×

Theory and Applications of Categories

Short Title: Theory Appl. Categ.
Publisher: Mount Allison University, Department of Mathematics and Computer Science, Sackville, NB
ISSN: 1201-561X/e
Online: http://www.tac.mta.ca/tac/
http://www.emis.de/journals/TAC/
Comments: Indexed cover-to-cover; Published electronic only as of Vol. 1 (1995). This journal is available open access.
Documents Indexed: 854 Publications (since 1995)
References Indexed: 255 Publications with 8,466 References.
all top 5

Authors

24 Barr, Michael
22 Rosický, Jiří
19 Wood, Richard J.
18 Adámek, Jiří
17 Lack, Stephen
17 Street, Ross H.
15 Bourn, Dominique
14 Cockett, J. Robin B.
14 Janelidze, George
14 Kennison, John F.
14 Raphael, Robert M.
13 Gran, Marino
12 Niefield, Susan B.
11 Baez, John C.
11 Grandis, Marco
11 Kelly, Gregory Maxwell
11 Menni, Matías
11 van der Linden, Tim
10 Seely, Robert A. G.
10 Tholen, Walter
10 Vitale, Enrico Maria
9 Gray, James Richard Andrew
9 Janelidze, Zurab
9 Marmolejo, Francisco
9 Paré, Robert
9 Shulman, Michael A.
9 Weber, Mark
8 Gaucher, Philippe
8 Pronk, Dorette A.
8 Rosebrugh, Robert D.
7 Brown, Ronald
7 Clementino, Maria Manuel
7 Funk, Jonathon R.
7 Hofstra, Pieter J. W.
7 Kock, Anders
7 Lawvere, Francis William
7 Leinster, Tom
7 Rodelo, Diana
6 Borceux, Francis
6 Cruttwell, G. S. H.
6 Garner, Richard
6 Johnstone, Peter T.
6 Lucyshyn-Wright, Rory B. B.
6 Mesablishvili, Bachuki
6 Porter, Timothy
6 Walters, Robert F. C.
5 Bezhanishvili, Guram
5 Everaert, Tomas
5 Fong, Brendan
5 Garzón, Antonio R.
5 Gurski, Nick
5 Heunen, Chris
5 Hofmann, Dirk
5 Kaliszewski, Steven Paul
5 Koslowski, Jürgen
5 Lyubashenko, Volodymyr V.
5 Montoli, Andrea
5 Pisani, Claudio
5 Quigg, John C.
5 Schweigert, Christoph
5 Steiner, Richard J.
5 Velebil, Jiří
4 Blute, Richard F.
4 Böhm, Gabriella
4 Cheng, Eugenia
4 Courser, Kenny
4 Dawson, Robert James MacGregor
4 Freyd, Peter J.
4 Janelidze-Gray, Tamar
4 Karazeris, Panagis
4 Kenney, Toby
4 Martins-Ferreira, Nelson
4 Metere, Giuseppe
4 Milius, Stefan
4 Morandi, Patrick J.
4 Shen, Lili
4 Shoikhet, Boris B.
4 Sousa, Lurdes
4 Stubbe, Isar
4 Szyld, Martín
4 Verity, Dominic
4 Voevodskiĭ, Vladimir Aleksandrovich
3 Batanin, Michael A.
3 Bédos, Erik
3 Bunge, Marta C.
3 Caramello, Olivia
3 Carboni, Aurelio
3 Cegarra, Antonio Martínez
3 Chikhladze, Dimitri
3 Cigoli, Alan S.
3 de Paiva, Valeria
3 Dubuc, Eduardo J.
3 Egger, Jeffrey M.
3 Fritz, Tobias
3 Golasiński, Marek
3 Guo, Xiuzhan
3 Hasegawa, Masahito
3 Hébert, Michel
3 Jardine, John Frederick
3 Koudenburg, Seerp Roald
...and 561 more Authors
all top 5

Fields

805 Category theory; homological algebra (18-XX)
151 Algebraic topology (55-XX)
88 Mathematical logic and foundations (03-XX)
68 Group theory and generalizations (20-XX)
63 General algebraic systems (08-XX)
56 Order, lattices, ordered algebraic structures (06-XX)
54 Associative rings and algebras (16-XX)
53 General topology (54-XX)
42 Computer science (68-XX)
27 Algebraic geometry (14-XX)
27 Functional analysis (46-XX)
19 Manifolds and cell complexes (57-XX)
18 Commutative algebra (13-XX)
18 Nonassociative rings and algebras (17-XX)
17 Differential geometry (53-XX)
14 \(K\)-theory (19-XX)
14 Topological groups, Lie groups (22-XX)
12 Combinatorics (05-XX)
12 Global analysis, analysis on manifolds (58-XX)
12 Quantum theory (81-XX)
10 Field theory and polynomials (12-XX)
8 Dynamical systems and ergodic theory (37-XX)
6 History and biography (01-XX)
6 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
5 General and overarching topics; collections (00-XX)
5 Several complex variables and analytic spaces (32-XX)
5 Geometry (51-XX)
4 Probability theory and stochastic processes (60-XX)
4 Information and communication theory, circuits (94-XX)
3 Number theory (11-XX)
3 Operations research, mathematical programming (90-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Real functions (26-XX)
2 Measure and integration (28-XX)
2 Convex and discrete geometry (52-XX)
2 Systems theory; control (93-XX)
1 Ordinary differential equations (34-XX)
1 Partial differential equations (35-XX)
1 Difference and functional equations (39-XX)
1 Abstract harmonic analysis (43-XX)
1 Statistics (62-XX)
1 Mechanics of particles and systems (70-XX)
1 Mechanics of deformable solids (74-XX)
1 Biology and other natural sciences (92-XX)

Publications by Year

Citations contained in zbMATH Open

620 Publications have been cited 4,026 times in 2,222 Documents Cited by Year
Higher-dimensional algebra. VI: Lie 2-algebras. Zbl 1057.17011
Baez, John C.; Crans, Alissa S.
118
2004
Higher-dimensional algebra. V: 2-Groups. Zbl 1056.18002
Baez, John C.; Lauda, Aaron D.
106
2004
Categorical structures enriched in a quantaloid: categories, distributors and functors. Zbl 1079.18005
Stubbe, Isar
69
2005
Protomodularity, descent, and semidirect products. Zbl 0890.18003
Bourn, D.; Janelidze, G.
51
1998
Categorical structures enriched in a quantaloid: tensored and cotensored categories. Zbl 1119.18005
Stubbe, Isar
49
2006
Characterization of protomodular varieties of universal algebras. Zbl 1021.08003
Bourn, Dominique; Janelidze, George
45
2003
Framed bicategories and monoidal fibrations. Zbl 1192.18005
Shulman, Michael
43
2008
Composing PROPs. Zbl 1062.18007
Lack, Stephen
38
2004
On the representability of actions in a semi-abelian category. Zbl 1103.18006
Borceux, F.; Janelidze, G.; Kelly, G. M.
37
2005
Notes on enriched categories with colimits of some class. Zbl 1082.18004
Kelly, G. M.; Schmitt, V.
35
2005
Centrality and normality in protomodular categories. Zbl 1004.18004
Bourn, Dominique; Gran, Marino
34
2001
Enriched Lawvere theories. Zbl 0943.18003
Power, John
33
1999
The pointed subobject functor, \(3\times 3\) lemmas, and subtractivity of spans. Zbl 1234.18009
Janelidze, Zurab
33
2010
Localic completion of generalized metric spaces I. Zbl 1083.54019
Vickers, Steven
32
2005
Connections on non-abelian gerbes and their holonomy. Zbl 1279.53024
Schreiber, Urs; Waldorf, Konrad
31
2013
TFT Construction of RCFT correlators. V: Proof of modular invariance and factorisation. Zbl 1151.81038
Fjelstad, Jens; Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph
30
2006
Simplicial matrices and the nerves of weak \(n\)-categories I: Nerves of bicategories. Zbl 1046.18009
Duskin, John W.
29
2001
Cartesian differential categories. Zbl 1262.18004
Blute, R. F.; Cockett, J. R. B.; Seely, R. A. G.
29
2009
Monads of effective descent type and comonadicity. Zbl 1085.18003
Mesablishvili, Bachuki
29
2006
Distributive laws for pseudomonads. Zbl 0919.18004
Marmolejo, F.
26
1999
Proof theory for full intuitionistic linear logic, bilinear logic, and MIX categories. Zbl 0879.03022
Cockett, J. R. B.; Seely, R. A. G.
26
1997
A note on actions of a monoidal category. Zbl 1009.18005
Janelidze, G.; Kelly, G. M.
24
2001
Familial 2-functors and parametric right adjoints. Zbl 1152.18005
Weber, Mark
24
2007
Doctrines whose structure forms a fully faithful adjoint string. Zbl 0878.18004
Marmolejo, F.
23
1997
Frobenius algebras and ambidextrous adjunctions. Zbl 1092.18003
Lauda, Aaron D.
23
2006
Canonical and op-canonical lax algebras. Zbl 1088.18006
Seal, Gavin J.
23
2005
Homotopy theory for algebras over polynomial monads. Zbl 1368.18006
Batanin, M. A.; Berger, C.
23
2017
On property-like structures. Zbl 0935.18005
Kelly, G. M.; Lack, Stephen
22
1997
More morphisms between bundle gerbes. Zbl 1166.55005
Waldorf, Konrad
22
2007
Cubical sets and their site. Zbl 1022.18009
Grandis, Marco; Mauri, Luca
22
2003
Baer invariants in semi-abelian categories I: General theory. Zbl 1065.18011
Everaert, T.; Van der Linden, T.
22
2004
Baer invariants in semi-abelian categories II: Homology. Zbl 1065.18012
Everaert, T.; Van der Linden, T.
22
2004
Introduction to coalgebra. Zbl 1080.18005
Adámek, Jiří
22
2005
\(\mathfrak V\)-Cat is locally presentable or locally bounded if \(\mathfrak V\) is so. Zbl 1003.18008
Kelly, G. M.; Lack, Stephen
21
2001
Opmonoidal monads. Zbl 1018.18006
McCrudden, Paddy
21
2002
Categories in control. Zbl 1316.18009
Baez, John C.; Erbele, Jason
21
2015
Algebraically coherent categories. Zbl 1366.18005
Cigoli, Alan S.; Gray, James R. A.; Van der Linden, Tim
21
2015
Pure morphisms of commutative rings are effective descent morphisms for modules. A new proof. Zbl 0937.13002
Mesablishvili, Bachuki
20
2000
A survey of definitions of \(n\)-category. Zbl 0987.18007
Leinster, Tom
20
2002
Categorical representations of categorical groups. Zbl 1108.18003
Barrett, John W.; Mackaay, Marco
20
2006
On sifted colimits and generalized varieties. Zbl 0971.18004
Adámek, Jiří; Rosický, Jiří
20
2001
Higher dimensional algebra. VII: Groupoidification. Zbl 1229.18003
Baez, John C.; Hoffnung, Alexander E.; Walker, Christopher D.
20
2010
Approximable concepts, Chu spaces, and information systems. Zbl 1111.68132
Zhang, Guo-Qiang; Shen, Gongqin
19
2006
Elementary quotient completion. Zbl 1288.03048
Maietti, Maria Emilia; Rosolini, Giuseppe
19
2013
Commutator theory in strongly protomodular categories. Zbl 1068.18006
Bourn, Dominique
19
2004
Generic morphisms, parametric representations and weakly cartesian monads. Zbl 1062.18008
Weber, Mark
19
2004
Pseudogroupoids and commutators. Zbl 1008.18006
Janelidze, George; Pedicchio, M. Cristina
18
2001
Action accessibility for categories of interest. Zbl 1307.18015
Montoli, Andrea
18
2010
A compositional framework for passive linear networks. Zbl 1402.18005
Baez, John C.; Fong, Brendan
18
2018
Compact closed bicategories. Zbl 1356.18003
Stay, Michael
18
2016
Generalized Brown representability in homotopy categories. Zbl 1091.18002
Rosický, Jiří
18
2005
The double powerlocale and exponentiation: A case study in geometric logic. Zbl 1061.06026
Vickers, Steven
18
2004
Approximate Mal’tsev operations. Zbl 1172.18001
Bourn, Dominique; Janelidze, Zurab
18
2008
Normal functors and strong protomodularity. Zbl 0947.18004
Bourn, Dominique
17
2000
Tannaka-Krein duality for compact quantum homogeneous spaces. I: General theory. Zbl 1337.46045
De Commer, Kenny; Yamashita, Makoto
17
2013
Decorated cospans. Zbl 1351.18003
Fong, Brendan
17
2015
Balanced coalgebroids. Zbl 0960.18005
Mccrudden, Paddy
16
2000
The theory and practice of Reedy categories. Zbl 1302.55014
Riehl, Emily; Verity, Dominic
16
2014
Injective hulls of partially ordered monoids. Zbl 1259.06019
Lambek, J.; Barr, Michael; Kennison, John F.; Raphael, R.
16
2012
Skew monoidales, skew warpings and quantum categories. Zbl 1252.18016
Lack, Stephen; Street, Ross
16
2012
Codensity and the ultrafilter monad. Zbl 1273.18009
Leinster, Tom
16
2013
Closedness properties of internal relations. I. A unified approach to Mal’tsev, unital and subtractive categories. Zbl 1104.18002
Janelidze, Zurab
15
2006
A unified framework for generalized multicategories. Zbl 1220.18003
Cruttwell, G. S. H.; Shulman, Michael A.
15
2010
Generic commutative separable algebras and cospans of graphs. Zbl 1087.18003
Rosebrugh, R.; Sabadini, N.; Walters, R. F. C.
15
2005
Resolutions by Polygraphs. Zbl 1020.18001
Métayer, François
15
2003
Cartesian differential storage categories. Zbl 1330.18009
Blute, R.; Cockett, J. R. B.; Seely, R. A. G.
15
2015
Double categories, 2-categories, thin structures and connections. Zbl 0918.18005
Brown, Ronald; Mosa, Ghafar H.
14
1999
Symmetric monoidal categories model all connective spectra. Zbl 0876.55009
Thomason, R. W.
14
1995
Axiomatic cohesion. Zbl 1123.18001
Lawvere, F. William
14
2007
Internal crossed modules and Peiffer condition. Zbl 1315.18012
Mantovani, Sandra; Metere, Giuseppe
14
2010
Hopf monoidal comonads. Zbl 1250.18006
Chikhladze, Dimitri; Lack, Stephen; Street, Ross
14
2010
A convenient category for directed homotopy. Zbl 1157.18003
Fajstrup, L.; Rosický, J.
14
2008
Weakly Mal’cev categories. Zbl 1166.18005
Martins-Ferreira, N.
14
2008
Exponentiability in categories of lax algebras. (Dedicated to Nico Pumplün on the occasion of his seventieth birthday). Zbl 1032.18002
Clementino, Maria Manuel; Hofmann, Dirk; Tholen, Walter
14
2003
Polynomials in categories with pullbacks. Zbl 1330.18002
Weber, Mark
14
2015
Biequivalences in tricategories. Zbl 1252.18013
Gurski, Nick
14
2012
Bounded Archimedean \(\ell\)-algebras and Gelfand-Neumark-Stone duality. Zbl 1314.06020
Bezhanishvili, Guram; Morandi, Patrick J.; Olberding, Bruce
14
2013
Categories enriched over a quantaloid: Isbell adjunctions and Kan adjunctions. Zbl 1273.18022
Shen, Lili; Zhang, Dexue
14
2013
Vector fields and flows on differentiable stacks. Zbl 1206.37009
Hepworth, Richard
13
2009
Homology of \(n\)-fold groupoids. Zbl 1229.18014
Everaert, Tomas; Gran, Marino
13
2010
Isomorphisms between left and right adjoints. Zbl 1042.18008
Fausk, H.; Hu, P.; May, J. P.
13
2003
Operads in higher-dimensional category theory. Zbl 1065.18006
Leinster, Tom
13
2004
Abstract physical traces. Zbl 1065.18005
Abramsky, Samson; Coecke, Bob
13
2005
Differential restriction categories. Zbl 1260.14004
Cockett, J. R. B.; Cruttwell, G. S. H.; Gallagher, J. D.
13
2011
On actions and strict actions in homological categories. Zbl 1275.18012
Hartl, Manfred; Loiseau, Bruno
13
2012
Simplicial nerve of an \(\mathcal A_\infty\)-category. Zbl 1360.18023
Faonte, Giovanni
13
2017
Factorization systems for symmetric cat-groups. Zbl 0964.18002
Kasangian, S.; Vitale, E. M.
12
2000
Central extensions in Mal’tsev varieties. Zbl 0956.08002
Janelidze, G.; Kelly, G. M.
12
2000
The reflectiveness of covering morphisms in algebra and geometry. Zbl 0866.18004
Janelidze, G.; Kelly, G. M.
12
1997
The Hopf algebra of Möbius intervals. Zbl 1236.18001
Lawvere, F. W.; Menni, M.
12
2010
Comparative smootheology. Zbl 1220.18013
Stacey, Andrew
12
2011
Higher-dimensional categories with finite derivation type. Zbl 1190.18002
Guiraud, Yves; Malbos, Philippe
12
2009
Monads on dagger categories. Zbl 1378.18003
Heunen, Chris; Karvonen, Martti
12
2016
On Yetter’s invariant and an extension of the Dijkgraaf-Witten invariant to categorical groups. Zbl 1119.18009
Martins, Joao Faria; Porter, Timothy
12
2007
On extensions of lax monads. Zbl 1085.18006
Clementino, Maria Manuel; Hofmann, Dirk
12
2004
A C-system defined by a universe category. Zbl 1436.03311
Voevodsky, Vladimir
12
2015
Applications of Peiffer pairings in the Moore complex of a simplicial group. Zbl 0917.18006
Mutlu, A.; Porter, T.
11
1998
A homotopy double groupoid of a Hausdorff space. Zbl 0986.18010
Brown, Ronald; Hardie, Keith A.; Kamps, Klaus Heiner; Porter, Timothy
11
2002
An embedding theorem for Hilbert categories. Zbl 1181.18004
Heunen, Chris
11
2009
Internal choice holds in the discrete part of any cohesive topos satisfying stable connected codiscreteness. Zbl 1375.18017
Lawvere, F. W.; Menni, M.
11
2015
Q-system completion is a 3-functor. Zbl 07467858
Chen, Quan; Penneys, David
1
2022
Every elementary higher topos has a natural number object. Zbl 1464.18006
Rasekh, Nima
2
2021
Locally anisotropic toposes. II. Zbl 1467.18005
Funk, Jonathon; Hofstra, Pieter
1
2021
Algebraic exponentiation for Lie algebras. Zbl 1467.18018
García-Martínez, Xabier; Gray, James R. A.
1
2021
Dependent products and 1-inaccessible universes. Zbl 1466.18015
Lo Monaco, Giulio
1
2021
The Moore complex of a simplicial cocommutative Hopf algebra. Zbl 1466.16028
Emir, Kadir
1
2021
A remarkable aspect of internal groupoids in regular Mal’tsev categories. Zbl 1482.18001
Bourn, Dominique
1
2021
Left properness of flows. Zbl 1481.18027
Gaucher, Philippe
1
2021
Monoidal Grothendieck construction. Zbl 1442.18016
Moeller, Joe; Vasilakopoulou, Christina
6
2020
Classification of constructible cosheaves. Zbl 1442.32039
Curry, Justin; Patel, Amit
5
2020
The law of excluded middle in the simplicial model of type theory. Zbl 1452.03038
Kapulkin, Chris; Lefanu Lumsdaine, Peter
4
2020
The 2-Chu-Dialectica construction and the polycategory of multivariable adjunctions. Zbl 1430.18019
Shulman, Michael
4
2020
\(\overline{\operatorname{Spec}\mathbb{Z}}\) and the Gromov norm. Zbl 1444.16061
Connes, Alain; Consani, Caterina
3
2020
Structured cospans. Zbl 1451.18008
Baez, John C.; Courser, Kenny
3
2020
Information structures and their cohomology. Zbl 1448.55011
Vigneaux, Juan Pablo
2
2020
Braided skew monoidal categories. Zbl 1431.18012
Bourke, John; Lack, Stephen
2
2020
\(L'\)-localization in an \(\infty\)-topos. Zbl 1439.18024
Vergura, Marco
2
2020
A new Galois structure in the category of internal preorders. Zbl 1435.18009
Facchini, Alberto; Finocchiaro, Carmelo; Gran, Marino
2
2020
The folk model category structure on strict \(\omega\)-categories is monoidal. Zbl 1443.18008
Ara, Dimitri; Lucas, Maxime
2
2020
An intrinsic approach to the non-abelian tensor product via internal crossed squares. Zbl 1467.18012
di Micco, Davide; Van der Linden, Tim
2
2020
The word problem for double categories. Zbl 1444.18021
Delpeuch, Antonin
1
2020
Completely distributive enriched categories are not always continuous. Zbl 1444.18007
Lai, Hongliang; Zhang, Dexue
1
2020
Exact sequences in the enchilada category. Zbl 1452.46053
Eryüzlü, M.; Kaliszewski, S.; Quigg, John
1
2020
Symmetric monoidal categories and \(\Gamma\)-categories. Zbl 1440.18033
Sharma, Amit
1
2020
Orbifolds of Reshetikhin-Turaev TQFTs. Zbl 1440.57016
Carqueville, Nils; Runkel, Ingo; Schaumann, Gregor
1
2020
Multiple vector bundles: cores, splittings and decompositions. Zbl 1442.53016
Heuer, Malte; Jotz Lean, Madeleine
1
2020
Network models. Zbl 1442.18014
Baez, John C.; Foley, John; Moeller, Joe; Pollard, Blake S.
1
2020
Cocompletion of restriction categories. Zbl 1441.18005
Garner, Richard; Lin, Daniel
1
2020
Weak model categories in classical and constructive mathematics. Zbl 1445.55013
Henry, Simon
1
2020
Lax limits of model categories. Zbl 1440.18047
Harpaz, Yonatan
1
2020
A recipe for black box functors. Zbl 1442.18043
Fong, Brendan; Sarazola, Maru
1
2020
Cohesive toposes of sheaves on monoids of continuous endofunctions of the unit interval. Zbl 1441.18014
Turcio, Luis Jesús
1
2020
Segal enriched categories and applications. Zbl 1443.18002
Bacard, Hugo V.
1
2020
Internal split opfibrations and cofunctors. Zbl 1456.18008
Clarke, Bryce
1
2020
Formal composition of hybrid systems. Zbl 1448.18005
Culbertson, Jared; Gustafson, Paul; Koditschek, Daniel E.; Stiller, Peter F.
1
2020
On bicolimits of \(C^*\)-categories. Zbl 1448.18030
Antoun, Jamie; Voigt, Christian
1
2020
Internal partial combinatory algebras and their slices. Zbl 1457.03079
Zoethout, Jetze
1
2020
Majority categories. Zbl 1411.18002
Hoefnagel, Michael Anton
8
2019
Involutive categories, colored \(\ast\)-operads and quantum field theory. Zbl 1406.18005
Benini, Marco; Schenkel, Alexander; Woike, Lukas
7
2019
A probability monad as the colimit of spaces of finite samples. Zbl 1410.60007
Fritz, Tobias; Perrone, Paolo
5
2019
Cluster-tilting subcategories in extriangulated categories. Zbl 1408.18029
Zhou, Panyue; Zhu, Bin
5
2019
Categorification of pre-Lie algebras and solutions of 2-graded classical Yang-Baxter equations. Zbl 1408.17009
Sheng, Yunhe
4
2019
Products and coequalizers in pointed categories. Zbl 1430.08002
Hoefnagel, Michael
4
2019
Limits in dagger categories. Zbl 1412.18003
Heunen, Chris; Karvonen, Martti
3
2019
Six operations formalism for generalized operads. Zbl 1430.18016
Ward, Benjamin C.
3
2019
The tangent bundle of a model category. Zbl 1426.55008
Harpaz, Yonatan; Nuiten, Joost; Prasma, Matan
3
2019
On finitary functors. Zbl 1470.18006
Adámek, Jiri; Milius, Stefan; Sousa, Lurdes; Wissmann, Thorsten
3
2019
Affine geometric spaces in tangent categories. Zbl 1444.18015
Blute, R. F.; Cruttwell, G. S. H.; Lucyshyn-Wright, R. B. B.
2
2019
The dual of compact ordered spaces is a variety. Zbl 1446.18003
Abbadini, Marco
2
2019
Distributive laws between the Three Graces. Zbl 1448.18029
Bremner, Murray; Markl, Martin
2
2019
The formal theory of multimonoidal monads. Zbl 1410.18007
Böhm, Gabriella
1
2019
A note on the categorical congruence distributivity. Zbl 07064373
Bourn, Dominique
1
2019
Colimits of monoids. Zbl 1417.18002
Porst, Hans-E.
1
2019
Lifting bicategories into double categories: the globularily generated condition. Zbl 1442.18021
Orendain, Juan
1
2019
Distributors and the comprehensive factorization system for internal groupoids. Zbl 1451.18006
Metere, Giuseppe
1
2019
Quotient categories and phases. Zbl 07104228
Tull, Sean
1
2019
Strictification tensor product of 2-categories. Zbl 1420.18016
Nikolić, Branko
1
2019
Monic skeleta, boundaries, Aufhebung, and the meaning of ‘one-dimensionality’. Zbl 1469.18006
Menni, Matias
1
2019
The genuine operadic nerve. Zbl 1426.55012
Bonventre, Peter
1
2019
Homotopy theory with \(\ast\)-categories. Zbl 1423.18011
Bunke, Ulrich
1
2019
Weak units, universal cells, and coherence via universality for bicategories. Zbl 1423.18016
Hadzihasanovic, Amar
1
2019
Characterization of left coextensive varieties of universal algebras. Zbl 1423.18006
Broodryk, David Neal
1
2019
A note on internal object action representability of 1-cat groups and crossed modules. Zbl 1423.18029
Ramasu, Pako
1
2019
Finitely presentable algebras for finitary monads. Zbl 1468.18006
Adámek, Jiri; Milius, Stefan; Sousa, Lurdes; Wissmann, Thorsten
1
2019
A unified framework for notions of algebraic theory. Zbl 1441.18007
Fujii, Soichiro
1
2019
A compositional framework for passive linear networks. Zbl 1402.18005
Baez, John C.; Fong, Brendan
18
2018
Dualizing cartesian and cocartesian fibrations. Zbl 1423.18025
Barwick, Clark; Glasman, Saul; Nardin, Denis
10
2018
Props in network theory. Zbl 1400.18004
Baez, John C.; Coya, Brandon; Rebro, Franciscus
9
2018
Regular patterns, substitudes, Feynman categories and operads. Zbl 1398.18008
Batanin, Michael; Kock, Joachim; Weber, Mark
6
2018
Actor of a crossed module of Leibniz algebras. Zbl 1434.17005
Casas, José Manuel; Fernández-Casado, Rafael; García-Martínez, Xabier; Khmaladze, Emzar
5
2018
Pseudo-Kan extensions and descent theory. Zbl 1405.18002
Lucatelli Nunes, Fernando
5
2018
Decorated corelations. Zbl 1400.18011
Fong, Brendan
5
2018
A tangent category alternative to the Faà di Bruno construction. Zbl 1402.18003
Lemay, Jean-Simon P.
4
2018
Revisiting the canonicity of canonical triangulations. Zbl 1394.55014
Groth, Moritz
4
2018
A parallel section functor for 2-vector bundles. Zbl 1412.18009
Schweigert, Christoph; Woike, Lukas
4
2018
On finitely aligned left cancellative small categories, Zappa-Szép products and Exel-Pardo algebras. Zbl 1415.46036
Bédos, Erik; Kaliszewski, S.; Quigg, John; Spielberg, Jack
3
2018
On fibrant objects in model categories. Zbl 1393.55012
Isaev, Valery
3
2018
Contravariance through enrichment. Zbl 1393.18002
Shulman, Michael
3
2018
Generating the algebraic theory of \(C(X)\): the case of partially ordered compact spaces. Zbl 1419.18003
Hofmann, Dirk; Neves, Renato; Nora, Pedro
3
2018
Higher isotropy. Zbl 1419.18002
Funk, J.; Hofstra, P.; Khan, S.
3
2018
Theory of interleavings on categories with a flow. Zbl 1433.18002
De Silva, V.; Munch, E.; Stefanou, A.
3
2018
On the geometric notion of connection and its expression in tangent categories. Zbl 1408.18030
Lucyshyn-Wright, Rory B. B.
2
2018
Coalgebroids in monoidal bicategories and their comodules. Zbl 1444.18020
Alcalá, Ramón Abud
2
2018
Spans of cospans. Zbl 1412.18008
Cicala, Daniel
2
2018
A characterization of final functors between internal groupoids in exact categories. Zbl 06881678
Cigoli, Alan S.
2
2018
Stability for inner fibrations revisited. Zbl 1398.55013
Stevenson, Danny
2
2018
Tube representations and twisting of graded categories. Zbl 1406.18006
Bhowmick, Jyotishman; Ghosh, Shamindra; Rakshit, Narayan; Yamashita, Makoto
1
2018
Polynomials, fibrations and distributive laws. Zbl 1408.18010
von Glehn, Tamara
1
2018
Coarse-graining open Markov processes. Zbl 1406.18004
Baez, John C.; Courser, Kenny
1
2018
The localic isotropy group of a topos. Zbl 06996619
Henry, Simon
1
2018
Spark complexes on good effective orbifold atlases categorically. Zbl 1409.57027
Du, Cheng-Yong; Shen, Lili; Zhao, Xiaojuan
1
2018
The Ehresmann-Schein-Nambooripad theorem for inverse categories. Zbl 1406.18003
Dewolf, Darien; Pronk, Dorette
1
2018
Crossed products of crossed modules of Hopf monoids. Zbl 1401.18018
Alonso Alvarez, J. N.; Fernández Vilaboa, J. M.; González Rodríguez, R.
1
2018
Spans of cospans in a topos. Zbl 1395.18002
Cicala, Daniel; Courser, Kenny
1
2018
A construction of certain weak colimits and an exactness property of the 2-category of categories. Zbl 1428.18036
Descotte, M. E.; Dubuc, E. J.; Szyld, M.
1
2018
Nearly locally presentable categories. Zbl 1419.18005
Positselski, L.; Rosicky, J.
1
2018
On the normally ordered tensor product and duality for Tate objects. Zbl 1411.14005
Braunling, O.; Groechenig, M.; Heleodoro, A.; Wolfson, J.
1
2018
Regularity vs. constructive complete (co)distributivity. Zbl 1396.18007
Lai, Hongliang; Shen, Lili
1
2018
Homotopy theory for algebras over polynomial monads. Zbl 1368.18006
Batanin, M. A.; Berger, C.
23
2017
Simplicial nerve of an \(\mathcal A_\infty\)-category. Zbl 1360.18023
Faonte, Giovanni
13
2017
...and 520 more Documents
all top 5

Cited by 1,725 Authors

35 Gran, Marino
31 Bourn, Dominique
31 Hofmann, Dirk
31 Rosický, Jiří
30 Lack, Stephen
27 Clementino, Maria Manuel
27 Garner, Richard
27 van der Linden, Tim
22 Adámek, Jiří
22 Tholen, Walter
21 Sheng, Yunhe
20 Janelidze, Zurab
20 Martins-Ferreira, Nelson
19 Janelidze, George
19 Vitale, Enrico Maria
18 Mesablishvili, Bachuki
18 Schweigert, Christoph
18 Zhang, Dexue
17 Kock, Joachim
17 Lai, Hongliang
17 Li, Qingguo
16 Baez, John C.
16 Böhm, Gabriella
16 Casas Miras, José Manuel
16 Metere, Giuseppe
15 Cegarra, Antonio Martínez
15 Coecke, Bob
15 Gray, James Richard Andrew
15 Mantovani, Sandra
15 Sämann, Christian
15 Shulman, Michael A.
14 Fuchs, Jürgen
14 Milius, Stefan
14 Montoli, Andrea
14 Street, Ross H.
13 Bezhanishvili, Guram
13 Everaert, Tomas
13 Heunen, Chris
13 Power, John
12 Bourke, John
12 Kong, Liang
12 Rodelo, Diana
12 Zhao, Bin
11 Cockett, J. Robin B.
11 Cockett, Robin
11 Grandis, Marco
11 Jacqmin, Pierre-Alain
11 Martins, João Nuno Goncalves Faria
11 Morandi, Patrick J.
11 Shen, Lili
11 Velebil, Jiří
10 Cigoli, Alan S.
10 Fiore, Marcelo P.
10 García-Martínez, Xabier
10 Höhle, Ulrich
10 Ladra González, Manuel
10 López Franco, Ignacio L.
10 Runkel, Ingo
10 Schenkel, Alexander
10 Sobociński, Paweł
10 Waldorf, Konrad
10 Wisbauer, Robert
9 Benini, Marco
9 Caramello, Olivia
9 Fong, Brendan
9 Kurz, Alexander
9 Menni, Matías
9 Pacaud Lemay, Jean-Simon
9 Paré, Robert
9 Rosolini, Giuseppe
9 Santocanale, Luigi
9 Staton, Sam
9 Stubbe, Isar
9 Szabo, Richard J.
9 Ulualan, Erdal
9 Vickers, Steven
9 Zanasi, Fabio
8 Bonchi, Filippo
8 Guo, Lankun
8 Haugseng, Rune
8 Kock, Anders
8 Liu, Zhangju
8 Riehl, Emily
8 Sobral, Manuela
8 Townsend, Christopher F.
8 Woike, Lukas
7 Batanin, Michael A.
7 Berger, Clemens
7 Borceux, Francis
7 Bunk, Severin
7 Chatterjee, Saikat
7 Fritz, Tobias
7 Garzón, Antonio R.
7 Gaucher, Philippe
7 Gutiérrez García, Javier
7 Han, Shengwei
7 Hofstra, Pieter J. W.
7 Hyland, J. Martin E.
7 Lemay, Jean-Simon P.
7 Lucyshyn-Wright, Rory B. B.
...and 1,625 more Authors
all top 5

Cited in 233 Journals

244 Journal of Pure and Applied Algebra
217 Applied Categorical Structures
156 Theory and Applications of Categories
151 Advances in Mathematics
76 Journal of Algebra
65 Topology and its Applications
51 Theoretical Computer Science
48 Communications in Mathematical Physics
42 Journal of Geometry and Physics
42 Fuzzy Sets and Systems
41 Journal of Homotopy and Related Structures
39 Annals of Pure and Applied Logic
35 MSCS. Mathematical Structures in Computer Science
28 Logical Methods in Computer Science
27 Algebra Universalis
25 Algebraic & Geometric Topology
24 Journal of High Energy Physics
21 Transactions of the American Mathematical Society
20 Letters in Mathematical Physics
19 Communications in Algebra
19 Tbilisi Mathematical Journal
18 Cahiers de Topologie et Géométrie Différentielle Catégoriques
18 Journal of Algebra and its Applications
16 Journal of Mathematical Physics
15 Semigroup Forum
14 Algebras and Representation Theory
14 Higher Structures
13 Information and Computation
12 Cahiers de Topologie et Géométrie Différentielle Catégoriques
12 Mathematische Zeitschrift
12 Proceedings of the American Mathematical Society
11 Categories and General Algebraic Structures with Applications
10 Nuclear Physics. B
10 Selecta Mathematica. New Series
9 Communications in Contemporary Mathematics
9 Journal of Noncommutative Geometry
9 Journal of Logical and Algebraic Methods in Programming
8 Differential Geometry and its Applications
8 Documenta Mathematica
8 Journal of Applied and Computational Topology
7 The Journal of Symbolic Logic
7 Hacettepe Journal of Mathematics and Statistics
6 Reviews in Mathematical Physics
6 Quaestiones Mathematicae
6 Order
6 Journal of Knot Theory and its Ramifications
6 Journal of Mathematical Sciences (New York)
6 Turkish Journal of Mathematics
6 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
6 Logica Universalis
5 Israel Journal of Mathematics
5 Commentationes Mathematicae Universitatis Carolinae
5 Compositio Mathematica
5 Mathematische Annalen
5 Studia Logica
5 Mathematical Logic Quarterly (MLQ)
5 Geometry & Topology
5 The Journal of Logic and Algebraic Programming
5 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
5 Comptes Rendus. Mathématique. Académie des Sciences, Paris
4 International Journal of Theoretical Physics
4 Collectanea Mathematica
4 Journal of Philosophical Logic
4 Memoirs of the American Mathematical Society
4 International Journal of Approximate Reasoning
4 International Journal of Mathematics
4 Indagationes Mathematicae. New Series
4 Georgian Mathematical Journal
4 Journal of Functional Programming
4 Abstract and Applied Analysis
4 Central European Journal of Mathematics
4 Quantum Topology
3 Annales de l’Institut Fourier
3 International Journal of Mathematics and Mathematical Sciences
3 Inventiones Mathematicae
3 Synthese
3 Journal of the American Mathematical Society
3 International Journal of Algebra and Computation
3 Archive for Mathematical Logic
3 Journal of Lie Theory
3 Transformation Groups
3 Soft Computing
3 Journal of the European Mathematical Society (JEMS)
3 Journal of Geometric Mechanics
3 Science China. Mathematics
3 Forum of Mathematics, Sigma
3 Axioms
2 Acta Informatica
2 Discrete Mathematics
2 Indian Journal of Pure & Applied Mathematics
2 Journal of Mathematical Analysis and Applications
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Rocky Mountain Journal of Mathematics
2 Fortschritte der Physik
2 Acta Mathematica Vietnamica
2 Information Sciences
2 Publications Mathématiques
2 Journal of Computer and System Sciences
2 Journal of Functional Analysis
2 Journal für die Reine und Angewandte Mathematik
...and 133 more Journals
all top 5

Cited in 54 Fields

1,520 Category theory; homological algebra (18-XX)
386 Algebraic topology (55-XX)
296 Mathematical logic and foundations (03-XX)
282 Computer science (68-XX)
226 Order, lattices, ordered algebraic structures (06-XX)
224 Associative rings and algebras (16-XX)
223 Quantum theory (81-XX)
208 Group theory and generalizations (20-XX)
168 General topology (54-XX)
153 Nonassociative rings and algebras (17-XX)
152 General algebraic systems (08-XX)
111 Differential geometry (53-XX)
103 Algebraic geometry (14-XX)
90 Functional analysis (46-XX)
89 Manifolds and cell complexes (57-XX)
75 Topological groups, Lie groups (22-XX)
67 Global analysis, analysis on manifolds (58-XX)
51 \(K\)-theory (19-XX)
47 Commutative algebra (13-XX)
41 Combinatorics (05-XX)
27 Relativity and gravitational theory (83-XX)
15 Geometry (51-XX)
15 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
14 Mechanics of particles and systems (70-XX)
13 Number theory (11-XX)
13 Dynamical systems and ergodic theory (37-XX)
12 Probability theory and stochastic processes (60-XX)
12 Information and communication theory, circuits (94-XX)
11 Several complex variables and analytic spaces (32-XX)
9 Measure and integration (28-XX)
9 Statistics (62-XX)
8 Field theory and polynomials (12-XX)
8 Linear and multilinear algebra; matrix theory (15-XX)
7 History and biography (01-XX)
7 Partial differential equations (35-XX)
7 Operator theory (47-XX)
7 Convex and discrete geometry (52-XX)
6 Statistical mechanics, structure of matter (82-XX)
5 General and overarching topics; collections (00-XX)
4 Special functions (33-XX)
4 Biology and other natural sciences (92-XX)
3 Real functions (26-XX)
3 Ordinary differential equations (34-XX)
3 Abstract harmonic analysis (43-XX)
3 Optics, electromagnetic theory (78-XX)
3 Operations research, mathematical programming (90-XX)
2 Functions of a complex variable (30-XX)
2 Calculus of variations and optimal control; optimization (49-XX)
2 Numerical analysis (65-XX)
2 Systems theory; control (93-XX)
2 Mathematics education (97-XX)
1 Approximations and expansions (41-XX)
1 Integral equations (45-XX)
1 Mechanics of deformable solids (74-XX)

Citations by Year