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zbMATH — the first resource for mathematics

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: 826 Publications (since 1995)
References Indexed: 227 Publications with 7,649 References.
all top 5

Authors

25 Barr, Michael
21 Rosický, Jiří
18 Adámek, Jiří
17 Lack, Stephen
16 Street, Ross H.
15 Bourn, Dominique
14 Cockett, J. Robin B.
14 Janelidze, George
14 Kennison, John F.
13 Gran, Marino
13 Raphael, Robert M.
12 Niefield, Susan B.
11 Baez, John C.
11 Grandis, Marco
11 Kelly, Gregory Maxwell
11 Menni, Matías
10 Seely, Robert A. G.
10 Tholen, Walter
10 van der Linden, Tim
10 Vitale, Enrico Maria
9 Janelidze, Zurab
9 Marmolejo, Francisco
9 Paré, Robert
9 Shulman, Michael A.
9 Weber, Mark
8 Gaucher, Philippe
8 Gray, James Richard Andrew
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
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 Rodelo, Diana
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 Koslowski, Jürgen
5 Lyubashenko, Volodymyr V.
5 Pisani, Claudio
5 Steiner, Richard J.
5 Wood, Richard J.
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 Kaliszewski, Steven Paul
4 Karazeris, Panagis
4 Kenney, Toby
4 Martins-Ferreira, Nelson
4 Metere, Giuseppe
4 Milius, Stefan
4 Montoli, Andrea
4 Morandi, Patrick J.
4 Quigg, John C.
4 Schweigert, Christoph
4 Shen, Lili
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
3 Lai, Hongliang
3 Lucatelli Nunes, Fernando
...and 537 more Authors
all top 5

Fields

777 Category theory; homological algebra (18-XX)
147 Algebraic topology (55-XX)
86 Mathematical logic and foundations (03-XX)
67 Group theory and generalizations (20-XX)
62 General algebraic systems (08-XX)
56 Order, lattices, ordered algebraic structures (06-XX)
54 Associative rings and algebras (16-XX)
52 General topology (54-XX)
42 Computer science (68-XX)
26 Algebraic geometry (14-XX)
24 Functional analysis (46-XX)
18 Commutative algebra (13-XX)
18 Nonassociative rings and algebras (17-XX)
18 Manifolds and cell complexes (57-XX)
16 Differential geometry (53-XX)
14 Topological groups, Lie groups (22-XX)
12 Global analysis, analysis on manifolds (58-XX)
11 Combinatorics (05-XX)
11 \(K\)-theory (19-XX)
11 Quantum theory (81-XX)
8 Field theory and polynomials (12-XX)
8 Dynamical systems and ergodic theory (37-XX)
6 General and overarching topics; collections (00-XX)
6 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
5 History and biography (01-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

586 Publications have been cited 3,575 times in 1,976 Documents Cited by Year
Higher-dimensional algebra. VI: Lie 2-algebras. Zbl 1057.17011
Baez, John C.; Crans, Alissa S.
104
2004
Higher-dimensional algebra. V: 2-Groups. Zbl 1056.18002
Baez, John C.; Lauda, Aaron D.
99
2004
Categorical structures enriched in a quantaloid: categories, distributors and functors. Zbl 1079.18005
Stubbe, Isar
63
2005
Protomodularity, descent, and semidirect products. Zbl 0890.18003
Bourn, D.; Janelidze, G.
48
1998
Categorical structures enriched in a quantaloid: tensored and cotensored categories. Zbl 1119.18005
Stubbe, Isar
44
2006
Characterization of protomodular varieties of universal algebras. Zbl 1021.08003
Bourn, Dominique; Janelidze, George
43
2003
Framed bicategories and monoidal fibrations. Zbl 1192.18005
Shulman, Michael
41
2008
Notes on enriched categories with colimits of some class. Zbl 1082.18004
Kelly, G. M.; Schmitt, V.
34
2005
The pointed subobject functor, \(3\times 3\) lemmas, and subtractivity of spans. Zbl 1234.18009
Janelidze, Zurab
31
2010
Connections on non-abelian gerbes and their holonomy. Zbl 1279.53024
Schreiber, Urs; Waldorf, Konrad
31
2013
Centrality and normality in protomodular categories. Zbl 1004.18004
Bourn, Dominique; Gran, Marino
31
2001
On the representability of actions in a semi-abelian category. Zbl 1103.18006
Borceux, F.; Janelidze, G.; Kelly, G. M.
31
2005
Localic completion of generalized metric spaces I. Zbl 1083.54019
Vickers, Steven
31
2005
Composing PROPs. Zbl 1062.18007
Lack, Stephen
28
2004
Simplicial matrices and the nerves of weak \(n\)-categories I: Nerves of bicategories. Zbl 1046.18009
Duskin, John W.
28
2001
Monads of effective descent type and comonadicity. Zbl 1085.18003
Mesablishvili, Bachuki
28
2006
Enriched Lawvere theories. Zbl 0943.18003
Power, John
27
1999
TFT Construction of RCFT correlators. V: Proof of modular invariance and factorisation. Zbl 1151.81038
Fjelstad, Jens; Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph
27
2006
Distributive laws for pseudomonads. Zbl 0919.18004
Marmolejo, F.
25
1999
Doctrines whose structure forms a fully faithful adjoint string. Zbl 0878.18004
Marmolejo, F.
23
1997
Proof theory for full intuitionistic linear logic, bilinear logic, and MIX categories. Zbl 0879.03022
Cockett, J. R. B.; Seely, R. A. G.
23
1997
A note on actions of a monoidal category. Zbl 1009.18005
Janelidze, G.; Kelly, G. M.
22
2001
Introduction to coalgebra. Zbl 1080.18005
Adámek, Jiří
22
2005
Cartesian differential categories. Zbl 1262.18004
Blute, R. F.; Cockett, J. R. B.; Seely, R. A. G.
22
2009
More morphisms between bundle gerbes. Zbl 1166.55005
Waldorf, Konrad
22
2007
Canonical and op-canonical lax algebras. Zbl 1088.18006
Seal, Gavin J.
22
2005
Baer invariants in semi-abelian categories II: Homology. Zbl 1065.18012
Everaert, T.; Van der Linden, T.
21
2004
Opmonoidal monads. Zbl 1018.18006
McCrudden, Paddy
21
2002
On property-like structures. Zbl 0935.18005
Kelly, G. M.; Lack, Stephen
21
1997
Familial 2-functors and parametric right adjoints. Zbl 1152.18005
Weber, Mark
21
2007
Higher dimensional algebra. VII: Groupoidification. Zbl 1229.18003
Baez, John C.; Hoffnung, Alexander E.; Walker, Christopher D.
20
2010
Baer invariants in semi-abelian categories I: General theory. Zbl 1065.18011
Everaert, T.; Van der Linden, T.
20
2004
Cubical sets and their site. Zbl 1022.18009
Grandis, Marco; Mauri, Luca
20
2003
Categorical representations of categorical groups. Zbl 1108.18003
Barrett, John W.; Mackaay, Marco
20
2006
A survey of definitions of \(n\)-category. Zbl 0987.18007
Leinster, Tom
19
2002
The double powerlocale and exponentiation: A case study in geometric logic. Zbl 1061.06026
Vickers, Steven
18
2004
Commutator theory in strongly protomodular categories. Zbl 1068.18006
Bourn, Dominique
18
2004
Generic morphisms, parametric representations and weakly cartesian monads. Zbl 1062.18008
Weber, Mark
18
2004
On sifted colimits and generalized varieties. Zbl 0971.18004
Adámek, Jiří; Rosický, Jiří
18
2001
Frobenius algebras and ambidextrous adjunctions. Zbl 1092.18003
Lauda, Aaron D.
18
2006
Pure morphisms of commutative rings are effective descent morphisms for modules. A new proof. Zbl 0937.13002
Mesablishvili, Bachuki
17
2000
Approximate Mal’tsev operations. Zbl 1172.18001
Bourn, Dominique; Janelidze, Zurab
17
2008
Homotopy theory for algebras over polynomial monads. Zbl 1368.18006
Batanin, M. A.; Berger, C.
17
2017
Algebraically coherent categories. Zbl 1366.18005
Cigoli, Alan S.; Gray, James R. A.; Van der Linden, Tim
16
2015
Balanced coalgebroids. Zbl 0960.18005
Mccrudden, Paddy
16
2000
\(\mathfrak V\)-Cat is locally presentable or locally bounded if \(\mathfrak V\) is so. Zbl 1003.18008
Kelly, G. M.; Lack, Stephen
16
2001
Approximable concepts, Chu spaces, and information systems. Zbl 1111.68132
Zhang, Guo-Qiang; Shen, Gongqin
16
2006
The theory and practice of Reedy categories. Zbl 1302.55014
Riehl, Emily; Verity, Dominic
15
2014
Elementary quotient completion. Zbl 1288.03048
Maietti, Maria Emilia; Rosolini, Giuseppe
15
2013
Tannaka-Krein duality for compact quantum homogeneous spaces. I: General theory. Zbl 1337.46045
De Commer, Kenny; Yamashita, Makoto
15
2013
Normal functors and strong protomodularity. Zbl 0947.18004
Bourn, Dominique
15
2000
Categories in control. Zbl 1316.18009
Baez, John C.; Erbele, Jason
15
2015
Action accessibility for categories of interest. Zbl 1307.18015
Montoli, Andrea
15
2010
Compact closed bicategories. Zbl 1356.18003
Stay, Michael
15
2016
Generalized Brown representability in homotopy categories. Zbl 1091.18002
Rosický, Jiří
15
2005
A unified framework for generalized multicategories. Zbl 1220.18003
Cruttwell, G. S. H.; Shulman, Michael A.
14
2010
Decorated cospans. Zbl 1351.18003
Fong, Brendan
14
2015
Codensity and the ultrafilter monad. Zbl 1273.18009
Leinster, Tom
14
2013
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
Resolutions by Polygraphs. Zbl 1020.18001
Métayer, François
14
2003
Double categories, 2-categories, thin structures and connections. Zbl 0918.18005
Brown, Ronald; Mosa, Ghafar H.
14
1999
Pseudogroupoids and commutators. Zbl 1008.18006
Janelidze, George; Pedicchio, M. Cristina
14
2001
Symmetric monoidal categories model all connective spectra. Zbl 0876.55009
Thomason, R. W.
14
1995
Closedness properties of internal relations. I. A unified approach to Mal’tsev, unital and subtractive categories. Zbl 1104.18002
Janelidze, Zurab
14
2006
Generic commutative separable algebras and cospans of graphs. Zbl 1087.18003
Rosebrugh, R.; Sabadini, N.; Walters, R. F. C.
14
2005
Hopf monoidal comonads. Zbl 1250.18006
Chikhladze, Dimitri; Lack, Stephen; Street, Ross
13
2010
Injective hulls of partially ordered monoids. Zbl 1259.06019
Lambek, J.; Barr, Michael; Kennison, John F.; Raphael, R.
13
2012
Biequivalences in tricategories. Zbl 1252.18013
Gurski, Nick
13
2012
Operads in higher-dimensional category theory. Zbl 1065.18006
Leinster, Tom
13
2004
Isomorphisms between left and right adjoints. Zbl 1042.18008
Fausk, H.; Hu, P.; May, J. P.
13
2003
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
Weakly Mal’cev categories. Zbl 1166.18005
Martins-Ferreira, N.
13
2008
A compositional framework for passive linear networks. Zbl 1402.18005
Baez, John C.; Fong, Brendan
13
2018
The Hopf algebra of Möbius intervals. Zbl 1236.18001
Lawvere, F. W.; Menni, M.
12
2010
On actions and strict actions in homological categories. Zbl 1275.18012
Hartl, Manfred; Loiseau, Bruno
12
2012
On extensions of lax monads. Zbl 1085.18006
Clementino, Maria Manuel; Hofmann, Dirk
12
2004
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
Cartesian differential storage categories. Zbl 1330.18009
Blute, R.; Cockett, J. R. B.; Seely, R. A. G.
12
2015
Internal crossed modules and Peiffer condition. Zbl 1315.18012
Mantovani, Sandra; Metere, Giuseppe
12
2010
A convenient category for directed homotopy. Zbl 1157.18003
Fajstrup, L.; Rosický, J.
12
2008
Axiomatic cohesion. Zbl 1123.18001
Lawvere, F. William
12
2007
A C-system defined by a universe category. Zbl 1436.03311
Voevodsky, Vladimir
11
2015
Skew monoidales, skew warpings and quantum categories. Zbl 1252.18016
Lack, Stephen; Street, Ross
11
2012
Categories enriched over a quantaloid: Isbell adjunctions and Kan adjunctions. Zbl 1273.18022
Shen, Lili; Zhang, Dexue
11
2013
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
Abstract physical traces. Zbl 1065.18005
Abramsky, Samson; Coecke, Bob
11
2005
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
On Yetter’s invariant and an extension of the Dijkgraaf-Witten invariant to categorical groups. Zbl 1119.18009
Martins, Joao Faria; Porter, Timothy
11
2007
Simplicial nerve of an \(\mathcal A_\infty\)-category. Zbl 1360.18023
Faonte, Giovanni
11
2017
Comparative smootheology. Zbl 1220.18013
Stacey, Andrew
10
2011
Duality for distributive spaces. Zbl 1288.18002
Hofmann, Dirk
10
2013
Tannaka duality and convolution for duoidal categories. Zbl 1273.18024
Booker, Thomas; Street, Ross
10
2013
Bounded Archimedean \(\ell\)-algebras and Gelfand-Neumark-Stone duality. Zbl 1314.06020
Bezhanishvili, Guram; Morandi, Patrick J.; Olberding, Bruce
10
2013
Directed homotopy theory, II. Homotopy constructs. Zbl 1034.55006
Grandis, Marco
10
2002
Polynomials in categories with pullbacks. Zbl 1330.18002
Weber, Mark
10
2015
An embedding theorem for Hilbert categories. Zbl 1181.18004
Heunen, Chris
10
2009
Every elementary higher topos has a natural number object. Zbl 1464.18006
Rasekh, Nima
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
The law of excluded middle in the simplicial model of type theory. Zbl 1452.03038
Kapulkin, Chris; Lefanu Lumsdaine, Peter
3
2020
The 2-Chu-Dialectica construction and the polycategory of multivariable adjunctions. Zbl 1430.18019
Shulman, Michael
3
2020
Classification of constructible cosheaves. Zbl 1442.32039
Curry, Justin; Patel, Amit
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
\(\overline{\operatorname{Spec}\mathbb{Z}}\) and the Gromov norm. Zbl 1444.16061
Connes, Alain; Consani, Caterina
2
2020
A new Galois structure in the category of internal preorders. Zbl 1435.18009
Facchini, Alberto; Finocchiaro, Carmelo; Gran, Marino
2
2020
Structured cospans. Zbl 1451.18008
Baez, John C.; Courser, Kenny
2
2020
Network models. Zbl 1442.18014
Baez, John C.; Foley, John; Moeller, Joe; Pollard, Blake S.
1
2020
The folk model category structure on strict \(\omega\)-categories is monoidal. Zbl 1443.18008
Ara, Dimitri; Lucas, Maxime
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
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
Monoidal Grothendieck construction. Zbl 1442.18016
Moeller, Joe; Vasilakopoulou, Christina
1
2020
\(L'\)-localization in an \(\infty\)-topos. Zbl 1439.18024
Vergura, Marco
1
2020
Orbifolds of Reshetikhin-Turaev TQFTs. Zbl 1440.57016
Carqueville, Nils; Runkel, Ingo; Schaumann, Gregor
1
2020
Formal composition of hybrid systems. Zbl 1448.18005
Culbertson, Jared; Gustafson, Paul; Koditschek, Daniel E.; Stiller, Peter F.
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
On finitary functors. Zbl 07130286
Adámek, Jiri; Milius, Stefan; Sousa, Lurdes; Wissmann, Thorsten
3
2019
Products and coequalizers in pointed categories. Zbl 1430.08002
Hoefnagel, Michael
3
2019
Limits in dagger categories. Zbl 1412.18003
Heunen, Chris; Karvonen, Martti
3
2019
Cluster-tilting subcategories in extriangulated categories. Zbl 1408.18029
Zhou, Panyue; Zhu, Bin
3
2019
The tangent bundle of a model category. Zbl 1426.55008
Harpaz, Yonatan; Nuiten, Joost; Prasma, Matan
2
2019
The dual of compact ordered spaces is a variety. Zbl 1446.18003
Abbadini, Marco
2
2019
Six operations formalism for generalized operads. Zbl 1430.18016
Ward, Benjamin C.
2
2019
Categorification of pre-Lie algebras and solutions of 2-graded classical Yang-Baxter equations. Zbl 1408.17009
Sheng, Yunhe
2
2019
Quotient categories and phases. Zbl 07104228
Tull, Sean
1
2019
Monic skeleta, boundaries, Aufhebung, and the meaning of ‘one-dimensionality’. Zbl 07104233
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
Finitely presentable algebras for finitary monads. Zbl 07130288
Adámek, Jiri; Milius, Stefan; Sousa, Lurdes; Wissmann, Thorsten
1
2019
Distributive laws between the Three Graces. Zbl 1448.18029
Bremner, Murray; Markl, Martin
1
2019
Affine geometric spaces in tangent categories. Zbl 1444.18015
Blute, R. F.; Cruttwell, G. S. H.; Lucyshyn-Wright, R. B. B.
1
2019
A note on the categorical congruence distributivity. Zbl 07064373
Bourn, Dominique
1
2019
Lifting bicategories into double categories: the globularily generated condition. Zbl 1442.18021
Orendain, Juan
1
2019
A probability monad as the colimit of spaces of finite samples. Zbl 1410.60007
Fritz, Tobias; Perrone, Paolo
1
2019
The formal theory of multimonoidal monads. Zbl 1410.18007
Böhm, Gabriella
1
2019
A compositional framework for passive linear networks. Zbl 1402.18005
Baez, John C.; Fong, Brendan
13
2018
Dualizing cartesian and cocartesian fibrations. Zbl 1423.18025
Barwick, Clark; Glasman, Saul; Nardin, Denis
9
2018
Props in network theory. Zbl 1400.18004
Baez, John C.; Coya, Brandon; Rebro, Franciscus
6
2018
Pseudo-Kan extensions and descent theory. Zbl 1405.18002
Lucatelli Nunes, Fernando
5
2018
Decorated corelations. Zbl 1400.18011
Fong, Brendan
4
2018
A parallel section functor for 2-vector bundles. Zbl 1412.18009
Schweigert, Christoph; Woike, Lukas
4
2018
Actor of a crossed module of Leibniz algebras. Zbl 1434.17005
Casas, José Manuel; Fernández-Casado, Rafael; García-Martínez, Xabier; Khmaladze, Emzar
3
2018
Regular patterns, substitudes, Feynman categories and operads. Zbl 1398.18008
Batanin, Michael; Kock, Joachim; Weber, Mark
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
Revisiting the canonicity of canonical triangulations. Zbl 1394.55014
Groth, Moritz
3
2018
Theory of interleavings on categories with a flow. Zbl 1433.18002
De Silva, V.; Munch, E.; Stefanou, A.
3
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
2
2018
Contravariance through enrichment. Zbl 1393.18002
Shulman, Michael
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
Higher isotropy. Zbl 1419.18002
Funk, J.; Hofstra, P.; Khan, S.
2
2018
Tube representations and twisting of graded categories. Zbl 1406.18006
Bhowmick, Jyotishman; Ghosh, Shamindra; Rakshit, Narayan; Yamashita, Makoto
1
2018
A tangent category alternative to the Faà di Bruno construction. Zbl 1402.18003
Lemay, Jean-Simon P.
1
2018
Spark complexes on good effective orbifold atlases categorically. Zbl 1409.57027
Du, Cheng-Yong; Shen, Lili; Zhao, Xiaojuan
1
2018
On the geometric notion of connection and its expression in tangent categories. Zbl 1408.18030
Lucyshyn-Wright, Rory B. B.
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
Coalgebroids in monoidal bicategories and their comodules. Zbl 1444.18020
Alcalá, Ramón Abud
1
2018
On fibrant objects in model categories. Zbl 1393.55012
Isaev, Valery
1
2018
Spans of cospans. Zbl 1412.18008
Cicala, Daniel
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
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
Homotopy theory for algebras over polynomial monads. Zbl 1368.18006
Batanin, M. A.; Berger, C.
17
2017
Simplicial nerve of an \(\mathcal A_\infty\)-category. Zbl 1360.18023
Faonte, Giovanni
11
2017
A note on injective hulls of posemigroups. Zbl 1357.06014
Xia, Changchun; Han, Shengwei; Zhao, Bin
7
2017
Corelations are the prop for extraspecial commutative Frobenius monoids. Zbl 1372.18002
Coya, Brandon; Fong, Brendan
6
2017
Frobenius algebras and homotopy fixed points of group actions on bicategories. Zbl 1377.18003
Hesse, Jan; Schweigert, Christoph; Valentino, Alessandro
6
2017
A bicategory of decorated cospans. Zbl 1375.18033
Courser, Kenny
6
2017
Topological properties of non-Archimedean approach spaces. Zbl 1397.54028
Colebunders, Eva; van Opdenbosch, Karen
5
2017
C-systems defined by universe categories: presheaves. Zbl 1453.03067
Voevodsky, Vladimir
5
2017
The \((\Pi,\lambda)\)-structures on the C-systems defined by universe categories. Zbl 1383.03056
Voevodsky, Vladimir
5
2017
Connections in tangent categories. Zbl 1374.18016
Cockett, J. R. B.; Cruttwell, G. S. H.
5
2017
Classifying tangent structures using Weil algebras. Zbl 1357.18003
Leung, Poon
4
2017
Stability properties characterising \(n\)-permutable categories. Zbl 1401.18006
Jacqmin, Pierre-Alain; Rodelo, Diana
3
2017
Closure operators in abelian categories and spectral spaces. Zbl 1391.18015
Banerjee, Abhishek
3
2017
Lax distributive laws for topology. II. Zbl 1374.18011
Lai, Hongliang; Shen, Lili; Tholen, Walter
3
2017
Hopf polyads, Hopf categories and Hopf group monoids viewed as Hopf monads. Zbl 1407.18005
Böhm, Gabriella
3
2017
Fibered multiderivators and (co)homological descent. Zbl 1380.55017
Hörmann, Fritz
3
2017
Mal’tsev objects, \(R_1\)-spaces and ultrametric spaces. Zbl 1397.18001
Weighill, Thomas
2
2017
A structure theorem for quasi-Hopf bimodule coalgebras. Zbl 1359.16034
Bulacu, Daniel
2
2017
Witt vectors and truncation posets. Zbl 1356.13025
Angeltveit, Vigleik
2
2017
Monoid-like definitions of cyclic operad. Zbl 1366.18009
Obradović, Jovana
2
2017
Algebraic databases. Zbl 1386.18013
Schultz, Patrick; Spivak, David I.; Vasilakopoulou, Christina; Wisnesky, Ryan
2
2017
The two out of three property in ind-categories and a convenient model category of spaces. Zbl 1376.55017
Barnea, Ilan
2
2017
Localization of enriched categories and cubical sets. Zbl 1373.18006
Lawson, Tyler
2
2017
Action representability via spans and prefibrations. Zbl 1396.18002
Gray, J. R. A.
1
2017
Approximate categorical structures. Zbl 1408.18001
Aliouche, Abdelkrim; Simpson, Carlos
1
2017
A characterization of the Huq commutator. Zbl 1397.18010
Shaumbwa, Vaino Tuhafeni
1
2017
Bourn-normal monomorphisms in regular Mal’tsev categories. Zbl 1386.18030
Metere, Giuseppe
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2017
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Cited by 1,551 Authors

33 Gran, Marino
31 Hofmann, Dirk
30 Lack, Stephen
28 Bourn, Dominique
28 Rosický, Jiří
25 Clementino, Maria Manuel
25 Garner, Richard
25 van der Linden, Tim
22 Tholen, Walter
21 Adámek, Jiří
20 Janelidze, Zurab
20 Martins-Ferreira, Nelson
20 Sheng, Yunhe
18 Janelidze, George
18 Vitale, Enrico Maria
17 Kock, Joachim
17 Mesablishvili, Bachuki
17 Schweigert, Christoph
17 Zhang, Dexue
16 Böhm, Gabriella
15 Baez, John C.
15 Cegarra, Antonio Martínez
15 Lai, Hongliang
15 Li, Qingguo
15 Metere, Giuseppe
15 Sämann, Christian
15 Shulman, Michael A.
14 Casas Miras, José Manuel
13 Everaert, Tomas
13 Fuchs, Jürgen
13 Gray, James Richard Andrew
13 Mantovani, Sandra
13 Milius, Stefan
13 Montoli, Andrea
13 Street, Ross H.
12 Bourke, John
12 Coecke, Bob
12 Kong, Liang
12 Power, John
12 Rodelo, Diana
11 Grandis, Marco
11 Heunen, Chris
11 Martins, João Nuno Goncalves Faria
11 Velebil, Jiří
11 Zhao, Bin
10 Jacqmin, Pierre-Alain
10 Ladra González, Manuel
10 López Franco, Ignacio L.
10 Runkel, Ingo
10 Schenkel, Alexander
10 Waldorf, Konrad
10 Wisbauer, Robert
9 Benini, Marco
9 Bezhanishvili, Guram
9 Caramello, Olivia
9 Cigoli, Alan S.
9 Cockett, J. Robin B.
9 Höhle, Ulrich
9 Kurz, Alexander
9 Menni, Matías
9 Paré, Robert
9 Shen, Lili
9 Stubbe, Isar
9 Szabo, Richard J.
9 Vickers, Steven
8 Cockett, Robin
8 Fiore, Marcelo P.
8 Guo, Lankun
8 Haugseng, Rune
8 Kock, Anders
8 Liu, Zhangju
8 Santocanale, Luigi
8 Sobociński, Paweł
8 Sobral, Manuela
8 Townsend, Christopher F.
8 Ulualan, Erdal
8 Woike, Lukas
7 Berger, Clemens
7 Bunk, Severin
7 Fong, Brendan
7 García-Martínez, Xabier
7 Garzón, Antonio R.
7 Hyland, J. Martin E.
7 Lucyshyn-Wright, Rory B. B.
7 Marmolejo, Francisco
7 Morandi, Patrick J.
7 Nikolaus, Thomas
7 Riehl, Emily
7 Rosolini, Giuseppe
7 Schreiber, Urs
7 Sousa, Lurdes
7 Ursini, Aldo
7 Xia, Changchun
7 Zucchini, Roberto
6 Batanin, Michael A.
6 Borceux, Francis
6 Chatterjee, Saikat
6 Elgueta, Josep
6 Fritz, Tobias
6 Gambino, Nicola
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Cited in 217 Journals

235 Journal of Pure and Applied Algebra
205 Applied Categorical Structures
145 Advances in Mathematics
139 Theory and Applications of Categories
72 Journal of Algebra
61 Topology and its Applications
48 Theoretical Computer Science
46 Communications in Mathematical Physics
42 Fuzzy Sets and Systems
40 Journal of Homotopy and Related Structures
38 Journal of Geometry and Physics
37 Annals of Pure and Applied Logic
28 MSCS. Mathematical Structures in Computer Science
25 Algebraic & Geometric Topology
22 Algebra Universalis
22 Logical Methods in Computer Science
21 Journal of High Energy Physics
19 Letters in Mathematical Physics
19 Tbilisi Mathematical Journal
18 Cahiers de Topologie et Géométrie Différentielle Catégoriques
17 Transactions of the American Mathematical Society
16 Journal of Mathematical Physics
15 Journal of Algebra and its Applications
14 Communications in Algebra
13 Semigroup Forum
13 Algebras and Representation Theory
12 Cahiers de Topologie et Géométrie Différentielle Catégoriques
12 Proceedings of the American Mathematical Society
12 Information and Computation
10 Selecta Mathematica. New Series
9 Nuclear Physics. B
9 Mathematische Zeitschrift
9 Journal of Noncommutative Geometry
9 Journal of Logical and Algebraic Methods in Programming
9 Higher Structures
7 Differential Geometry and its Applications
7 Communications in Contemporary Mathematics
6 Reviews in Mathematical Physics
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
6 Categories and General Algebraic Structures with Applications
6 Journal of Applied and Computational Topology
5 Israel Journal of Mathematics
5 Commentationes Mathematicae Universitatis Carolinae
5 Compositio Mathematica
5 The Journal of Symbolic Logic
5 Mathematische Annalen
5 Mathematical Logic Quarterly (MLQ)
5 Documenta Mathematica
5 Geometry & Topology
5 The Journal of Logic and Algebraic Programming
4 Collectanea Mathematica
4 Memoirs of the American Mathematical Society
4 Quaestiones Mathematicae
4 Indagationes Mathematicae. New Series
4 Georgian Mathematical Journal
4 Abstract and Applied Analysis
4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
4 Central European Journal of Mathematics
4 Quantum Topology
3 International Journal of Theoretical Physics
3 Annales de l’Institut Fourier
3 International Journal of Mathematics and Mathematical Sciences
3 Journal of Philosophical Logic
3 Studia Logica
3 Synthese
3 International Journal of Approximate Reasoning
3 International Journal of Mathematics
3 International Journal of Algebra and Computation
3 Journal of Functional Programming
3 Transformation Groups
3 Soft Computing
3 Journal of the European Mathematical Society (JEMS)
3 Science China. Mathematics
3 Axioms
2 Acta Informatica
2 Discrete Mathematics
2 Indian Journal of Pure & Applied Mathematics
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 Inventiones Mathematicae
2 Journal of Computer and System Sciences
2 Manuscripta Mathematica
2 Mathematica Scandinavica
2 Rendiconti del Seminario Matematico della Università di Padova
2 Bulletin of the Iranian Mathematical Society
2 \(K\)-Theory
2 Journal of Automated Reasoning
2 Journal of the American Mathematical Society
2 Forum Mathematicum
2 Bulletin of the American Mathematical Society. New Series
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Cited in 53 Fields

1,372 Category theory; homological algebra (18-XX)
349 Algebraic topology (55-XX)
260 Mathematical logic and foundations (03-XX)
221 Computer science (68-XX)
208 Order, lattices, ordered algebraic structures (06-XX)
207 Associative rings and algebras (16-XX)
191 Quantum theory (81-XX)
187 Group theory and generalizations (20-XX)
156 General topology (54-XX)
135 General algebraic systems (08-XX)
134 Nonassociative rings and algebras (17-XX)
103 Differential geometry (53-XX)
92 Algebraic geometry (14-XX)
84 Manifolds and cell complexes (57-XX)
73 Functional analysis (46-XX)
64 Topological groups, Lie groups (22-XX)
60 Global analysis, analysis on manifolds (58-XX)
42 \(K\)-theory (19-XX)
41 Commutative algebra (13-XX)
37 Combinatorics (05-XX)
25 Relativity and gravitational theory (83-XX)
14 Geometry (51-XX)
13 Dynamical systems and ergodic theory (37-XX)
13 Mechanics of particles and systems (70-XX)
12 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
11 Probability theory and stochastic processes (60-XX)
10 Number theory (11-XX)
10 Measure and integration (28-XX)
8 Several complex variables and analytic spaces (32-XX)
8 Information and communication theory, circuits (94-XX)
7 Linear and multilinear algebra; matrix theory (15-XX)
6 History and biography (01-XX)
6 Field theory and polynomials (12-XX)
6 Partial differential equations (35-XX)
6 Convex and discrete geometry (52-XX)
6 Statistics (62-XX)
6 Statistical mechanics, structure of matter (82-XX)
5 General and overarching topics; collections (00-XX)
5 Operator theory (47-XX)
3 Optics, electromagnetic theory (78-XX)
3 Operations research, mathematical programming (90-XX)
3 Biology and other natural sciences (92-XX)
2 Real functions (26-XX)
2 Functions of a complex variable (30-XX)
2 Special functions (33-XX)
2 Abstract harmonic analysis (43-XX)
1 Ordinary differential equations (34-XX)
1 Integral equations (45-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Numerical analysis (65-XX)
1 Mechanics of deformable solids (74-XX)
1 Systems theory; control (93-XX)
1 Mathematics education (97-XX)

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