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

	*Fascicule* 2
		Bruno KAHN, On the Benabou-Roubaud Theorem
		Christopher TOWNSEND, A result about continuous Lattices over the Sierpinski Locale
		Luciano STRAMACCIA, Almost Cofibrations
		Marco GRANDIS, The topology of critical processes, IV (The homotopy structure)

	*Fascicule* 3
		Tim PORTER, A (Mathematical) tribute to Ronnie Brown: 1935 – 2024
		Michael HOEFNAGEL and Pierre-Alain JACQMIN, When a Matrix condition Implies the Mal'tsev Property
		Enrique RUIZ-HERNANDEZ and Pedro SOLORZANO, Connectedness Through Decidable Quotients (In memory of William Lawvere)
		Antonio M. CEGARRA, Fibrations of Double Groupoids, i: Algebraic Properties and Homotopy Sequences.

	*Fascicule* 4
		Antonio M. CEGARRA, Fibrations of Double Groupoids, II : Connections to simplicial sets and topological spaces.
		Kensuke ARAKAWA, Classification diagrams of Simplicial categories
		David KERN, All Segal objects are generalised monads in spans
		Michel VAQUIÉ, Module Cotangent Relatif
		Marco GRANDIS and Robert PARÉ, Errata for “Lax Kan extensions for double categories (on weak double categories, part IV)”

	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, 287
		SALDANA MONCADA and WEINGART, Functoriality of principal bundles and connections 325

	*Fascicule* 4
		E. CHENG & T. TRIMBLE, The universal operad acting on loop spaces, and generalisations 363 BEZHANISHVILI, CARAI, AND MORANDI, A new proof of the Joyal-Tierney Theorem 425 Tobias LENZ, Categorical models of unstable G-global Homotopy Theory 439

	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