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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: Journal; Indexed cover-to-cover; Published electronic only as of Vol. 1 (1995). This journal is available open access.
Documents Indexed: 1,012 Publications (since 1995)
References Indexed: 411 Publications with 13,631 References.
all top 5

Authors

24 Barr, Michael
23 Rosický, Jiří
20 Adámek, Jiří
20 Cockett, J. Robin B.
19 Lack, Stephen
19 Street, Ross H.
19 Wood, Richard J.
17 Bourn, Dominique
16 Janelidze, George
15 Raphael, Robert M.
14 Kennison, John F.
13 Gran, Marino
13 Menni, Matías
13 Niefield, Susan B.
12 Vitale, Enrico Maria
11 Baez, John C.
11 Clementino, Maria Manuel
11 Grandis, Marco
11 Kelly, Gregory Maxwell
11 Pronk, Dorette A.
11 Tholen, Walter
11 van der Linden, Tim
10 Janelidze, Zurab
10 Paré, Robert
10 Seely, Robert A. G.
9 Cruttwell, Geoffrey S. H.
9 Gaucher, Philippe
9 Gray, James Richard Andrew
9 Kock, Anders Jungersen
9 Lucyshyn-Wright, Rory B. B.
9 Marmolejo, Francisco
9 Shulman, Michael A.
9 Weber, Mark
8 Funk, Jonathon R.
8 Hofstra, Pieter J. W.
8 Leinster, Tom
8 Rodelo, Diana
8 Rosebrugh, Robert D.
7 Borceux, Francis
7 Brown, Ronald
7 Cheng, Eugenia
7 Garner, Richard
7 Lawvere, Francis William
6 Bezhanishvili, Guram
6 Hofmann, Dirk
6 Martins-Ferreira, Nelson
6 Mesablishvili, Bachuki
6 Montoli, Andrea
6 Porter, Timothy
6 Sousa, Lurdes
6 Velebil, Jiří
6 Walters, Robert F. C.
5 Blute, Richard F.
5 de Paiva, Valeria
5 Everaert, Tomas
5 Fong, Brendan
5 Garzón, Antonio R.
5 Gurski, Nick
5 Heunen, Chris
5 Hoefnagel, Michael Anton
5 Jacqmin, Pierre-Alain
5 Kaliszewski, Steven Paul
5 Karazeris, Panagis
5 Koslowski, Jürgen
5 Lucatelli Nunes, Fernando
5 Lyubashenko, Volodymyr V.
5 Mantovani, Sandra
5 Metere, Giuseppe
5 Morandi, Patrick J.
5 Pacaud Lemay, Jean-Simon
5 Parker, Jason T.
5 Pisani, Claudio
5 Quigg, John C.
5 Schweigert, Christoph
5 Shen, Lili
5 Steiner, Richard J.
5 Stubbe, Isar
5 Szyld, Martín
5 Xarez, João J.
4 Böhm, Gabriella
4 Caramello, Olivia
4 Chirvăsitu, Alexandru
4 Cigoli, Alan S.
4 Courser, Kenny
4 Dawson, Robert James MacGregor
4 Freyd, Peter J.
4 Fritz, Tobias
4 Hasegawa, Masahito
4 Janelidze-Gray, Tamar
4 Kenney, Toby
4 Koudenburg, Seerp Roald
4 Milius, Stefan
4 Shoikhet, Boris B.
4 Streicher, Thomas
4 Verity, Dominic
4 Voevodskiĭ, Vladimir Aleksandrovich
3 Aldrovandi, Ettore
3 Batanin, Michael A.
3 Bédos, Erik
3 Bunge, Marta Cavallo
...and 684 more Authors
all top 5

Fields

955 Category theory; homological algebra (18-XX)
160 Algebraic topology (55-XX)
103 Mathematical logic and foundations (03-XX)
76 General algebraic systems (08-XX)
76 Group theory and generalizations (20-XX)
72 Order, lattices, ordered algebraic structures (06-XX)
68 Associative rings and algebras (16-XX)
63 General topology (54-XX)
46 Computer science (68-XX)
32 Functional analysis (46-XX)
31 Algebraic geometry (14-XX)
24 Manifolds and cell complexes (57-XX)
23 Topological groups, Lie groups (22-XX)
20 Commutative algebra (13-XX)
20 Nonassociative rings and algebras (17-XX)
18 \(K\)-theory (19-XX)
18 Differential geometry (53-XX)
16 Combinatorics (05-XX)
13 Global analysis, analysis on manifolds (58-XX)
13 Quantum theory (81-XX)
10 Field theory and polynomials (12-XX)
9 History and biography (01-XX)
8 Dynamical systems and ergodic theory (37-XX)
7 Geometry (51-XX)
6 General and overarching topics; collections (00-XX)
6 Several complex variables and analytic spaces (32-XX)
6 Probability theory and stochastic processes (60-XX)
6 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
4 Real functions (26-XX)
4 Information and communication theory, circuits (94-XX)
3 Number theory (11-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Operations research, mathematical programming (90-XX)
2 Measure and integration (28-XX)
2 Operator theory (47-XX)
2 Convex and discrete geometry (52-XX)
2 Statistics (62-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 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

752 Publications have been cited 6,144 times in 3,379 Documents Cited by Year
Higher-dimensional algebra. VI: Lie 2-algebras. Zbl 1057.17011
Baez, John C.; Crans, Alissa S.
164
2004
Higher-dimensional algebra. V: 2-Groups. Zbl 1056.18002
Baez, John C.; Lauda, Aaron D.
148
2004
Categorical structures enriched in a quantaloid: categories, distributors and functors. Zbl 1079.18005
Stubbe, Isar
83
2005
Framed bicategories and monoidal fibrations. Zbl 1192.18005
Shulman, Michael
76
2008
Composing PROPs. Zbl 1062.18007
Lack, Stephen
69
2004
Protomodularity, descent, and semidirect products. Zbl 0890.18003
Bourn, D.; Janelidze, G.
63
1998
Categorical structures enriched in a quantaloid: tensored and cotensored categories. Zbl 1119.18005
Stubbe, Isar
61
2006
Characterization of protomodular varieties of universal algebras. Zbl 1021.08003
Bourn, Dominique; Janelidze, George
58
2003
Homotopy theory for algebras over polynomial monads. Zbl 1368.18006
Batanin, M. A.; Berger, C.
49
2017
Notes on enriched categories with colimits of some class. Zbl 1082.18004
Kelly, G. M.; Schmitt, V.
48
2005
TFT Construction of RCFT correlators. V: Proof of modular invariance and factorisation. Zbl 1151.81038
Fjelstad, Jens; Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph
45
2006
On the representability of actions in a semi-abelian category. Zbl 1103.18006
Borceux, F.; Janelidze, G.; Kelly, G. M.
45
2005
Enriched Lawvere theories. Zbl 0943.18003
Power, John
42
1999
Familial 2-functors and parametric right adjoints. Zbl 1152.18005
Weber, Mark
40
2007
The pointed subobject functor, \(3\times 3\) lemmas, and subtractivity of spans. Zbl 1234.18009
Janelidze, Zurab
40
2010
Centrality and normality in protomodular categories. Zbl 1004.18004
Bourn, Dominique; Gran, Marino
39
2001
Localic completion of generalized metric spaces I. Zbl 1083.54019
Vickers, Steven
39
2005
Cartesian differential categories. Zbl 1262.18004
Blute, R. F.; Cockett, J. R. B.; Seely, R. A. G.
39
2009
Categories in control. Zbl 1316.18009
Baez, John C.; Erbele, Jason
39
2015
Connections on non-abelian gerbes and their holonomy. Zbl 1279.53024
Schreiber, Urs; Waldorf, Konrad
39
2013
A note on actions of a monoidal category. Zbl 1009.18005
Janelidze, G.; Kelly, G. M.
37
2001
Simplicial matrices and the nerves of weak \(n\)-categories I: Nerves of bicategories. Zbl 1046.18009
Duskin, John W.
37
2001
Introduction to coalgebra. Zbl 1080.18005
Adámek, Jiří
36
2005
Frobenius algebras and ambidextrous adjunctions. Zbl 1092.18003
Lauda, Aaron D.
35
2006
Elementary quotient completion. Zbl 1288.03048
Maietti, Maria Emilia; Rosolini, Giuseppe
35
2013
Cubical sets and their site. Zbl 1022.18009
Grandis, Marco; Mauri, Luca
34
2003
\(\mathfrak V\)-Cat is locally presentable or locally bounded if \(\mathfrak V\) is so. Zbl 1003.18008
Kelly, G. M.; Lack, Stephen
34
2001
Monads of effective descent type and comonadicity. Zbl 1085.18003
Mesablishvili, Bachuki
34
2006
Opmonoidal monads. Zbl 1018.18006
McCrudden, Paddy
34
2002
Distributive laws for pseudomonads. Zbl 0919.18004
Marmolejo, F.
33
1999
Proof theory for full intuitionistic linear logic, bilinear logic, and MIX categories. Zbl 0879.03022
Cockett, J. R. B.; Seely, R. A. G.
32
1997
On property-like structures. Zbl 0935.18005
Kelly, G. M.; Lack, Stephen
30
1997
Generic morphisms, parametric representations and weakly cartesian monads. Zbl 1062.18008
Weber, Mark
30
2004
Doctrines whose structure forms a fully faithful adjoint string. Zbl 0878.18004
Marmolejo, F.
29
1997
Isomorphisms between left and right adjoints. Zbl 1042.18008
Fausk, H.; Hu, P.; May, J. P.
29
2003
A compositional framework for passive linear networks. Zbl 1402.18005
Baez, John C.; Fong, Brendan
29
2018
Canonical and op-canonical lax algebras. Zbl 1088.18006
Seal, Gavin J.
29
2005
Axiomatic cohesion. Zbl 1123.18001
Lawvere, F. William
28
2007
On sifted colimits and generalized varieties. Zbl 0971.18004
Adámek, Jiří; Rosický, Jiří
28
2001
A unified framework for generalized multicategories. Zbl 1220.18003
Cruttwell, G. S. H.; Shulman, Michael A.
28
2010
The theory and practice of Reedy categories. Zbl 1302.55014
Riehl, Emily; Verity, Dominic
28
2014
Algebraically coherent categories. Zbl 1366.18005
Cigoli, Alan S.; Gray, James R. A.; Van der Linden, Tim
28
2015
A survey of definitions of \(n\)-category. Zbl 0987.18007
Leinster, Tom
27
2002
More morphisms between bundle gerbes. Zbl 1166.55005
Waldorf, Konrad
27
2007
Balanced coalgebroids. Zbl 0960.18005
Mccrudden, Paddy
27
2000
Higher dimensional algebra. VII: Groupoidification. Zbl 1229.18003
Baez, John C.; Hoffnung, Alexander E.; Walker, Christopher D.
27
2010
Tannaka-Krein duality for compact quantum homogeneous spaces. I: General theory. Zbl 1337.46045
De Commer, Kenny; Yamashita, Makoto
27
2013
Baer invariants in semi-abelian categories II: Homology. Zbl 1065.18012
Everaert, T.; Van der Linden, T.
26
2004
Generalized Brown representability in homotopy categories. Zbl 1091.18002
Rosický, Jiří
26
2005
Biequivalences in tricategories. Zbl 1252.18013
Gurski, Nick
26
2012
Baer invariants in semi-abelian categories I: General theory. Zbl 1065.18011
Everaert, T.; Van der Linden, T.
25
2004
Approximable concepts, Chu spaces, and information systems. Zbl 1111.68132
Zhang, Guo-Qiang; Shen, Gongqin
25
2006
Comparative smootheology. Zbl 1220.18013
Stacey, Andrew
24
2011
Decorated cospans. Zbl 1351.18003
Fong, Brendan
24
2015
Resolutions by Polygraphs. Zbl 1020.18001
Métayer, François
23
2003
Categorical representations of categorical groups. Zbl 1108.18003
Barrett, John W.; Mackaay, Marco
23
2006
Compact closed bicategories. Zbl 1356.18003
Stay, Michael
23
2016
Generic commutative separable algebras and cospans of graphs. Zbl 1087.18003
Rosebrugh, R.; Sabadini, N.; Walters, R. F. C.
23
2005
A convenient category for directed homotopy. Zbl 1157.18003
Fajstrup, L.; Rosický, J.
23
2008
Props in network theory. Zbl 1400.18004
Baez, John C.; Coya, Brandon; Rebro, Franciscus
23
2018
Skew monoidales, skew warpings and quantum categories. Zbl 1252.18016
Lack, Stephen; Street, Ross
22
2012
Dualizing cartesian and cocartesian fibrations. Zbl 1423.18025
Barwick, Clark; Glasman, Saul; Nardin, Denis
22
2018
Symmetric monoidal categories model all connective spectra. Zbl 0876.55009
Thomason, R. W.
21
1995
Commutator theory in strongly protomodular categories. Zbl 1068.18006
Bourn, Dominique
21
2004
Pure morphisms of commutative rings are effective descent morphisms for modules. A new proof. Zbl 0937.13002
Mesablishvili, Bachuki
21
2000
Normal functors and strong protomodularity. Zbl 0947.18004
Bourn, Dominique
21
2000
Action accessibility for categories of interest. Zbl 1307.18015
Montoli, Andrea
21
2010
Higher-dimensional categories with finite derivation type. Zbl 1190.18002
Guiraud, Yves; Malbos, Philippe
21
2009
Codensity and the ultrafilter monad. Zbl 1273.18009
Leinster, Tom
21
2013
Simplicial nerve of an \(\mathcal A_\infty\)-category. Zbl 1360.18023
Faonte, Giovanni
21
2017
The double powerlocale and exponentiation: A case study in geometric logic. Zbl 1061.06026
Vickers, Steven
20
2004
Closedness properties of internal relations. I. A unified approach to Mal’tsev, unital and subtractive categories. Zbl 1104.18002
Janelidze, Zurab
20
2006
Vector fields and flows on differentiable stacks. Zbl 1206.37009
Hepworth, Richard
20
2009
Polynomials in categories with pullbacks. Zbl 1330.18002
Weber, Mark
20
2015
Injective hulls of partially ordered monoids. Zbl 1259.06019
Lambek, J.; Barr, Michael; Kennison, John F.; Raphael, R.
20
2012
Pseudogroupoids and commutators. Zbl 1008.18006
Janelidze, George; Pedicchio, M. Cristina
19
2001
Hopf monoidal comonads. Zbl 1250.18006
Chikhladze, Dimitri; Lack, Stephen; Street, Ross
19
2010
Approximate Mal’tsev operations. Zbl 1172.18001
Bourn, Dominique; Janelidze, Zurab
19
2008
Monoidal Grothendieck construction. Zbl 1442.18016
Moeller, Joe; Vasilakopoulou, Christina
19
2020
Cartesian differential storage categories. Zbl 1330.18009
Blute, R.; Cockett, J. R. B.; Seely, R. A. G.
18
2015
Weakly Mal’cev categories. Zbl 1166.18005
Martins-Ferreira, N.
18
2008
Bounded Archimedean \(\ell\)-algebras and Gelfand-Neumark-Stone duality. Zbl 1314.06020
Bezhanishvili, Guram; Morandi, Patrick J.; Olberding, Bruce
18
2013
Categories enriched over a quantaloid: Isbell adjunctions and Kan adjunctions. Zbl 1273.18022
Shen, Lili; Zhang, Dexue
18
2013
The reflectiveness of covering morphisms in algebra and geometry. Zbl 0866.18004
Janelidze, G.; Kelly, G. M.
17
1997
Internal crossed modules and Peiffer condition. Zbl 1315.18012
Mantovani, Sandra; Metere, Giuseppe
17
2010
On the axioms for adhesive and quasiadhesive categories. Zbl 1248.18001
Garner, Richard; Lack, Stephen
17
2012
Monads on dagger categories. Zbl 1378.18003
Heunen, Chris; Karvonen, Martti
17
2016
A tensor product for Gray-categories. Zbl 0914.18006
Crans, Sjoerd E.
16
1999
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
16
2003
Double categories, 2-categories, thin structures and connections. Zbl 0918.18005
Brown, Ronald; Mosa, Ghafar H.
16
1999
Theory of interleavings on categories with a flow. Zbl 1433.18002
De Silva, V.; Munch, E.; Stefanou, A.
16
2018
Cartesian bicategories. II. Zbl 1146.18300
Carboni, A.; Kelly, G. M.; Walters, R. F. C.; Wood, R. J.
16
2007
The Hopf algebra of Möbius intervals. Zbl 1236.18001
Lawvere, F. W.; Menni, M.
16
2010
Remarks on punctual local connectedness. Zbl 1239.18004
Johnstone, Peter
16
2011
On actions and strict actions in homological categories. Zbl 1275.18012
Hartl, Manfred; Loiseau, Bruno
16
2012
Differential restriction categories. Zbl 1260.14004
Cockett, J. R. B.; Cruttwell, G. S. H.; Gallagher, J. D.
16
2011
On Yetter’s invariant and an extension of the Dijkgraaf-Witten invariant to categorical groups. Zbl 1119.18009
Martins, Joao Faria; Porter, Timothy
16
2007
A C-system defined by a universe category. Zbl 1436.03311
Voevodsky, Vladimir
16
2015
Applications of Peiffer pairings in the Moore complex of a simplicial group. Zbl 0917.18006
Mutlu, A.; Porter, T.
15
1998
Freeness conditions for 2-crossed modules and complexes. Zbl 0917.18004
Mutlu, A.; Porter, T.
15
1998
Universal construction in monoidal and non-monoidal settings, the Brauer envelope, and pseudocharacters. Zbl 07977821
Im, Mee Seong; Khovanov, Mikhail; Ostrik, Victor
1
2025
Lax comma 2-categories and admissible 2-functors. Zbl 1537.18028
Clementino, Maria Manuel; Lucatelli Nunes, Fernando
4
2024
Completion under strong homotopy cokernels. Zbl 1533.18003
Vitale, Enrico M.
2
2024
Ideally exact categories. Zbl 1541.18009
Janelidze, George
2
2024
Condensation inversion and Witt equivalence via generalised orbifolds. Zbl 07940403
Mulevičius, Vincentas
2
2024
Pivotality, twisted centres, and the anti-double of a Hopf monad. Zbl 1539.18018
Halbig, Sebastian; Zorman, Tony
1
2024
On reachability categories, persistence, and commuting algebras of quivers. Zbl 07844814
Caputi, Luigi; Riihimäki, Henri
1
2024
The oplax limit of an enriched category. Zbl 1544.18008
Fujii, Soichiro; Lack, Stephen
1
2024
Lax comma categories: Cartesian closedness, extensivity, topologicity, and descent. Zbl 1540.18021
Clementino, Maria Manuel; Lucatelli Nunes, Fernando; Prezado, Rui
1
2024
Indexed Grothendieck construction. Zbl 07898687
Caviglia, Elena; Mesiti, Luca
1
2024
Pointwise Kan extensions along 2-fibrations and the 2-category of elements. Zbl 1544.18009
Mesiti, Luca
1
2024
Fréchet modules and descent. Zbl 1512.46053
Ben-Bassat, Oren; Kremnizer, Kobi
3
2023
Colimits in enriched \(\infty\)-categories and Day convolution. Zbl 1514.18007
Hinich, Vladimir
2
2023
Quasi-uniform structures and functors. Zbl 1514.18002
Iragi, Minani; Holgate, David
2
2023
Differential bundles in commutative algebra and algebraic geometry. Zbl 1535.18021
Cruttwell, G. S. H.; Pacaud Lemay, Jean-Simon
2
2023
Pointed semibiproducts of monoids. Zbl 1514.18014
Martins-Ferreira, Nelson
2
2023
Enhanced twisted arrow categories. Zbl 1520.18018
Abellán García, Fernando; Stern, Walker H.
1
2023
Bifunctor theorem and strictification tensor product for double categories with lax double functors. Zbl 1540.18022
Femić, Bojana
1
2023
Category-colored operads, internal operads, and Markl \(\mathbb{O}\)-operads. Zbl 1533.18015
Trnka, Dominik
1
2023
On the construction of Noetherian forms for algebraic structures. Zbl 1514.18011
van Niekerk, Francois Koch
1
2023
Enriched locally generated categories. Zbl 1492.18006
Di Liberti, Ivan; Rosický, Jiří
7
2022
On dualizable objects in monoidal bicategories. Zbl 1494.18016
Pstrągowski, Piotr
7
2022
Weak Fraïssé categories. Zbl 1502.18004
Kubiś, Wiesław
6
2022
Cohomologies, extensions and deformations of differential algebras of arbitrary weight. Zbl 1517.16007
Guo, Li; Li, Yunnan; Sheng, Yunhe; Zhou, Guodong
5
2022
A modular functor from state sums for finite tensor categories and their bimodules. Zbl 1494.18012
Fuchs, Jürgen; Schaumann, Gregor; Schweigert, Christoph
5
2022
Q-system completion is a 3-functor. Zbl 1492.46070
Chen, Quan; Penneys, David
4
2022
The matrix taxonomy of finitely complete categories. Zbl 1499.18018
Hoefnagel, Michael; Jacqmin, Pierre-Alain; Janelidze, Zurab
4
2022
Presentations and algebraic colimits of enriched monads for a subcategory of arities. Zbl 1505.18008
Lucyshyn-Wright, Rory B. B.; Parker, Jason
3
2022
Moment categories and operads. Zbl 1505.18004
Berger, Clemens
3
2022
Double fibrations. Zbl 1516.18017
Cruttwell, G. S. H.; Lambert, M. J.; Pronk, D. A.; Szyld, M.
3
2022
Locally bounded enriched categories. Zbl 1493.18001
Lucyshyn-Wright, Rory B. B.; Parker, Jason
3
2022
On Krull-Schmidt bicategories. Zbl 1490.18005
Dell’Ambrogio, Ivo
2
2022
Central extensions of associative algebras and weakly action representable categories. Zbl 1505.18014
Janelidze, George
2
2022
Indeterminacies and models of homotopy limits. Zbl 1543.18007
Govzmann, Alisa; Pistalo, Damjan; Poncin, Norbert
2
2022
Simple string diagrams and \(n\)-sesquicategories. Zbl 1515.18015
Araújo, Manuel
2
2022
Composing PROBs. Zbl 1498.18022
Graves, Daniel
2
2022
Double categories of relations. Zbl 1507.18024
Lambert, Michael
2
2022
Linearizing combinators. Zbl 1485.18014
Cockett, Robin; Pacaud Lemay, Jean-Simon
2
2022
On the dearth of coproducts in the category of locally compact groups. Zbl 1507.22018
Chirvasitu, Alexandru
1
2022
Probability monads as codensity monads. Zbl 1536.18004
Van Belle, Ruben
1
2022
Extensivity of categories of relational structures. Zbl 1492.18004
Parker, Jason
1
2022
Gray-categories model algebraic tricategories. Zbl 1514.18022
Ferrer, Giovanni
1
2022
The monotone-light factorization for 2-categories via 2-preorders. Zbl 1499.18004
Xarez, João J.
1
2022
Twisted arrow categories, operads and Segal conditions. Zbl 1484.18008
Burkin, Sergei
1
2022
Bicategories of fractions revisited: towards small homs and canonical 2-cells. Zbl 1506.18025
Pronk, Dorette; Scull, Laura
1
2022
On the formal theory of pseudomonads and pseudodistributive laws. Zbl 1457.18023
Gambino, Nicola; Lobbia, Gabriele
4
2021
A practical type theory for symmetric monoidal categories. Zbl 1474.18031
Shulman, Michael
4
2021
Left properness of flows. Zbl 1481.18027
Gaucher, Philippe
4
2021
Discrete double fibrations. Zbl 1464.18020
Lambert, Michael
4
2021
Cauchy completeness for DG-categories. Zbl 1467.18011
Nikolić, Branko; Street, Ross; Tendas, Giacomo
3
2021
Descent data and absolute Kan extensions. Zbl 1466.18013
Lucatelli Nunes, Fernando
3
2021
Algebraic exponentiation for Lie algebras. Zbl 1467.18018
García-Martínez, Xabier; Gray, James R. A.
3
2021
A categorical approach to quantum moment maps. Zbl 1468.18019
Safronov, Pavel
3
2021
2-dimensional bifunctor theorems and distributive laws. Zbl 1477.18045
Faul, Peter F.; Manuell, Graham; Siqueira, José
2
2021
The Moore complex of a simplicial cocommutative Hopf algebra. Zbl 1466.16028
Emir, Kadir
2
2021
Closed dendroidal sets and unital operads. Zbl 1477.18042
Moerdijk, Ieke
2
2021
The comprehensive factorization of Burroni’s \(\mathbb{T}\)-functors. Zbl 1474.18006
Tholen, Walter; Yeganeh, Leila
2
2021
The canonical intensive quality of a cohesive topos. Zbl 1469.18004
Marmolejo, F.; Menni, M.
2
2021
Pivotal objects in monoidal categories and their Hopf monads. Zbl 1458.18009
Ghobadi, Aryan
2
2021
Every elementary higher topos has a natural number object. Zbl 1464.18006
Rasekh, Nima
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Parsummable categories as a strictification of symmetric monoidal categories. Zbl 1474.18030
Lenz, Tobias
2
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Autocompact objects of Ab5 categories. Zbl 1475.18012
Dvořák, Josef; Žemlička, Jan
1
2021
On sifted colimits in the presence of pullbacks. Zbl 1477.18006
Chen, Ruiyuan
1
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Remarks on combinatorial and accessible model categories. Zbl 1459.18003
Rosický, Jiri
1
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Ladders and completion of triangulated categories. Zbl 1457.18004
Sun, Yongliang; Zhang, Yaohua
1
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Dependent products and 1-inaccessible universes. Zbl 1466.18015
Lo Monaco, Giulio
1
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(Co)ends for representations of tensor categories. Zbl 1467.18035
Bortolussi, Noelia; Mombelli, Martín
1
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An essential local geometric morphism which is not locally connected though its inverse image part is an exponential ideal. Zbl 1467.18006
Garner, Richard; Streicher, Thomas
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Locally anisotropic toposes. II. Zbl 1467.18005
Funk, Jonathon; Hofstra, Pieter
1
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Intrinsic Schreier special objects. Zbl 1482.18005
Montoli, Andrea; Rodelo, Diana; van der Linden, Tim
1
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A Hurewicz model structure for directed topology. Zbl 1465.18015
Krishnan, Sanjeevi; North, Paige Randall
1
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Tensor-restriction categories. Zbl 1464.18016
Heunen, Chris; Lemay, Jean-Simon Pacaud
1
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Maschke type theorems for Hopf monoids. Zbl 1471.18023
Böhm, Gabriella
1
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Van Kampen’s theorem for locally sectionable maps. Zbl 1492.18013
Brown, Ronald; Janelidze, George; Peschke, George
1
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A note on the categorical notions of normal subobject and of equivalence class. Zbl 1506.18002
Bourn, Dominique; Metere, Giuseppe
1
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Spatial realization of a Lie algebra and the bar construction. Zbl 1471.55013
Félix, Yves; Tanré, Daniel
1
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Extensions and glueing in double categories. Zbl 1467.18043
Niefield, Susan
1
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\((T,\mathbf{V})\)-\(\mathbf{Cat}\) is extensive. Zbl 1471.18005
Clementino, Maria Manuel
1
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On the ternary commutator. I: Exact Mal’tsev categories. Zbl 1467.18019
Simeu, Cyrille Sandry; Van der Linden, Tim
1
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Coherent nerves for higher quasicategories. Zbl 1468.18003
Gindi, Harry
1
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Latent fibrations: fibrations for categories of partial maps. Zbl 1467.18009
Cockett, Robin; Cruttwell, Geoff; Gallagher, Jonathan; Pronk, Dorette
1
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Simplicial sets inside cubical sets. Zbl 1467.03007
Streicher, Thomas; Weinberger, Jonathan
1
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A remarkable aspect of internal groupoids in regular Mal’tsev categories. Zbl 1482.18001
Bourn, Dominique
1
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A closed model structure on the category of weakly unital dg categories. II. Zbl 1461.18016
Panero, Piergiorgio; Shoikhet, Boris
1
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Monoidal Grothendieck construction. Zbl 1442.18016
Moeller, Joe; Vasilakopoulou, Christina
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Orbifolds of Reshetikhin-Turaev TQFTs. Zbl 1440.57016
Carqueville, Nils; Runkel, Ingo; Schaumann, Gregor
15
2020
Classification of constructible cosheaves. Zbl 1442.32039
Curry, Justin; Patel, Amit
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Structured cospans. Zbl 1451.18008
Baez, John C.; Courser, Kenny
10
2020
The 2-Chu-Dialectica construction and the polycategory of multivariable adjunctions. Zbl 1430.18019
Shulman, Michael
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The folk model category structure on strict \(\omega\)-categories is monoidal. Zbl 1443.18008
Ara, Dimitri; Lucas, Maxime
8
2020
A new Galois structure in the category of internal preorders. Zbl 1435.18009
Facchini, Alberto; Finocchiaro, Carmelo; Gran, Marino
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2020
The law of excluded middle in the simplicial model of type theory. Zbl 1452.03038
Kapulkin, Chris; Lefanu Lumsdaine, Peter
8
2020
Weak model categories in classical and constructive mathematics. Zbl 1445.55013
Henry, Simon
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2020
Rank-based persistence. Zbl 1439.55006
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2020
Braided skew monoidal categories. Zbl 1431.18012
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6
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\(\overline{\operatorname{Spec}\mathbb{Z}}\) and the Gromov norm. Zbl 1444.16061
Connes, Alain; Consani, Caterina
6
2020
A characterisation of the category of compact Hausdorff spaces. Zbl 1451.18023
Marra, Vincenzo; Reggio, Luca
6
2020
The existential completion. Zbl 1446.18007
Trotta, Davide
6
2020
Information structures and their cohomology. Zbl 1448.55011
Vigneaux, Juan Pablo
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Network models. Zbl 1442.18014
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Cited by 2,551 Authors

41 Rosický, Jiří
40 Gran, Marino
38 Lack, Stephen
37 Bourn, Dominique
36 Hofmann, Dirk
35 Clementino, Maria Manuel
31 Garner, Richard
31 van der Linden, Tim
29 Adámek, Jiří
28 Sheng, Yunhe
27 Cockett, J. Robin B.
27 Martins-Ferreira, Nelson
27 Tholen, Walter
24 Janelidze, George
24 Sobociński, Paweł
24 Zanasi, Fabio
23 Janelidze, Zurab
23 Schweigert, Christoph
23 Vitale, Enrico Maria
22 Bezhanishvili, Guram
21 Baez, John C.
21 Kock, Joachim
21 Mantovani, Sandra
21 Metere, Giuseppe
20 Li, Qingguo
19 Mesablishvili, Bachuki
18 Bonchi, Filippo
18 Casas Miras, José Manuel
18 Heunen, Chris
18 Milius, Stefan
18 Montoli, Andrea
18 Sämann, Christian
18 Shulman, Michael A.
18 Street, Ross H.
18 Zhang, Dexue
17 Böhm, Gabriella
17 Cegarra, Antonio Martínez
17 Lai, Hongliang
17 Pacaud Lemay, Jean-Simon
17 Runkel, Ingo
16 Gray, James Richard Andrew
16 Jacqmin, Pierre-Alain
16 Menni, Matías
15 Bourke, John
15 Cigoli, Alan S.
15 Coecke, Bob
15 Fiore, Marcelo P.
15 Fuchs, Jürgen
15 Hackney, Philip
15 Morandi, Patrick J.
14 Rodelo, Diana
14 Waldorf, Konrad
14 Zhao, Bin
13 Everaert, Tomas
13 Fritz, Tobias
13 García-Martínez, Xabier
13 Kissinger, Aleks
13 Kurz, Alexander
13 Power, John
13 Rovelli, Martina
13 Shen, Lili
13 Staton, Sam
13 Velebil, Jiří
13 Vicary, Jamie
12 Haugseng, Rune
12 Kong, Liang
12 López Franco, Ignacio L.
12 Lucyshyn-Wright, Rory B. B.
12 Maietti, Maria Emilia
12 Ozornova, Viktoriya
12 Riehl, Emily
12 Schenkel, Alexander
11 Benini, Marco
11 Borceux, Francis
11 Chatterjee, Saikat
11 Cruttwell, Geoffrey S. H.
11 Das, Apurba
11 Gadducci, Fabio
11 Grandis, Marco
11 Hoefnagel, Michael Anton
11 Ladra González, Manuel
11 Lucatelli Nunes, Fernando
11 Martins, João Nuno Goncalves Faria
11 Rosolini, Giuseppe
11 Sobral, Manuela
11 Sousa, Lurdes
11 Ulualan, Erdal
11 Uustalu, Tarmo
11 Zucchini, Roberto
10 Batanin, Michael A.
10 Bunk, Severin
10 Caramello, Olivia
10 Chirvăsitu, Alexandru
10 Di Liberti, Ivan
10 Fong, Brendan
10 Gambino, Nicola
10 Gaucher, Philippe
10 Hofstra, Pieter J. W.
10 Höhle, Ulrich
10 Kock, Anders Jungersen
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Cited in 300 Journals

308 Journal of Pure and Applied Algebra
268 Theory and Applications of Categories
258 Applied Categorical Structures
188 Advances in Mathematics
100 Journal of Algebra
76 Topology and its Applications
63 Communications in Mathematical Physics
63 Algebraic & Geometric Topology
61 Mathematical Structures in Computer Science
61 Logical Methods in Computer Science
59 Theoretical Computer Science
57 Journal of Homotopy and Related Structures
50 Journal of Geometry and Physics
50 Fuzzy Sets and Systems
47 Journal of High Energy Physics
42 Annals of Pure and Applied Logic
31 Algebra Universalis
30 Communications in Algebra
29 Journal of Algebra and its Applications
29 Higher Structures
25 Transactions of the American Mathematical Society
23 Journal of Mathematical Physics
23 Semigroup Forum
21 Letters in Mathematical Physics
19 Proceedings of the American Mathematical Society
19 Algebras and Representation Theory
19 Tbilisi Mathematical Journal
18 Cahiers de Topologie et Géométrie Différentielle Catégoriques
18 Journal of Applied and Computational Topology
17 Mathematische Zeitschrift
17 Information and Computation
16 Journal of the London Mathematical Society. Second Series
16 Selecta Mathematica. New Series
16 Journal of Noncommutative Geometry
15 Journal of Logical and Algebraic Methods in Programming
15 Categories and General Algebraic Structures with Applications
14 Quaestiones Mathematicae
13 Bulletin of the London Mathematical Society
13 Turkish Journal of Mathematics
13 Documenta Mathematica
12 Cahiers de Topologie et Géométrie Différentielle Catégoriques
12 Mathematical Logic Quarterly (MLQ)
12 Communications in Contemporary Mathematics
12 Forum of Mathematics, Sigma
11 The Journal of Symbolic Logic
11 Memoirs of the American Mathematical Society
11 Geometry & Topology
11 Journal of Topology
10 Nuclear Physics. B
10 Order
10 Differential Geometry and its Applications
10 Hacettepe Journal of Mathematics and Statistics
9 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
9 Journal of Geometric Mechanics
9 SciPost Physics
8 Reviews in Mathematical Physics
8 Compositio Mathematica
8 Quantum Topology
7 Israel Journal of Mathematics
7 Journal of the American Mathematical Society
7 Journal of Knot Theory and its Ramifications
7 Journal of Physics A: Mathematical and Theoretical
7 Annals of \(K\)-Theory
6 Mathematische Annalen
6 Proceedings of the London Mathematical Society. Third Series
6 Studia Logica
6 Forum Mathematicum
6 Indagationes Mathematicae. New Series
6 Journal of Mathematical Sciences (New York)
6 Journal of Lie Theory
6 Transformation Groups
6 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
6 Comptes Rendus. Mathématique. Académie des Sciences, Paris
6 Logica Universalis
6 Advanced Studies: Euro-Tbilisi Mathematical Journal
5 Fortschritte der Physik
5 Collectanea Mathematica
5 Commentationes Mathematicae Universitatis Carolinae
5 Inventiones Mathematicae
5 Bulletin of the Iranian Mathematical Society
5 International Journal of Approximate Reasoning
5 International Journal of Mathematics
5 International Journal of Algebra and Computation
5 Georgian Mathematical Journal
5 The New York Journal of Mathematics
5 Soft Computing
5 The Journal of Logic and Algebraic Programming
5 Science China. Mathematics
5 European Journal of Mathematics
4 International Journal of Theoretical Physics
4 Mathematical Proceedings of the Cambridge Philosophical Society
4 Annali di Matematica Pura ed Applicata. Serie Quarta
4 Archivum Mathematicum
4 Dissertationes Mathematicae
4 Journal of Functional Analysis
4 Journal of Philosophical Logic
4 Journal für die Reine und Angewandte Mathematik
4 Pacific Journal of Mathematics
4 Rendiconti del Seminario Matematico della Università di Padova
4 Journal of Automated Reasoning
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Cited in 57 Fields

2,320 Category theory; homological algebra (18-XX)
615 Algebraic topology (55-XX)
446 Computer science (68-XX)
445 Mathematical logic and foundations (03-XX)
333 Quantum theory (81-XX)
327 Associative rings and algebras (16-XX)
298 Order, lattices, ordered algebraic structures (06-XX)
285 Group theory and generalizations (20-XX)
221 General topology (54-XX)
220 Nonassociative rings and algebras (17-XX)
192 General algebraic systems (08-XX)
173 Algebraic geometry (14-XX)
160 Differential geometry (53-XX)
155 Manifolds and cell complexes (57-XX)
139 Functional analysis (46-XX)
114 Topological groups, Lie groups (22-XX)
105 Global analysis, analysis on manifolds (58-XX)
100 \(K\)-theory (19-XX)
73 Combinatorics (05-XX)
71 Commutative algebra (13-XX)
35 Relativity and gravitational theory (83-XX)
26 Geometry (51-XX)
23 Dynamical systems and ergodic theory (37-XX)
23 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
22 Probability theory and stochastic processes (60-XX)
22 Mechanics of particles and systems (70-XX)
20 Number theory (11-XX)
19 Several complex variables and analytic spaces (32-XX)
18 Statistics (62-XX)
18 Information and communication theory, circuits (94-XX)
14 Partial differential equations (35-XX)
14 Statistical mechanics, structure of matter (82-XX)
13 Field theory and polynomials (12-XX)
13 Operator theory (47-XX)
12 History and biography (01-XX)
12 Measure and integration (28-XX)
11 General and overarching topics; collections (00-XX)
9 Real functions (26-XX)
9 Convex and discrete geometry (52-XX)
8 Linear and multilinear algebra; matrix theory (15-XX)
8 Biology and other natural sciences (92-XX)
7 Optics, electromagnetic theory (78-XX)
7 Systems theory; control (93-XX)
6 Ordinary differential equations (34-XX)
6 Operations research, mathematical programming (90-XX)
5 Numerical analysis (65-XX)
4 Functions of a complex variable (30-XX)
4 Special functions (33-XX)
4 Abstract harmonic analysis (43-XX)
2 Calculus of variations and optimal control; optimization (49-XX)
2 Mechanics of deformable solids (74-XX)
1 Potential theory (31-XX)
1 Difference and functional equations (39-XX)
1 Approximations and expansions (41-XX)
1 Integral equations (45-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Mathematics education (97-XX)

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