manuel, Computads and String diagrams for N-Sesquicategories
		M. ABBADINI, G. BEZHANISHVILI & L. CARAI, MacNeille Completions of Subordination algebras
		LESTER Cynthia , Covers in the canonical Grothendieck Topology

	*Fascicule 3*
		PENON Jacques, L'Enrichissement et ses differents points de vue, II
		G. JANELIDZE & M. S0BRAL, Strict monadic topology, II : Descent for closure spaces
		E. RIEHL & D. VERITY, Cartesian Exponentiation and Monadicity

	*Fascicule 4*
		P.-L. CURIEN & G. LAPLANTE-ANFOSSI, Topological proofs of Categorical Coherence
		Leonid POSITSELSKI, Notes on Limits of accessible Categories
		Marco GRANDIS, The topology of critical processes, II (The fundamental category)

	VOLUME LXIV (2023)

	*Fascicule* 1
		COOK & WEISS, Limits of topological spaces as enriched categories, 3
		M. SHULMAN, The derivator of setoids, 29
		BENKHADRA & STUBBE, A logical analysis of fixpoints Theorems, 97

	*Fascicule* 2
		A. M. CEGARRA, Double groupoids and Postnkov invariants,
		P. GAUCHER, Comparing the non-unital and unital settings for directed homotopy, 176
		IKONICOFF and LEMAY, Cartesian differential comonads and new models of Cartesian differential categories, 198

	*Fascicule* 3
		T. KENNEY, Stone duality for topological convexity spaces, 243
		A. SHARMA, Picard groupoids and Gamma-categories, 287s
		SALDANA MONCADA and WEINGART, Functoriality of principal bundles and connections 325


	VOLUME LXIII (2022)

	*Fascicule* 1
		T. D. DÉCOPPET, Weak Fusion 2-categories, 3
		J. J. XARES, A pretorsion theory for the category of all categories, 25
		F. BAR, Affine connections and second-order affine structures, 35
		FATELO & MARTINS-FERREIRA, Mobi spaces and geodesics for the N-sphere, 59
		A. J. PARZYGNAT, A functorial characterization of Von Neumann entropy, 89

	*Fascicule* 2
		W. BERTRAM & J. HAUT, A functorial approach to Differential Calculus, 131
		JACQUES PENON, Une classe d'exemples de ?-caté- gories faibles au sens de Batanin, 163
		L. MOSER, M. SARAZOLA & P. VERDUGO, A 2-category model structure for double categories, 184

	*Fascicule 3*
		ANDERS KOCK, Heron's formula, and volume forms, 239
		T. CLINGMAN & L. MOSER , Bi-initial objects and bi-representations are not so different, 259
		FRANCIS BORCEUX, Jean Bénabou (1932-2022) : The man and the mathematician, 331

	*Fascicule 4*
		G. LOPEZ-CAFAGGI, Torsion theories of simplicial groups with truncated Moore complex, 343
		R.F. KAUFMANN & A.M. MEDINA-MARDONES, A combinatorial E00-algebra structure on cubical cochains and the Cartan-Serre map, 387
		JENS HEMELAER, Some toposes over which essential implies locally connected, 425


	VOLUME LXII (2021)

	*Fascicule 1*
		J. PENON, Pureté de la monade de Batanin, II
		I. DELL'AMBROGIO & J. HUGLO, On the comparison of spans and biset
		A. EHRESMANN & R. GUITART, Christian LAIR (1945-2020). Bibliographie

	*Fascicule 2*
		G. CRUTTWELL, J.-S. PACAUD LEMAY & R. LUCYSHYN-WRIGHT, Integral and Differential structure on the free C*-ring modality
		Nesta VAN DER SCHAAF, Diffeological Morita Equivalence
		E. DUBUC & R. STREET, Corrections to : A construction of 2-filtered bicolimits of categories

	*Fascicule* 3
		J. ORENDAIN, Globularly generated double categories. II: The canonical double projection
		W. RUMP, The ample closure of the category of locally compact abelian groups
		S. HASSOUN, A. SHAH & S-A. WEGNER, Examples and non-examples of integral categories and the admissible intersection property.
		P. KARAZERIS & K. TSAMIS, Regular and effective regular categories of locales

	*Fascicule 4*
		D. BOURN, A Mal'tsev glance at the fibration (- )_0: Cat E -> E of internal categories
		G. MARELLI, A sketch for derivators
		M. MENNI, A basis Theorem for 2-rigs and rig Geometry
		F. MYNARD, Order convergence and convergence in the Interval Topology in the presence of Compactoidness ,


	VOLUME LXI (2020)

	*Fascicule* 1
		D. DEWOLF & D. PRONK, A double categorical view on representations of Etendues
		J. PENON, Pureté de la monade de Batanin, I

	*Fascicule* 2
		R. STREET, Polynomials as Spans
		A. CAMPBELL & E. LANARI, On Truncated Quasi-categories
		P. GAUCHER, Flows revisited: The Model Category Structure and its left Determinedness

	*Fascicule* 3
		M. KARVONEN, Biproducts without pointedness
		P. BERTOZZINI, R. CONTI, W. LEWKEERATIYUTKUL & N. SUTHICHITRANONT, On strict Higher C*-Categories

	*Fascicule* 4
		S. DUGOWSON, Interacting open dynamics 351
		V. ARAVANTINOS-SOTIROPOULOS, Projective covers of 2-star-permutable categories
		D. J. EMMENEGGER, The fullness axiom and exact completion of homotopy categories
		D. BLAZQUEZ-SANZ, C. A. MARIN ARANGO & J. F. RUIZ CASTRILLON, A simplified categorical approach to several Galois theories
		TABLE OF CONTENTS OF VOLUME LXI


	VOLUME LX (2019)

	*Fascicule* 1
		M. MENNI, Every sufficiently cohesive topos is infinitesimally generated
		T. COTTRELL, A study of Penon weak n-categories, Part 2: A multisimplicial nerve construction

	Fascicule 2
		NAKAOKA & PALU, Extriangulated categories, Hovey twin cotorsion pairs and model structures.
		HESSE & VALENTINO, The Serre automorphism via homotopy actions and the cobordism hypothesis for oriented manifolds

	*Fascicule 3*
		E. DUBUC & A. KOCK, Column Symmetric Polynomials
		M. GRANDIS & R. PARE, Persitent Double Limits
		J. PENON, Compatibilité entre deux conceptions d'Algèbre sur une Opérade
		W. THOLEN, Lax Distributive Laws for Topology, I

	*Fascicule 4*
		P.-A. JACQMIN, Partial algebras and Embedding Theorems for (weakly) Mal'tsev Categories and Matrix conditions
		S. B. NIEFIELD & D.A. PRONK, Internal groupoids and Exponentiability
		R. RODELO & I. TCHOFFO NGUEFEU, Goursat Completions
		F. MARMOLEJO & M. MENNI, Level Epsilon
		TABLE of CONTENT of Volume LX 2019


	VOLUME LIX (2018)


	*Fascicule* 1
		A.C. EHRESMANN, The 60 first years of the "Cahiers"
		COCKETT & CRUTTWELL, Differential bundles and fibrations for tangent categories

	Fascicule 2
		ROBERTS & VOZZO, Smooth loop stacks of differentiable stacks and gerbes, 95
		D. BOURN, Suprema of equivalence relations and non-regular Goursat categories, 142

	*Fascicule* 3
		T. COTTRELL, A study of Penon n-weak categories, Part I: Monad Interleaving, 197
		FIORENZA, SCHREIBER & VALENTINO, Central Extensions of Mapping Class Groups from Characteristic Classes 260
		NEW BOOKS, 299

	Fascicule 4
		HOFMANN & STUBBE, Topology from enrichment: The curious case of partial metrics, 307
		C. VASILAKOPOULOU, On enriched fibrations, 354
		HAMMACK & KAINEN, Cooperative properties and connected sum, 388
		TAC, Contents of Volume 32 (2017), 405


	Volume LVIII (2017)


	*Fascicule* 1
		GRANDIS & PARE, Adjoints for multiple categories (on weak and lax multiple categories, III), 3
		M. BARR, On certain topological *-autonomous categories, 49
		R. GUITART, Autocategories: III. Representations, and expansions of previous examples, 67

	*Fascicule* 2
		MAY, ZAKHAREVICH AND STEPHAN, The homotopy theory of equivariant posets, 82
		A. KOCK, Affine combinations in affine schemes, 115
		AOKI & KURIBAYASHI, On the category of stratifolds, 131

	*Fascicule* 3&4
		AVERTISSEMENT/ANNOUNCEMENT, 163
		GRANDIS, G. JANELIDZE & MARKI, Two- and one-dimensional combinatorial exactness structures in Kurosh-Amitsur radical theory, I, 165
		Sean TULL, Condition for an n-permutable category to be Mal'tsev, 189
		GRANDIS & PARE, A multiple category of multiple lax-categories, 195
		S. VICKERS, Arithmetic universes and classifying toposes, 213


	Volume LVII (2016)

	Fascicule 1
		CHRISTENSEN & ENXIN WU, Tangent spaces and tangent bundles for diffeological spaces, 3
		HOSSEINI & QASEMI NEZHAD, Equalizers in Kleisli categories, 51

	Fascicule 2
		T. JANELIDZE-GRAY, Calculus of E-Relations in incomplete relatively regular categories, 83
		GRANDIS & PARE, An introduction to multiple categories (On weak and lax multiple categories, I) 103

	**Fascicule 3**
		GRANDIS & PARE, Limits in multiple categories (On weak and lax multiple categories, II), 163
		W. RUMP, The completion of a quantum B-algebra, 203
		N. GILL, On a conjecture of Degos, 229

	Fascicule 4
		BLUTE, LUCYSHYN-WRIGHT & O'NEILL Derivations in codifferential categories, 243
		J. BOURKE, Note on the construction of globular weak omega-groupoids from types, topological spaces..., 281
		W. THOLEN, A mathematical tribute to Reinhard Börger, 295


	Volume LVI (2015)
	Fascicule 1
		A. KOCK, Duality for generic algebras 2
		J. CH ICHE, Théories homotopiques des 2-catégories 16
		A. E HRESMANN, Parcours d'un Topologue-Catégoricien : Jean-Marc Cordier (1946-2014) 76

	Fascicule 2
		D. ARA, Structures de catégorie de modèles à la Thomason sur la catégorie des 2 -catégories strictes 83 S. A. S OLOVYOV. Localification procedure for affine systems 109 E. MEHDI-N EZHAD, Abstract annihilation graphs 133 L. STRAMAC CIA, The coherent category of inverse systems 147

	Fascicule 3
		BARR, KENNISON &RAPHAEL, On reflective and coreflective hulls 162 SHEN & THOLEN, Limits and colimits of quantaloid-enriched categories and their distri bu tors 209 CARLETTI& GRANDIS, Genera lised pushouts, connected colimits and codiscrete groupoids 232

	Fascicule 4
		P. GAUCHER, The geometry of cubic al and regular transition systems 242 COCKETT & CRUTTWELL. The Jacob i id ent ity for tangent categories 301 RESUMES des articles parus dans le Volume LVI 317


	VOLUME LV (2014)
	*Fascicule 1*
		DESCOTTE & DUBUC, A theory of 2-pro-objects 2 BEZHANISHVILI & HARDING , Stable compactifications of frames 37 R. GUITART, Autocategories: I. A common setting for knots and 2- catgories 66

	*Fascicule 2*
		MARTINS-FERREIRA& VAN DER LINDEN, Categories vs. groupoids via generalised Mal’tsev properties 83
		M. MENNI, Sufficient cohesion over atomic toposes 113
		R. GUITART , Autocategories: II. Autographic algebras 151

	Fascicule 3 :
		D. GARRAWAY, Q-valued sets and relational sheaves 161
		ALLOUCH& SIM PSON, Classification des matrices associées aux catégories finies 205

	*Fascicule 4*
		EHRESMANN, GRAN & GUITART, New editorial Board of the "Cahiers" 242 LACK & STREET, On monads and warpings 244 BERTRAM &SOUVAY, A general construction of Weil functors 267 TAC : Theory and Applications of Categories 314 RESUMES des articles parus dans le Volu me LV 317


	VOLUME LIV (2013)
	*Fascicule 1*
		E. CHENG, A direct proof that the category of 3-computads is not cartesian closed 3
		R. GUITART, Trijunctions and triadic Calois connections 13
		J. E. BERGNER, Derived Hall algebras for stable homotopy theories 28
		J.-Y. DEGOS, Linear groups and primitive polynomials over Fp 56
		C. KACHOUR, Correction to the paper "Operadic definition of the non-strict cells" (2011) 75

	*Fascicule 2 : 1er fascicule dédié à René Guitart*
		FOREWORD. PUBLICATIONS de René GUITART 85 M. GRANDIS, Adjoints for symmetric cubical categories (on weak cubical categories, III) 91 S. DUGOWSON, Espaces connectifs : représentations, feuilletages, ordres et difféologies 137

	*Fascicule 3 : 2ème fascicule dédié à René Guitart*
		BOURN, MARTINS-FERREIRA & VAN DER LINDEN, A characterisation of the "Smith is Huq" condition in the pointed Mal'tsev setting 163 EVERAERT, GOEDECKE & VAN DER LINDEN, The fundamental group functor as a Kan extension 184 J.-Y. DEGOS, Borroméanité du groupe pulsatif 211 ABBAD & VITALE, Faithful calculus of fractions 221

	*Fascicule 4 : 3ème fascicule dédié à René Guitart*
		D. BOURN, Normality, commutation and suprema in the regular Mal'tsev and protomodular settings 243
		BARANOV & SOLOVIEV, Equality in Lambda Calculus. Weak universality in Category Theory and reversible computations 264
		J.-P. LAFFINEUR, Esquissabilite projective des espaces difféologiques 292
		A. EHRESMANN, Parcours d'un mathématicien aux multiples facettes 298
		RESUMES des articles parus dans le Volume LIV 317


	VOLUME LIII (2012)
	*Fascicule 1*
		G. MALTSINIOTIS, Carrés exacts homotopiques et dérivateurs 3
		E. MANES, Varieties generated by compact metric spaces 64

	*Fascicule 2*
		M.L. del HOYO, On the homotopy type of a (co)fibred category 82
		M. GRANDIS, A lax symmetric cubical category associated to a directed space 115

	*Fascicule 3*
		K. WALDORF, Transgression to loop spaces and its inverse, I: Diffeological bundles and fusion maps 162
		BLUTE, EHRHARD & TASSON, A convenient differential category 211
		R. GUITART, Pierre DAMPHOUSSE, mathématicien (1947-2012) 233

	*Fascicule 4*
		FIORE, GAMBINO & J. KOCK, Double adjunctions and free monads 242 BRODOLONI & STRAMACCIA, Saturation for classes of morphisms 308 RESUMES des articles parus dans le Volume LIII


	VOLUME LII (2011)

	*Fascicule 1*
		KASANGIAN, METERE & VITALE, The Ziqqurath of exact sequences of n-groupoids 2
		M. GRANDIS, Singularities and regular paths (an elementary introduction to smooth homotopy) 45
		HARTL & LOISEAU, A characterization of finite cocomplete homological and of semi-abelian categories 77

	*Fascicule 2*
		CHENG & GURSKI, The periodic table of n-categories II: Degenerate tricategories 82 BARILE, BARONE And TULCZYJEW, The total exterior differential 126

	*Fascicule 3*
		G. SEAL, On the monadic nature of categories of ordered sets 163
		BROWN & STREET, Covering morphisms of crossed complexes and of cubical omega-groupoids are closed under tensor product 188
		KENNEY & PARE, Categories as monoids in Span, Rel and Sup 209

	*Fascicule 4*
		DUBUC & YUHJTMAN, A construction of 2-cofiltered bilimits of topoi 242 BLUTE, COCKETT, PORTER & SEELY, Kähler categories 253 C. KACHOUR, Operadic definition of non-strict cells 269 RESUMES des articles parus dans le Volume LII 317


	VOLUME LI (2010)
	*Fascicule 1: 3nd issue dedicated to F. Borceux*
		ADAMEK & SOUSA, On quasi-equations on loc ally presentable categories II:Alogic 3 MC CURDY & STREET,What separable Frobenius monoidal functors preserve? 29 I. STUBBE, "Hausdorff distance" via conical cocompletion 51 Theory and Applications of Categories: Information on the Journal TAC 77

	Fascicule 2: 3nd issue dedicated to F. Borceux
		E. VITALE, Bipullbacks and calculus of fractions 83
		JANELIDZE, MARKI, THOLEN & URSINI, Ideal determined categories 115
		M.M. CLEMENTINO & GUTIERRES, On regular and homological closure operators 127
		EVERAERT & VAN DER LINDEN, A note on double central extensions in exact Mal'tsev categories 143

	Fascicule 3
		J.R.A. GRAY, Representability of the strict extension functor for categories of generalized Lie algebras (dedicated to F.Borceux) 162 E. BURRONI & PENON, Representation of metric jets (dedicated to F.Borceux) 182 CHENG & MAKKAI, A Note on the Penon definition of n-category 205 A. KOCK, Abstract projective lines 224

	*Fascicule 4*
		W. RUMP, Objective categories and schemes 243
		EBRAHIMI, MAHMOUDI & RASOULI, Characterizing pomonoids S by complete S-posets 272
		S. DUGOWSON, On connectivity spaces 282

	VOLUME L (2009)
	Fascicule 1: 3nd issue dedicated to J. Adámek
		KARAZERIS & VELEBIL, Representability relative to a doctrine 3 MILIUS & MOSS, Equational properties of recursive program scheme solutions 23 L. SOUSA, On boundedness and small-orthogonality classes 67

	*Fascicule 2*
		E. CHENG & M. MAKKAI, A note on the Penon definition of n-category 83 M. GRANDIS, The role of symmetries in cubical sets and cubical categories 102 R. GUITART, Klein's group as a borromean object 144 M. BUNGE, J. FUNK, M. JIBLADZE & T. STREICHER, On the paper "Definable completeness" 156 Information on the electronic Journal TAC 155

	Fascicule 3: 1st issue dedicated to F. Borceux
		FOREWORD 163 M. GRAN & G. JANELIDZE, Covering morphisms and normal extensions in Galois structures associated with Galois theories 171 R. BÖRGER & R. KEMPER, Infinitary linear combinations in reduced cotorsion modules 189 J. ROSICKY, Are all cofibrantly generated model categories combinatorial? 233 D. BOURN & G. JANELIDZE, Centralizers in action accessible categories 211

	*Fascicule 4: 2nd issue dedicated to F. Borceux*
		M. GRANDIS, Limits in symmetric cubical categories (On weak cubical categ ories, II) 242
		J. ADAMEK & M. HEBERT, On quasi-equations in locally presentable categories 273
		Z. JANELIDZE, Closedness properties of internal relations, VI: approximate operations 298

Fascicule 3