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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: 944 Publications (since 1995)
References Indexed: 344 Publications with 11,385 References.
all top 5

Authors

24 Barr, Michael
22 Rosický, Jiří
19 Wood, Richard J.
18 Adámek, Jiří
18 Street, Ross H.
17 Cockett, J. Robin B.
17 Lack, Stephen
16 Bourn, Dominique
16 Janelidze, George
14 Kennison, John F.
14 Raphael, Robert M.
13 Gran, Marino
13 Niefield, Susan B.
11 Baez, John C.
11 Grandis, Marco
11 Kelly, Gregory Maxwell
11 Menni, Matías
11 Tholen, Walter
11 van der Linden, Tim
11 Vitale, Enrico Maria
10 Clementino, Maria Manuel
10 Janelidze, Zurab
10 Paré, Robert
10 Pronk, Dorette A.
10 Seely, Robert A. G.
9 Gaucher, Philippe
9 Gray, James Richard Andrew
9 Kock, Anders Jungersen
9 Marmolejo, Francisco
9 Shulman, Michael A.
9 Weber, Mark
8 Cruttwell, Geoffrey S. H.
8 Funk, Jonathon R.
8 Lucyshyn-Wright, Rory B. B.
8 Rosebrugh, Robert D.
7 Borceux, Francis
7 Brown, Ronald
7 Hofstra, Pieter J. W.
7 Lawvere, Francis William
7 Leinster, Tom
7 Rodelo, Diana
6 Garner, Richard
6 Johnstone, Peter T.
6 Mesablishvili, Bachuki
6 Montoli, Andrea
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 Mantovani, Sandra
5 Martins-Ferreira, Nelson
5 Pisani, Claudio
5 Quigg, John C.
5 Schweigert, Christoph
5 Shen, Lili
5 Steiner, Richard J.
5 Stubbe, Isar
5 Szyld, Martín
5 Velebil, Jiří
5 Xarez, João J.
4 Blute, Richard F.
4 Böhm, Gabriella
4 Caramello, Olivia
4 Cheng, Eugenia
4 Cigoli, Alan S.
4 Courser, Kenny
4 Dawson, Robert James MacGregor
4 de Paiva, Valeria
4 Freyd, Peter J.
4 Fritz, Tobias
4 Hasegawa, Masahito
4 Hoefnagel, Michael Anton
4 Jacqmin, Pierre-Alain
4 Janelidze-Gray, Tamar
4 Karazeris, Panagis
4 Kenney, Toby
4 Koudenburg, Seerp Roald
4 Lucatelli Nunes, Fernando
4 Metere, Giuseppe
4 Milius, Stefan
4 Morandi, Patrick J.
4 Pacaud Lemay, Jean-Simon
4 Parker, Jason T.
4 Shoikhet, Boris B.
4 Sousa, Lurdes
4 Streicher, Thomas
4 Verity, Dominic
4 Voevodskiĭ, Vladimir Aleksandrovich
3 Aldrovandi, Ettore
3 Batanin, Michael A.
3 Bédos, Erik
3 Bunge, Marta C.
...and 627 more Authors
all top 5

Fields

889 Category theory; homological algebra (18-XX)
157 Algebraic topology (55-XX)
95 Mathematical logic and foundations (03-XX)
73 Group theory and generalizations (20-XX)
72 General algebraic systems (08-XX)
65 Order, lattices, ordered algebraic structures (06-XX)
64 Associative rings and algebras (16-XX)
60 General topology (54-XX)
46 Computer science (68-XX)
31 Algebraic geometry (14-XX)
31 Functional analysis (46-XX)
20 Nonassociative rings and algebras (17-XX)
20 Topological groups, Lie groups (22-XX)
20 Manifolds and cell complexes (57-XX)
19 Commutative algebra (13-XX)
18 Differential geometry (53-XX)
16 \(K\)-theory (19-XX)
14 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)
7 Several complex variables and analytic spaces (32-XX)
7 Geometry (51-XX)
6 General and overarching topics; collections (00-XX)
6 History and biography (01-XX)
6 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
5 Probability theory and stochastic processes (60-XX)
4 Information and communication theory, circuits (94-XX)
3 Number theory (11-XX)
3 Real functions (26-XX)
3 Convex and discrete geometry (52-XX)
3 Operations research, mathematical programming (90-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Measure and integration (28-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 Operator theory (47-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

714 Publications have been cited 5,550 times in 3,040 Documents Cited by Year
Higher-dimensional algebra. VI: Lie 2-algebras. Zbl 1057.17011
Baez, John C.; Crans, Alissa S.
158
2004
Higher-dimensional algebra. V: 2-Groups. Zbl 1056.18002
Baez, John C.; Lauda, Aaron D.
134
2004
Categorical structures enriched in a quantaloid: categories, distributors and functors. Zbl 1079.18005
Stubbe, Isar
82
2005
Framed bicategories and monoidal fibrations. Zbl 1192.18005
Shulman, Michael
72
2008
Protomodularity, descent, and semidirect products. Zbl 0890.18003
Bourn, D.; Janelidze, G.
61
1998
Composing PROPs. Zbl 1062.18007
Lack, Stephen
58
2004
Categorical structures enriched in a quantaloid: tensored and cotensored categories. Zbl 1119.18005
Stubbe, Isar
58
2006
Characterization of protomodular varieties of universal algebras. Zbl 1021.08003
Bourn, Dominique; Janelidze, George
54
2003
Notes on enriched categories with colimits of some class. Zbl 1082.18004
Kelly, G. M.; Schmitt, V.
45
2005
On the representability of actions in a semi-abelian category. Zbl 1103.18006
Borceux, F.; Janelidze, G.; Kelly, G. M.
45
2005
Homotopy theory for algebras over polynomial monads. Zbl 1368.18006
Batanin, M. A.; Berger, C.
44
2017
Simplicial matrices and the nerves of weak \(n\)-categories I: Nerves of bicategories. Zbl 1046.18009
Duskin, John W.
40
2001
TFT Construction of RCFT correlators. V: Proof of modular invariance and factorisation. Zbl 1151.81038
Fjelstad, Jens; Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph
40
2006
Enriched Lawvere theories. Zbl 0943.18003
Power, John
39
1999
Localic completion of generalized metric spaces I. Zbl 1083.54019
Vickers, Steven
38
2005
Centrality and normality in protomodular categories. Zbl 1004.18004
Bourn, Dominique; Gran, Marino
38
2001
Connections on non-abelian gerbes and their holonomy. Zbl 1279.53024
Schreiber, Urs; Waldorf, Konrad
38
2013
Cartesian differential categories. Zbl 1262.18004
Blute, R. F.; Cockett, J. R. B.; Seely, R. A. G.
37
2009
The pointed subobject functor, \(3\times 3\) lemmas, and subtractivity of spans. Zbl 1234.18009
Janelidze, Zurab
37
2010
Familial 2-functors and parametric right adjoints. Zbl 1152.18005
Weber, Mark
34
2007
Categories in control. Zbl 1316.18009
Baez, John C.; Erbele, Jason
34
2015
Monads of effective descent type and comonadicity. Zbl 1085.18003
Mesablishvili, Bachuki
33
2006
Opmonoidal monads. Zbl 1018.18006
McCrudden, Paddy
33
2002
Distributive laws for pseudomonads. Zbl 0919.18004
Marmolejo, F.
32
1999
Introduction to coalgebra. Zbl 1080.18005
Adámek, Jiří
32
2005
\(\mathfrak V\)-Cat is locally presentable or locally bounded if \(\mathfrak V\) is so. Zbl 1003.18008
Kelly, G. M.; Lack, Stephen
32
2001
Frobenius algebras and ambidextrous adjunctions. Zbl 1092.18003
Lauda, Aaron D.
31
2006
A note on actions of a monoidal category. Zbl 1009.18005
Janelidze, G.; Kelly, G. M.
30
2001
Elementary quotient completion. Zbl 1288.03048
Maietti, Maria Emilia; Rosolini, Giuseppe
30
2013
Canonical and op-canonical lax algebras. Zbl 1088.18006
Seal, Gavin J.
29
2005
Doctrines whose structure forms a fully faithful adjoint string. Zbl 0878.18004
Marmolejo, F.
28
1997
Proof theory for full intuitionistic linear logic, bilinear logic, and MIX categories. Zbl 0879.03022
Cockett, J. R. B.; Seely, R. A. G.
28
1997
A compositional framework for passive linear networks. Zbl 1402.18005
Baez, John C.; Fong, Brendan
28
2018
Cubical sets and their site. Zbl 1022.18009
Grandis, Marco; Mauri, Luca
28
2003
On property-like structures. Zbl 0935.18005
Kelly, G. M.; Lack, Stephen
27
1997
A survey of definitions of \(n\)-category. Zbl 0987.18007
Leinster, Tom
27
2002
On sifted colimits and generalized varieties. Zbl 0971.18004
Adámek, Jiří; Rosický, Jiří
26
2001
Baer invariants in semi-abelian categories II: Homology. Zbl 1065.18012
Everaert, T.; Van der Linden, T.
26
2004
Isomorphisms between left and right adjoints. Zbl 1042.18008
Fausk, H.; Hu, P.; May, J. P.
26
2003
More morphisms between bundle gerbes. Zbl 1166.55005
Waldorf, Konrad
26
2007
Balanced coalgebroids. Zbl 0960.18005
Mccrudden, Paddy
25
2000
Baer invariants in semi-abelian categories I: General theory. Zbl 1065.18011
Everaert, T.; Van der Linden, T.
25
2004
Generalized Brown representability in homotopy categories. Zbl 1091.18002
Rosický, Jiří
25
2005
Algebraically coherent categories. Zbl 1366.18005
Cigoli, Alan S.; Gray, James R. A.; Van der Linden, Tim
25
2015
The theory and practice of Reedy categories. Zbl 1302.55014
Riehl, Emily; Verity, Dominic
25
2014
Approximable concepts, Chu spaces, and information systems. Zbl 1111.68132
Zhang, Guo-Qiang; Shen, Gongqin
25
2006
Generic morphisms, parametric representations and weakly cartesian monads. Zbl 1062.18008
Weber, Mark
24
2004
Higher dimensional algebra. VII: Groupoidification. Zbl 1229.18003
Baez, John C.; Hoffnung, Alexander E.; Walker, Christopher D.
24
2010
Decorated cospans. Zbl 1351.18003
Fong, Brendan
23
2015
Tannaka-Krein duality for compact quantum homogeneous spaces. I: General theory. Zbl 1337.46045
De Commer, Kenny; Yamashita, Makoto
23
2013
A unified framework for generalized multicategories. Zbl 1220.18003
Cruttwell, G. S. H.; Shulman, Michael A.
23
2010
Normal functors and strong protomodularity. Zbl 0947.18004
Bourn, Dominique
22
2000
Axiomatic cohesion. Zbl 1123.18001
Lawvere, F. William
22
2007
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
Resolutions by Polygraphs. Zbl 1020.18001
Métayer, François
21
2003
Action accessibility for categories of interest. Zbl 1307.18015
Montoli, Andrea
21
2010
Compact closed bicategories. Zbl 1356.18003
Stay, Michael
21
2016
Codensity and the ultrafilter monad. Zbl 1273.18009
Leinster, Tom
21
2013
Biequivalences in tricategories. Zbl 1252.18013
Gurski, Nick
21
2012
Categorical representations of categorical groups. Zbl 1108.18003
Barrett, John W.; Mackaay, Marco
21
2006
Symmetric monoidal categories model all connective spectra. Zbl 0876.55009
Thomason, R. W.
20
1995
Generic commutative separable algebras and cospans of graphs. Zbl 1087.18003
Rosebrugh, R.; Sabadini, N.; Walters, R. F. C.
20
2005
A convenient category for directed homotopy. Zbl 1157.18003
Fajstrup, L.; Rosický, J.
20
2008
Categories enriched over a quantaloid: Isbell adjunctions and Kan adjunctions. Zbl 1273.18022
Shen, Lili; Zhang, Dexue
20
2013
Injective hulls of partially ordered monoids. Zbl 1259.06019
Lambek, J.; Barr, Michael; Kennison, John F.; Raphael, R.
20
2012
Skew monoidales, skew warpings and quantum categories. Zbl 1252.18016
Lack, Stephen; Street, Ross
20
2012
Comparative smootheology. Zbl 1220.18013
Stacey, Andrew
20
2011
Dualizing cartesian and cocartesian fibrations. Zbl 1423.18025
Barwick, Clark; Glasman, Saul; Nardin, Denis
20
2018
The double powerlocale and exponentiation: A case study in geometric logic. Zbl 1061.06026
Vickers, Steven
19
2004
Vector fields and flows on differentiable stacks. Zbl 1206.37009
Hepworth, Richard
19
2009
Higher-dimensional categories with finite derivation type. Zbl 1190.18002
Guiraud, Yves; Malbos, Philippe
19
2009
Approximate Mal’tsev operations. Zbl 1172.18001
Bourn, Dominique; Janelidze, Zurab
19
2008
Hopf monoidal comonads. Zbl 1250.18006
Chikhladze, Dimitri; Lack, Stephen; Street, Ross
19
2010
Cartesian differential storage categories. Zbl 1330.18009
Blute, R.; Cockett, J. R. B.; Seely, R. A. G.
19
2015
Applications of Peiffer pairings in the Moore complex of a simplicial group. Zbl 0917.18006
Mutlu, A.; Porter, T.
18
1998
Pseudogroupoids and commutators. Zbl 1008.18006
Janelidze, George; Pedicchio, M. Cristina
18
2001
Props in network theory. Zbl 1400.18004
Baez, John C.; Coya, Brandon; Rebro, Franciscus
18
2018
Monoidal Grothendieck construction. Zbl 1442.18016
Moeller, Joe; Vasilakopoulou, Christina
18
2020
A C-system defined by a universe category. Zbl 1436.03311
Voevodsky, Vladimir
18
2015
Weakly Mal’cev categories. Zbl 1166.18005
Martins-Ferreira, N.
18
2008
Closedness properties of internal relations. I. A unified approach to Mal’tsev, unital and subtractive categories. Zbl 1104.18002
Janelidze, Zurab
18
2006
Polynomials in categories with pullbacks. Zbl 1330.18002
Weber, Mark
18
2015
Internal crossed modules and Peiffer condition. Zbl 1315.18012
Mantovani, Sandra; Metere, Giuseppe
17
2010
Monads on dagger categories. Zbl 1378.18003
Heunen, Chris; Karvonen, Martti
17
2016
On actions and strict actions in homological categories. Zbl 1275.18012
Hartl, Manfred; Loiseau, Bruno
17
2012
Bounded Archimedean \(\ell\)-algebras and Gelfand-Neumark-Stone duality. Zbl 1314.06020
Bezhanishvili, Guram; Morandi, Patrick J.; Olberding, Bruce
17
2013
Simplicial nerve of an \(\mathcal A_\infty\)-category. Zbl 1360.18023
Faonte, Giovanni
17
2017
Freeness conditions for 2-crossed modules and complexes. Zbl 0917.18004
Mutlu, A.; Porter, T.
16
1998
Double categories, 2-categories, thin structures and connections. Zbl 0918.18005
Brown, Ronald; Mosa, Ghafar H.
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
The Hopf algebra of Möbius intervals. Zbl 1236.18001
Lawvere, F. W.; Menni, M.
16
2010
Higher dimensional Peiffer elements in simplicial commutative algebras. Zbl 0874.18011
Arvasi, Z.; Porter, T.
15
1997
The reflectiveness of covering morphisms in algebra and geometry. Zbl 0866.18004
Janelidze, G.; Kelly, G. M.
15
1997
Operads in higher-dimensional category theory. Zbl 1065.18006
Leinster, Tom
15
2004
Enriched algebraic theories and monads for a system of arities. Zbl 1337.18002
Lucyshyn-Wright, Rory B. B.
15
2016
Joyal’s arithmetic universe as list-arithmetic pretopos. Zbl 1245.03111
Maietti, Maria Emilia
15
2010
On Yetter’s invariant and an extension of the Dijkgraaf-Witten invariant to categorical groups. Zbl 1119.18009
Martins, Joao Faria; Porter, Timothy
15
2007
Involutive categories, colored \(\ast\)-operads and quantum field theory. Zbl 1406.18005
Benini, Marco; Schenkel, Alexander; Woike, Lukas
15
2019
A theory of enriched sketches. Zbl 0981.18006
Borceux, F.; Quinteiro, C.; Rosický, J.
14
1998
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
Fréchet modules and descent. Zbl 1512.46053
Ben-Bassat, Oren; Kremnizer, Kobi
2
2023
Enhanced twisted arrow categories. Zbl 1520.18018
Abellán García, Fernando; Stern, Walker H.
1
2023
Pointed semibiproducts of monoids. Zbl 1514.18014
Martins-Ferreira, Nelson
1
2023
Enriched locally generated categories. Zbl 1492.18006
Di Liberti, Ivan; Rosický, Jiří
7
2022
Weak Fraïssé categories. Zbl 1502.18004
Kubiś, Wiesław
3
2022
A modular functor from state sums for finite tensor categories and their bimodules. Zbl 1494.18012
Fuchs, Jürgen; Schaumann, Gregor; Schweigert, Christoph
3
2022
On dualizable objects in monoidal bicategories. Zbl 1494.18016
Pstrągowski, Piotr
3
2022
Q-system completion is a 3-functor. Zbl 1492.46070
Chen, Quan; Penneys, David
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
Cohomologies, extensions and deformations of differential algebras of arbitrary weight. Zbl 1517.16007
Guo, Li; Li, Yunnan; Sheng, Yunhe; Zhou, Guodong
2
2022
Locally bounded enriched categories. Zbl 1493.18001
Lucyshyn-Wright, Rory B. B.; Parker, Jason
2
2022
The matrix taxonomy of finitely complete categories. Zbl 1499.18018
Hoefnagel, Michael; Jacqmin, Pierre-Alain; Janelidze, Zurab
2
2022
Central extensions of associative algebras and weakly action representable categories. Zbl 1505.18014
Janelidze, George
2
2022
On Krull-Schmidt bicategories. Zbl 1490.18005
Dell’Ambrogio, Ivo
1
2022
Twisted arrow categories, operads and Segal conditions. Zbl 1484.18008
Burkin, Sergei
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
On the dearth of coproducts in the category of locally compact groups. Zbl 1507.22018
Chirvasitu, Alexandru
1
2022
Extensivity of categories of relational structures. Zbl 1492.18004
Parker, Jason
1
2022
Double fibrations. Zbl 1516.18017
Cruttwell, G. S. H.; Lambert, M. J.; Pronk, D. A.; Szyld, M.
1
2022
Presentations and algebraic colimits of enriched monads for a subcategory of arities. Zbl 1505.18008
Lucyshyn-Wright, Rory B. B.; Parker, Jason
1
2022
Moment categories and operads. Zbl 1505.18004
Berger, Clemens
1
2022
Every elementary higher topos has a natural number object. Zbl 1464.18006
Rasekh, Nima
4
2021
Left properness of flows. Zbl 1481.18027
Gaucher, Philippe
4
2021
A categorical approach to quantum moment maps. Zbl 1468.18019
Safronov, Pavel
3
2021
A practical type theory for symmetric monoidal categories. Zbl 1474.18031
Shulman, Michael
3
2021
Closed dendroidal sets and unital operads. Zbl 1477.18042
Moerdijk, Ieke
2
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
On the formal theory of pseudomonads and pseudodistributive laws. Zbl 1457.18023
Gambino, Nicola; Lobbia, Gabriele
2
2021
Pivotal objects in monoidal categories and their Hopf monads. Zbl 1458.18009
Ghobadi, Aryan
2
2021
Parsummable categories as a strictification of symmetric monoidal categories. Zbl 1474.18030
Lenz, Tobias
2
2021
Descent data and absolute Kan extensions. Zbl 1466.18013
Lucatelli Nunes, Fernando
2
2021
Discrete double fibrations. Zbl 1464.18020
Lambert, Michael
2
2021
Algebraic exponentiation for Lie algebras. Zbl 1467.18018
García-Martínez, Xabier; Gray, James R. A.
2
2021
On sifted colimits in the presence of pullbacks. Zbl 1477.18006
Chen, Ruiyuan
1
2021
Dependent products and 1-inaccessible universes. Zbl 1466.18015
Lo Monaco, Giulio
1
2021
(Co)ends for representations of tensor categories. Zbl 1467.18035
Bortolussi, Noelia; Mombelli, Martín
1
2021
Ladders and completion of triangulated categories. Zbl 1457.18004
Sun, Yongliang; Zhang, Yaohua
1
2021
Simplicial sets inside cubical sets. Zbl 1467.03007
Streicher, Thomas; Weinberger, Jonathan
1
2021
A remarkable aspect of internal groupoids in regular Mal’tsev categories. Zbl 1482.18001
Bourn, Dominique
1
2021
A closed model structure on the category of weakly unital dg categories. II. Zbl 1461.18016
Panero, Piergiorgio; Shoikhet, Boris
1
2021
A homotopy theory of coherently commutative monoidal quasi-categories. Zbl 1476.18014
Sharma, Amit
1
2021
Tensor-restriction categories. Zbl 1464.18016
Heunen, Chris; Lemay, Jean-Simon Pacaud
1
2021
Van Kampen’s theorem for locally sectionable maps. Zbl 1492.18013
Brown, Ronald; Janelidze, George; Peschke, George
1
2021
A note on the categorical notions of normal subobject and of equivalence class. Zbl 1506.18002
Bourn, Dominique; Metere, Giuseppe
1
2021
Spatial realization of a Lie algebra and the bar construction. Zbl 1471.55013
Félix, Yves; Tanré, Daniel
1
2021
The comprehensive factorization of Burroni’s \(\mathbb{T}\)-functors. Zbl 1474.18006
Tholen, Walter; Yeganeh, Leila
1
2021
The canonical intensive quality of a cohesive topos. Zbl 1469.18004
Marmolejo, F.; Menni, M.
1
2021
Extensions and glueing in double categories. Zbl 1467.18043
Niefield, Susan
1
2021
\((T,\mathbf{V})\)-\(\mathbf{Cat}\) is extensive. Zbl 1471.18005
Clementino, Maria Manuel
1
2021
Coherent nerves for higher quasicategories. Zbl 1468.18003
Gindi, Harry
1
2021
Locally anisotropic toposes. II. Zbl 1467.18005
Funk, Jonathon; Hofstra, Pieter
1
2021
Cauchy completeness for DG-categories. Zbl 1467.18011
Nikolić, Branko; Street, Ross; Tendas, Giacomo
1
2021
Intrinsic Schreier special objects. Zbl 1482.18005
Montoli, Andrea; Rodelo, Diana; van der Linden, Tim
1
2021
Autocompact objects of Ab5 categories. Zbl 1475.18012
Dvořák, Josef; Žemlička, Jan
1
2021
Monoidal Grothendieck construction. Zbl 1442.18016
Moeller, Joe; Vasilakopoulou, Christina
18
2020
Orbifolds of Reshetikhin-Turaev TQFTs. Zbl 1440.57016
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12
2020
Classification of constructible cosheaves. Zbl 1442.32039
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2020
Structured cospans. Zbl 1451.18008
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The law of excluded middle in the simplicial model of type theory. Zbl 1452.03038
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The 2-Chu-Dialectica construction and the polycategory of multivariable adjunctions. Zbl 1430.18019
Shulman, Michael
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A new Galois structure in the category of internal preorders. Zbl 1435.18009
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\(\overline{\operatorname{Spec}\mathbb{Z}}\) and the Gromov norm. Zbl 1444.16061
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Weak model categories in classical and constructive mathematics. Zbl 1445.55013
Henry, Simon
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A characterisation of the category of compact Hausdorff spaces. Zbl 1451.18023
Marra, Vincenzo; Reggio, Luca
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2020
Braided skew monoidal categories. Zbl 1431.18012
Bourke, John; Lack, Stephen
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2020
Rank-based persistence. Zbl 1439.55006
Bergomi, Mattia G.; Vertechi, Pietro
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2020
Information structures and their cohomology. Zbl 1448.55011
Vigneaux, Juan Pablo
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2020
The folk model category structure on strict \(\omega\)-categories is monoidal. Zbl 1443.18008
Ara, Dimitri; Lucas, Maxime
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Augmented virtual double categories. Zbl 1440.18044
Koudenburg, Seerp Roald
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An intrinsic approach to the non-abelian tensor product via internal crossed squares. Zbl 1467.18012
di Micco, Davide; Van der Linden, Tim
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The existential completion. Zbl 1446.18007
Trotta, Davide
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Lax orthogonal factorisations in ordered structures. Zbl 1446.18015
Manuel Clementino, Maria; López Franco, Ignacio
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Homotopy theory with marked additive categories. Zbl 1440.18011
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4
2020
Multiple vector bundles: cores, splittings and decompositions. Zbl 1442.53016
Heuer, Malte; Jotz Lean, Madeleine
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2020
Network models. Zbl 1442.18014
Baez, John C.; Foley, John; Moeller, Joe; Pollard, Blake S.
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2020
Completely distributive enriched categories are not always continuous. Zbl 1444.18007
Lai, Hongliang; Zhang, Dexue
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Internal split opfibrations and cofunctors. Zbl 1456.18008
Clarke, Bryce
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Internal partial combinatory algebras and their slices. Zbl 1457.03079
Zoethout, Jetze
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The word problem for double categories. Zbl 1444.18021
Delpeuch, Antonin
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Morita invariance of equivariant Lusternik-Schnirelmann category and invariant topological complexity. Zbl 1462.55001
Angel, A.; Colman, H.; Grant, M.; Oprea, J.
2
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\(L'\)-localization in an \(\infty\)-topos. Zbl 1439.18024
Vergura, Marco
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2020
Segal enriched categories and applications. Zbl 1443.18002
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2
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Formal composition of hybrid systems. Zbl 1448.18005
Culbertson, Jared; Gustafson, Paul; Koditschek, Daniel E.; Stiller, Peter F.
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Antoun, Jamie; Voigt, Christian
2
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Cohesive toposes of sheaves on monoids of continuous endofunctions of the unit interval. Zbl 1441.18014
Turcio, Luis Jesús
2
2020
Exponentiability in double categories and the glueing construction. Zbl 1451.18040
Niefield, Susan
2
2020
Symmetric monoidal categories and \(\Gamma\)-categories. Zbl 1440.18033
Sharma, Amit
2
2020
Cocompletion of restriction categories. Zbl 1441.18005
Garner, Richard; Lin, Daniel
2
2020
On the construction of limits and colimits in \(\infty\)-categories. Zbl 1451.18043
Riehl, Emily; Verity, Dominic
1
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PROPs for involutive monoids and involutive bimonoids. Zbl 1455.16030
Graves, Daniel
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Exact sequences in the enchilada category. Zbl 1452.46053
Eryüzlü, M.; Kaliszewski, S.; Quigg, John
1
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A localization of bicategories via homotopies. Zbl 1444.18023
Descotte, M. E.; Dubuc, E. J.; Szyld, M.
1
2020
Lax limits of model categories. Zbl 1440.18047
Harpaz, Yonatan
1
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A recipe for black box functors. Zbl 1442.18043
Fong, Brendan; Sarazola, Maru
1
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Involutive categories, colored \(\ast\)-operads and quantum field theory. Zbl 1406.18005
Benini, Marco; Schenkel, Alexander; Woike, Lukas
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Cited by 2,302 Authors

40 Gran, Marino
39 Rosický, Jiří
37 Lack, Stephen
35 Bourn, Dominique
35 Hofmann, Dirk
34 Clementino, Maria Manuel
31 van der Linden, Tim
29 Garner, Richard
28 Adámek, Jiří
27 Sheng, Yunhe
27 Tholen, Walter
25 Martins-Ferreira, Nelson
24 Cockett, J. Robin B.
23 Janelidze, George
23 Janelidze, Zurab
22 Schweigert, Christoph
21 Vitale, Enrico Maria
20 Baez, John C.
20 Bezhanishvili, Guram
20 Kock, Joachim
20 Mantovani, Sandra
20 Metere, Giuseppe
20 Shulman, Michael A.
20 Sobociński, Paweł
20 Zanasi, Fabio
19 Li, Qingguo
18 Casas Miras, José Manuel
18 Mesablishvili, Bachuki
18 Montoli, Andrea
18 Sämann, Christian
18 Street, Ross H.
18 Zhang, Dexue
17 Böhm, Gabriella
17 Cegarra, Antonio Martínez
17 Lai, Hongliang
17 Milius, Stefan
16 Gray, James Richard Andrew
15 Bonchi, Filippo
15 Bourke, John
15 Cigoli, Alan S.
15 Coecke, Bob
15 Fuchs, Jürgen
15 Heunen, Chris
15 Jacqmin, Pierre-Alain
15 Pacaud Lemay, Jean-Simon
14 Morandi, Patrick J.
14 Runkel, Ingo
13 Everaert, Tomas
13 Fritz, Tobias
13 Hackney, Philip
13 Power, John
13 Rodelo, Diana
13 Shen, Lili
13 Zhao, Bin
12 Haugseng, Rune
12 Kong, Liang
12 Kurz, Alexander
12 Menni, Matías
12 Schenkel, Alexander
12 Velebil, Jiří
12 Waldorf, Konrad
11 Benini, Marco
11 Borceux, Francis
11 Chatterjee, Saikat
11 Fiore, Marcelo P.
11 García-Martínez, Xabier
11 Grandis, Marco
11 Kissinger, Aleks
11 Ladra González, Manuel
11 López Franco, Ignacio L.
11 Lucyshyn-Wright, Rory B. B.
11 Martins, João Nuno Goncalves Faria
11 Rosolini, Giuseppe
11 Rovelli, Martina
11 Sobral, Manuela
11 Staton, Sam
11 Vickers, Steven
11 Zucchini, Roberto
10 Batanin, Michael A.
10 Bunk, Severin
10 Caramello, Olivia
10 Chirvăsitu, Alexandru
10 Das, Apurba
10 Gaucher, Philippe
10 Höhle, Ulrich
10 Kock, Anders Jungersen
10 Lucatelli Nunes, Fernando
10 Maietti, Maria Emilia
10 Ozornova, Viktoriya
10 Paré, Robert
10 Riehl, Emily
10 Sousa, Lurdes
10 Spivak, David I.
10 Stubbe, Isar
10 Ulualan, Erdal
10 Wisbauer, Robert
9 Ara, Dimitri
9 Bunke, Ulrich
9 Cruttwell, Geoffrey S. H.
9 Fong, Brendan
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Cited in 285 Journals

299 Journal of Pure and Applied Algebra
248 Applied Categorical Structures
224 Theory and Applications of Categories
179 Advances in Mathematics
94 Journal of Algebra
75 Topology and its Applications
58 Theoretical Computer Science
58 MSCS. Mathematical Structures in Computer Science
57 Communications in Mathematical Physics
57 Algebraic & Geometric Topology
53 Logical Methods in Computer Science
52 Journal of Homotopy and Related Structures
48 Journal of Geometry and Physics
47 Fuzzy Sets and Systems
44 Journal of High Energy Physics
41 Annals of Pure and Applied Logic
30 Algebra Universalis
27 Communications in Algebra
26 Journal of Algebra and its Applications
26 Higher Structures
25 Transactions of the American Mathematical Society
22 Journal of Mathematical Physics
21 Letters in Mathematical Physics
21 Semigroup Forum
19 Algebras and Representation Theory
19 Tbilisi Mathematical Journal
18 Cahiers de Topologie et Géométrie Différentielle Catégoriques
17 Information and Computation
16 Journal of the London Mathematical Society. Second Series
16 Proceedings of the American Mathematical Society
16 Journal of Noncommutative Geometry
15 Journal of Logical and Algebraic Methods in Programming
14 Selecta Mathematica. New Series
13 Mathematische Zeitschrift
13 Quaestiones Mathematicae
13 Categories and General Algebraic Structures with Applications
13 Journal of Applied and Computational Topology
12 Cahiers de Topologie et Géométrie Différentielle Catégoriques
12 Documenta Mathematica
12 Communications in Contemporary Mathematics
11 Turkish Journal of Mathematics
10 Nuclear Physics. B
10 The Journal of Symbolic Logic
10 Mathematical Logic Quarterly (MLQ)
10 Geometry & Topology
10 Hacettepe Journal of Mathematics and Statistics
10 Forum of Mathematics, Sigma
9 Bulletin of the London Mathematical Society
9 Order
9 Differential Geometry and its Applications
9 Journal of Geometric Mechanics
8 Reviews in Mathematical Physics
8 Memoirs of the American Mathematical Society
7 Israel Journal of Mathematics
7 Compositio Mathematica
7 Journal of Knot Theory and its Ramifications
7 Quantum Topology
7 Annals of \(K\)-Theory
6 Mathematische Annalen
6 Studia Logica
6 Journal of the American Mathematical Society
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 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
6 Logica Universalis
6 Journal of Physics A: Mathematical and Theoretical
5 Fortschritte der Physik
5 Collectanea Mathematica
5 Commentationes Mathematicae Universitatis Carolinae
5 Inventiones Mathematicae
5 International Journal of Mathematics
5 Georgian Mathematical Journal
5 The New York Journal of Mathematics
5 Soft Computing
5 The Journal of Logic and Algebraic Programming
5 Comptes Rendus. Mathématique. Académie des Sciences, Paris
5 Journal of Topology
5 Science China. 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 Journal of Philosophical Logic
4 Journal für die Reine und Angewandte Mathematik
4 Pacific Journal of Mathematics
4 International Journal of Approximate Reasoning
4 International Journal of Algebra and Computation
4 Bulletin of the Belgian Mathematical Society - Simon Stevin
4 Journal of Functional Programming
4 Abstract and Applied Analysis
4 Annales Henri Poincaré
4 Central European Journal of Mathematics
4 Journal of the Institute of Mathematics of Jussieu
4 European Journal of Mathematics
3 Journal of Mathematical Analysis and Applications
3 Annales de l’Institut Fourier
3 Archivum Mathematicum
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Cited in 57 Fields

2,060 Category theory; homological algebra (18-XX)
560 Algebraic topology (55-XX)
394 Computer science (68-XX)
384 Mathematical logic and foundations (03-XX)
295 Associative rings and algebras (16-XX)
288 Quantum theory (81-XX)
282 Order, lattices, ordered algebraic structures (06-XX)
261 Group theory and generalizations (20-XX)
210 General topology (54-XX)
202 Nonassociative rings and algebras (17-XX)
181 General algebraic systems (08-XX)
153 Algebraic geometry (14-XX)
147 Differential geometry (53-XX)
137 Manifolds and cell complexes (57-XX)
127 Functional analysis (46-XX)
106 Topological groups, Lie groups (22-XX)
98 Global analysis, analysis on manifolds (58-XX)
85 \(K\)-theory (19-XX)
63 Combinatorics (05-XX)
62 Commutative algebra (13-XX)
33 Relativity and gravitational theory (83-XX)
22 Geometry (51-XX)
21 Mechanics of particles and systems (70-XX)
20 Dynamical systems and ergodic theory (37-XX)
20 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
19 Number theory (11-XX)
18 Probability theory and stochastic processes (60-XX)
17 Several complex variables and analytic spaces (32-XX)
17 Information and communication theory, circuits (94-XX)
14 Statistics (62-XX)
13 History and biography (01-XX)
12 Partial differential equations (35-XX)
12 Operator theory (47-XX)
11 Measure and integration (28-XX)
10 Field theory and polynomials (12-XX)
10 Convex and discrete geometry (52-XX)
9 General and overarching topics; collections (00-XX)
9 Statistical mechanics, structure of matter (82-XX)
8 Linear and multilinear algebra; matrix theory (15-XX)
7 Biology and other natural sciences (92-XX)
6 Real functions (26-XX)
6 Ordinary differential equations (34-XX)
5 Systems theory; control (93-XX)
4 Special functions (33-XX)
4 Abstract harmonic analysis (43-XX)
4 Operations research, mathematical programming (90-XX)
3 Functions of a complex variable (30-XX)
3 Numerical analysis (65-XX)
3 Optics, electromagnetic theory (78-XX)
2 Calculus of variations and optimal control; optimization (49-XX)
2 Mechanics of deformable solids (74-XX)
2 Mathematics education (97-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)

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