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: 885 Publications (since 1995) References Indexed: 286 Publications with 9,429 References. all top 5 Latest Issues 39 (2023) 38 (2022) 37 (2021) 36 (2021) 35 (2020) 34 (2019) 33 (2018) 32 (2017) 31 (2016) 30 (2015) 29 (2014) 28 (2013) 27 (2012/2013) 26 (2012) 25 (2011) 24 (2010) 23 (2010) 22 (2009) 21 (2008) 20 (2008) 19, Spec. Vol. CT2006 Conf. (2007) 18 (2007) 17 (2006) 16 (2006) 15, Spec. Vol. CT2004 Conf. (2005-2006) 14 (2005) 13 (2004) 12 (2004) 11 (2003) 10 (2002) 9, Spec. Vol. CT2000 Conf. (2001) 8 (2001) 7 (2000) 6 (1999) 5 (1999) 4 (1998) 3 (1997) 2 (1996) 1 (1995) all top 5 Authors 24 Barr, Michael 22 Rosický, Jiří 19 Wood, Richard J. 18 Adámek, Jiří 17 Cockett, J. Robin B. 17 Lack, Stephen 17 Street, Ross H. 15 Bourn, Dominique 15 Janelidze, George 14 Kennison, John F. 14 Raphael, Robert M. 13 Gran, Marino 12 Niefield, Susan B. 11 Baez, John C. 11 Grandis, Marco 11 Kelly, Gregory Maxwell 11 Menni, Matías 11 van der Linden, Tim 10 Janelidze, Zurab 10 Pronk, Dorette A. 10 Seely, Robert A. G. 10 Tholen, Walter 10 Vitale, Enrico Maria 9 Gray, James Richard Andrew 9 Kock, Anders Jungersen 9 Marmolejo, Francisco 9 Paré, Robert 9 Shulman, Michael A. 9 Weber, Mark 8 Gaucher, Philippe 8 Lucyshyn-Wright, Rory B. B. 8 Rosebrugh, Robert D. 7 Brown, Ronald 7 Clementino, Maria Manuel 7 Cruttwell, G. S. H. 7 Funk, Jonathon R. 7 Hofstra, Pieter J. W. 7 Lawvere, Francis William 7 Leinster, Tom 7 Rodelo, Diana 6 Borceux, Francis 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 Martins-Ferreira, Nelson 5 Pisani, Claudio 5 Quigg, John C. 5 Schweigert, Christoph 5 Steiner, Richard J. 5 Szyld, Martín 5 Velebil, Jiří 4 Blute, Richard F. 4 Böhm, Gabriella 4 Cheng, Eugenia 4 Courser, Kenny 4 Dawson, Robert James MacGregor 4 Freyd, Peter J. 4 Janelidze-Gray, Tamar 4 Karazeris, Panagis 4 Kenney, Toby 4 Mantovani, Sandra 4 Metere, Giuseppe 4 Milius, Stefan 4 Morandi, Patrick J. 4 Shen, Lili 4 Shoikhet, Boris B. 4 Sousa, Lurdes 4 Stubbe, Isar 4 Verity, Dominic 4 Voevodskiĭ, Vladimir Aleksandrovich 4 Xarez, João J. 3 Batanin, Michael A. 3 Bédos, Erik 3 Bunge, Marta C. 3 Caramello, Olivia 3 Carboni, Aurelio 3 Cegarra, Antonio Martínez 3 Chatterjee, Saikat 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 ...and 583 more Authors all top 5 Fields 835 Category theory; homological algebra (18-XX) 152 Algebraic topology (55-XX) 91 Mathematical logic and foundations (03-XX) 70 Group theory and generalizations (20-XX) 66 General algebraic systems (08-XX) 58 Order, lattices, ordered algebraic structures (06-XX) 58 Associative rings and algebras (16-XX) 56 General topology (54-XX) 43 Computer science (68-XX) 29 Functional analysis (46-XX) 28 Algebraic geometry (14-XX) 19 Nonassociative rings and algebras (17-XX) 19 Manifolds and cell complexes (57-XX) 18 Commutative algebra (13-XX) 17 Topological groups, Lie groups (22-XX) 17 Differential geometry (53-XX) 14 \(K\)-theory (19-XX) 13 Global analysis, analysis on manifolds (58-XX) 12 Combinatorics (05-XX) 12 Quantum theory (81-XX) 10 Field theory and polynomials (12-XX) 8 Dynamical systems and ergodic theory (37-XX) 6 History and biography (01-XX) 6 Several complex variables and analytic spaces (32-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 General and overarching topics; collections (00-XX) 5 Geometry (51-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 Operations research, mathematical programming (90-XX) 2 Linear and multilinear algebra; matrix theory (15-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 all cited Publications top 5 cited Publications Citations contained in zbMATH Open 641 Publications have been cited 4,510 times in 2,447 Documents Cited by ▼ Year ▼ Higher-dimensional algebra. VI: Lie 2-algebras. Zbl 1057.17011Baez, John C.; Crans, Alissa S. 127 2004 Higher-dimensional algebra. V: 2-Groups. Zbl 1056.18002Baez, John C.; Lauda, Aaron D. 116 2004 Categorical structures enriched in a quantaloid: categories, distributors and functors. Zbl 1079.18005Stubbe, Isar 74 2005 Protomodularity, descent, and semidirect products. Zbl 0890.18003Bourn, D.; Janelidze, G. 56 1998 Framed bicategories and monoidal fibrations. Zbl 1192.18005Shulman, Michael 52 2008 Categorical structures enriched in a quantaloid: tensored and cotensored categories. Zbl 1119.18005Stubbe, Isar 51 2006 Characterization of protomodular varieties of universal algebras. Zbl 1021.08003Bourn, Dominique; Janelidze, George 46 2003 Composing PROPs. Zbl 1062.18007Lack, Stephen 42 2004 On the representability of actions in a semi-abelian category. Zbl 1103.18006Borceux, F.; Janelidze, G.; Kelly, G. M. 40 2005 Notes on enriched categories with colimits of some class. Zbl 1082.18004Kelly, G. M.; Schmitt, V. 40 2005 Enriched Lawvere theories. Zbl 0943.18003Power, John 36 1999 Simplicial matrices and the nerves of weak \(n\)-categories I: Nerves of bicategories. Zbl 1046.18009Duskin, John W. 35 2001 Centrality and normality in protomodular categories. Zbl 1004.18004Bourn, Dominique; Gran, Marino 34 2001 Localic completion of generalized metric spaces I. Zbl 1083.54019Vickers, Steven 34 2005 The pointed subobject functor, \(3\times 3\) lemmas, and subtractivity of spans. Zbl 1234.18009Janelidze, Zurab 34 2010 TFT Construction of RCFT correlators. V: Proof of modular invariance and factorisation. Zbl 1151.81038Fjelstad, Jens; Fuchs, Jürgen; Runkel, Ingo; Schweigert, Christoph 32 2006 Connections on non-abelian gerbes and their holonomy. Zbl 1279.53024Schreiber, Urs; Waldorf, Konrad 32 2013 Monads of effective descent type and comonadicity. Zbl 1085.18003Mesablishvili, Bachuki 31 2006 Cartesian differential categories. Zbl 1262.18004Blute, R. F.; Cockett, J. R. B.; Seely, R. A. G. 29 2009 Homotopy theory for algebras over polynomial monads. Zbl 1368.18006Batanin, M. A.; Berger, C. 29 2017 \(\mathfrak V\)-Cat is locally presentable or locally bounded if \(\mathfrak V\) is so. Zbl 1003.18008Kelly, G. M.; Lack, Stephen 28 2001 Canonical and op-canonical lax algebras. Zbl 1088.18006Seal, Gavin J. 28 2005 Familial 2-functors and parametric right adjoints. Zbl 1152.18005Weber, Mark 28 2007 Categories in control. Zbl 1316.18009Baez, John C.; Erbele, Jason 27 2015 Distributive laws for pseudomonads. Zbl 0919.18004Marmolejo, F. 27 1999 Frobenius algebras and ambidextrous adjunctions. Zbl 1092.18003Lauda, Aaron D. 27 2006 Baer invariants in semi-abelian categories II: Homology. Zbl 1065.18012Everaert, T.; Van der Linden, T. 26 2004 Proof theory for full intuitionistic linear logic, bilinear logic, and MIX categories. Zbl 0879.03022Cockett, J. R. B.; Seely, R. A. G. 26 1997 Baer invariants in semi-abelian categories I: General theory. Zbl 1065.18011Everaert, T.; Van der Linden, T. 25 2004 Introduction to coalgebra. Zbl 1080.18005Adámek, Jiří 25 2005 Doctrines whose structure forms a fully faithful adjoint string. Zbl 0878.18004Marmolejo, F. 25 1997 Cubical sets and their site. Zbl 1022.18009Grandis, Marco; Mauri, Luca 24 2003 A note on actions of a monoidal category. Zbl 1009.18005Janelidze, G.; Kelly, G. M. 24 2001 On property-like structures. Zbl 0935.18005Kelly, G. M.; Lack, Stephen 23 1997 A survey of definitions of \(n\)-category. Zbl 0987.18007Leinster, Tom 23 2002 Generic morphisms, parametric representations and weakly cartesian monads. Zbl 1062.18008Weber, Mark 22 2004 Algebraically coherent categories. Zbl 1366.18005Cigoli, Alan S.; Gray, James R. A.; Van der Linden, Tim 22 2015 Elementary quotient completion. Zbl 1288.03048Maietti, Maria Emilia; Rosolini, Giuseppe 22 2013 Higher dimensional algebra. VII: Groupoidification. Zbl 1229.18003Baez, John C.; Hoffnung, Alexander E.; Walker, Christopher D. 22 2010 More morphisms between bundle gerbes. Zbl 1166.55005Waldorf, Konrad 22 2007 Pure morphisms of commutative rings are effective descent morphisms for modules. A new proof. Zbl 0937.13002Mesablishvili, Bachuki 21 2000 Opmonoidal monads. Zbl 1018.18006McCrudden, Paddy 21 2002 The theory and practice of Reedy categories. Zbl 1302.55014Riehl, Emily; Verity, Dominic 21 2014 Generalized Brown representability in homotopy categories. Zbl 1091.18002Rosický, Jiří 21 2005 Commutator theory in strongly protomodular categories. Zbl 1068.18006Bourn, Dominique 20 2004 Categorical representations of categorical groups. Zbl 1108.18003Barrett, John W.; Mackaay, Marco 20 2006 Approximable concepts, Chu spaces, and information systems. Zbl 1111.68132Zhang, Guo-Qiang; Shen, Gongqin 20 2006 Compact closed bicategories. Zbl 1356.18003Stay, Michael 20 2016 On sifted colimits and generalized varieties. Zbl 0971.18004Adámek, Jiří; Rosický, Jiří 20 2001 Normal functors and strong protomodularity. Zbl 0947.18004Bourn, Dominique 19 2000 Approximate Mal’tsev operations. Zbl 1172.18001Bourn, Dominique; Janelidze, Zurab 19 2008 Injective hulls of partially ordered monoids. Zbl 1259.06019Lambek, J.; Barr, Michael; Kennison, John F.; Raphael, R. 19 2012 Skew monoidales, skew warpings and quantum categories. Zbl 1252.18016Lack, Stephen; Street, Ross 19 2012 Action accessibility for categories of interest. Zbl 1307.18015Montoli, Andrea 19 2010 Codensity and the ultrafilter monad. Zbl 1273.18009Leinster, Tom 19 2013 Balanced coalgebroids. Zbl 0960.18005Mccrudden, Paddy 18 2000 The double powerlocale and exponentiation: A case study in geometric logic. Zbl 1061.06026Vickers, Steven 18 2004 A compositional framework for passive linear networks. Zbl 1402.18005Baez, John C.; Fong, Brendan 18 2018 Pseudogroupoids and commutators. Zbl 1008.18006Janelidze, George; Pedicchio, M. Cristina 18 2001 Applications of Peiffer pairings in the Moore complex of a simplicial group. Zbl 0917.18006Mutlu, A.; Porter, T. 18 1998 Isomorphisms between left and right adjoints. Zbl 1042.18008Fausk, H.; Hu, P.; May, J. P. 17 2003 Decorated cospans. Zbl 1351.18003Fong, Brendan 17 2015 Biequivalences in tricategories. Zbl 1252.18013Gurski, Nick 17 2012 Tannaka-Krein duality for compact quantum homogeneous spaces. I: General theory. Zbl 1337.46045De Commer, Kenny; Yamashita, Makoto 17 2013 A unified framework for generalized multicategories. Zbl 1220.18003Cruttwell, G. S. H.; Shulman, Michael A. 17 2010 Resolutions by Polygraphs. Zbl 1020.18001Métayer, François 16 2003 Weakly Mal’cev categories. Zbl 1166.18005Martins-Ferreira, N. 16 2008 Closedness properties of internal relations. I. A unified approach to Mal’tsev, unital and subtractive categories. Zbl 1104.18002Janelidze, Zurab 16 2006 A C-system defined by a universe category. Zbl 1436.03311Voevodsky, Vladimir 16 2015 Internal crossed modules and Peiffer condition. Zbl 1315.18012Mantovani, Sandra; Metere, Giuseppe 16 2010 Cartesian differential storage categories. Zbl 1330.18009Blute, R.; Cockett, J. R. B.; Seely, R. A. G. 16 2015 Double categories, 2-categories, thin structures and connections. Zbl 0918.18005Brown, Ronald; Mosa, Ghafar H. 16 1999 Generic commutative separable algebras and cospans of graphs. Zbl 1087.18003Rosebrugh, R.; Sabadini, N.; Walters, R. F. C. 16 2005 Categories enriched over a quantaloid: Isbell adjunctions and Kan adjunctions. Zbl 1273.18022Shen, Lili; Zhang, Dexue 16 2013 On actions and strict actions in homological categories. Zbl 1275.18012Hartl, Manfred; Loiseau, Bruno 16 2012 Axiomatic cohesion. Zbl 1123.18001Lawvere, F. William 16 2007 Symmetric monoidal categories model all connective spectra. Zbl 0876.55009Thomason, R. W. 15 1995 Operads in higher-dimensional category theory. Zbl 1065.18006Leinster, Tom 15 2004 Differential restriction categories. Zbl 1260.14004Cockett, J. R. B.; Cruttwell, G. S. H.; Gallagher, J. D. 15 2011 Vector fields and flows on differentiable stacks. Zbl 1206.37009Hepworth, Richard 15 2009 Joyal’s arithmetic universe as list-arithmetic pretopos. Zbl 1245.03111Maietti, Maria Emilia 15 2010 Polynomials in categories with pullbacks. Zbl 1330.18002Weber, Mark 15 2015 Exponentiability in categories of lax algebras. (Dedicated to Nico Pumplün on the occasion of his seventieth birthday). Zbl 1032.18002Clementino, Maria Manuel; Hofmann, Dirk; Tholen, Walter 15 2003 Higher dimensional Peiffer elements in simplicial commutative algebras. Zbl 0874.18011Arvasi, Z.; Porter, T. 15 1997 Hopf monoidal comonads. Zbl 1250.18006Chikhladze, Dimitri; Lack, Stephen; Street, Ross 15 2010 Higher-dimensional categories with finite derivation type. Zbl 1190.18002Guiraud, Yves; Malbos, Philippe 14 2009 Monads on dagger categories. Zbl 1378.18003Heunen, Chris; Karvonen, Martti 14 2016 Crossed squares and 2-crossed modules of commutative algebras. Zbl 0896.18005Arvasi, Zekeriya 14 1997 Freeness conditions for 2-crossed modules and complexes. Zbl 0917.18004Mutlu, A.; Porter, T. 14 1998 Simplicial nerve of an \(\mathcal A_\infty\)-category. Zbl 1360.18023Faonte, Giovanni 14 2017 Bounded Archimedean \(\ell\)-algebras and Gelfand-Neumark-Stone duality. Zbl 1314.06020Bezhanishvili, Guram; Morandi, Patrick J.; Olberding, Bruce 14 2013 A convenient category for directed homotopy. Zbl 1157.18003Fajstrup, L.; Rosický, J. 14 2008 On extensions of lax monads. Zbl 1085.18006Clementino, Maria Manuel; Hofmann, Dirk 13 2004 On Yetter’s invariant and an extension of the Dijkgraaf-Witten invariant to categorical groups. Zbl 1119.18009Martins, Joao Faria; Porter, Timothy 13 2007 Homology of \(n\)-fold groupoids. Zbl 1229.18014Everaert, Tomas; Gran, Marino 13 2010 Abstract physical traces. Zbl 1065.18005Abramsky, Samson; Coecke, Bob 13 2005 The reflectiveness of covering morphisms in algebra and geometry. Zbl 0866.18004Janelidze, G.; Kelly, G. M. 13 1997 The Hopf algebra of Möbius intervals. Zbl 1236.18001Lawvere, F. W.; Menni, M. 13 2010 Remarks on punctual local connectedness. Zbl 1239.18004Johnstone, Peter 13 2011 Comparative smootheology. Zbl 1220.18013Stacey, Andrew 13 2011 Q-system completion is a 3-functor. Zbl 1492.46070Chen, Quan; Penneys, David 1 2022 Enriched locally generated categories. Zbl 1492.18006Di Liberti, Ivan; Rosický, Jiří 1 2022 On the dearth of coproducts in the category of locally compact groups. Zbl 07552811Chirvasitu, Alexandru 1 2022 Every elementary higher topos has a natural number object. Zbl 1464.18006Rasekh, Nima 4 2021 Algebraic exponentiation for Lie algebras. Zbl 1467.18018García-Martínez, Xabier; Gray, James R. A. 2 2021 A categorical approach to quantum moment maps. Zbl 1468.18019Safronov, Pavel 2 2021 Dependent products and 1-inaccessible universes. Zbl 1466.18015Lo Monaco, Giulio 1 2021 The Moore complex of a simplicial cocommutative Hopf algebra. Zbl 1466.16028Emir, Kadir 1 2021 Simplicial sets inside cubical sets. Zbl 1467.03007Streicher, Thomas; Weinberger, Jonathan 1 2021 Pivotal objects in monoidal categories and their Hopf monads. Zbl 1458.18009Ghobadi, Aryan 1 2021 A remarkable aspect of internal groupoids in regular Mal’tsev categories. Zbl 1482.18001Bourn, Dominique 1 2021 Left properness of flows. Zbl 1481.18027Gaucher, Philippe 1 2021 Tensor-restriction categories. Zbl 1464.18016Heunen, Chris; Lemay, Jean-Simon Pacaud 1 2021 Discrete double fibrations. Zbl 1464.18020Lambert, Michael 1 2021 Van Kampen’s theorem for locally sectionable maps. Zbl 1492.18013Brown, Ronald; Janelidze, George; Peschke, George 1 2021 Closed dendroidal sets and unital operads. 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Zbl 1439.18024Vergura, Marco 2 2020 The folk model category structure on strict \(\omega\)-categories is monoidal. Zbl 1443.18008Ara, Dimitri; Lucas, Maxime 2 2020 Weak model categories in classical and constructive mathematics. Zbl 1445.55013Henry, Simon 2 2020 Cohesive toposes of sheaves on monoids of continuous endofunctions of the unit interval. Zbl 1441.18014Turcio, Luis Jesús 2 2020 Segal enriched categories and applications. Zbl 1443.18002Bacard, Hugo V. 2 2020 An intrinsic approach to the non-abelian tensor product via internal crossed squares. Zbl 1467.18012di Micco, Davide; Van der Linden, Tim 2 2020 Multiple vector bundles: cores, splittings and decompositions. Zbl 1442.53016Heuer, Malte; Jotz Lean, Madeleine 2 2020 Formal composition of hybrid systems. Zbl 1448.18005Culbertson, Jared; Gustafson, Paul; Koditschek, Daniel E.; Stiller, Peter F. 2 2020 Internal partial combinatory algebras and their slices. Zbl 1457.03079Zoethout, Jetze 2 2020 Exact sequences in the enchilada category. Zbl 1452.46053Eryüzlü, M.; Kaliszewski, S.; Quigg, John 1 2020 Homotopy theory with marked additive categories. Zbl 1440.18011Bunke, Ulrich; Engel, Alexander; Kasprowski, Daniel; Winges, Christoph 1 2020 The word problem for double categories. Zbl 1444.18021Delpeuch, Antonin 1 2020 Completely distributive enriched categories are not always continuous. Zbl 1444.18007Lai, Hongliang; Zhang, Dexue 1 2020 Augmented virtual double categories. Zbl 1440.18044Koudenburg, Seerp Roald 1 2020 Network models. Zbl 1442.18014Baez, John C.; Foley, John; Moeller, Joe; Pollard, Blake S. 1 2020 Cocompletion of restriction categories. Zbl 1441.18005Garner, Richard; Lin, Daniel 1 2020 Lax limits of model categories. Zbl 1440.18047Harpaz, Yonatan 1 2020 A recipe for black box functors. Zbl 1442.18043Fong, Brendan; Sarazola, Maru 1 2020 Internal split opfibrations and cofunctors. Zbl 1456.18008Clarke, Bryce 1 2020 On bicolimits of \(C^*\)-categories. Zbl 1448.18030Antoun, Jamie; Voigt, Christian 1 2020 Involutive categories, colored \(\ast\)-operads and quantum field theory. Zbl 1406.18005Benini, Marco; Schenkel, Alexander; Woike, Lukas 12 2019 Majority categories. Zbl 1411.18002Hoefnagel, Michael Anton 9 2019 A probability monad as the colimit of spaces of finite samples. Zbl 1410.60007Fritz, Tobias; Perrone, Paolo 8 2019 Six operations formalism for generalized operads. Zbl 1430.18016Ward, Benjamin C. 5 2019 Cluster-tilting subcategories in extriangulated categories. Zbl 1408.18029Zhou, Panyue; Zhu, Bin 5 2019 Categorification of pre-Lie algebras and solutions of 2-graded classical Yang-Baxter equations. Zbl 1408.17009Sheng, Yunhe 4 2019 On finitary functors. Zbl 1470.18006Adámek, Jiri; Milius, Stefan; Sousa, Lurdes; Wissmann, Thorsten 4 2019 Products and coequalizers in pointed categories. Zbl 1430.08002Hoefnagel, Michael 4 2019 The dual of compact ordered spaces is a variety. Zbl 1446.18003Abbadini, Marco 4 2019 Characterization of left coextensive varieties of universal algebras. Zbl 1423.18006Broodryk, David Neal 3 2019 The tangent bundle of a model category. Zbl 1426.55008Harpaz, Yonatan; Nuiten, Joost; Prasma, Matan 3 2019 Limits in dagger categories. Zbl 1412.18003Heunen, Chris; Karvonen, Martti 3 2019 Weak units, universal cells, and coherence via universality for bicategories. Zbl 1423.18016Hadzihasanovic, Amar 2 2019 A model structure on prederivators for \((\infty,1)\)-categories. Zbl 1428.18045Fuentes-Keuthan, Daniel; Kędziorek, M.; Rovelli, M. 2 2019 Distributive laws between the Three Graces. Zbl 1448.18029Bremner, Murray; Markl, Martin 2 2019 Monic skeleta, boundaries, Aufhebung, and the meaning of ‘one-dimensionality’. Zbl 1469.18006Menni, Matias 2 2019 Affine geometric spaces in tangent categories. Zbl 1444.18015Blute, R. F.; Cruttwell, G. S. H.; Lucyshyn-Wright, R. B. B. 2 2019 Lifting bicategories into double categories: the globularily generated condition. Zbl 1442.18021Orendain, Juan 1 2019 Distributors and the comprehensive factorization system for internal groupoids. Zbl 1451.18006Metere, Giuseppe 1 2019 The formal theory of multimonoidal monads. Zbl 1410.18007Böhm, Gabriella 1 2019 Homotopy theory with \(\ast\)-categories. Zbl 1423.18011Bunke, Ulrich 1 2019 Biproducts and commutators for Noetherian forms. Zbl 1451.18018Van Niekerk, Francois Koch 1 2019 Weak \(\infty\)-categories via terminal coalgebras. Zbl 1428.18031Cheng, Eugenia; Leinster, Tom 1 2019 A note on internal object action representability of 1-cat groups and crossed modules. Zbl 1423.18029Ramasu, Pako 1 2019 Finitely presentable algebras for finitary monads. Zbl 1468.18006Adámek, Jiri; Milius, Stefan; Sousa, Lurdes; Wissmann, Thorsten 1 2019 A unified framework for notions of algebraic theory. Zbl 1441.18007Fujii, Soichiro 1 2019 A note on the categorical congruence distributivity. Zbl 07064373Bourn, Dominique 1 2019 Colimits of monoids. Zbl 1417.18002Porst, Hans-E. 1 2019 Quotient categories and phases. Zbl 07104228Tull, Sean 1 2019 Strictification tensor product of 2-categories. Zbl 1420.18016Nikolić, Branko 1 2019 A universal characterisation of codescent objects. Zbl 1420.18013Corner, Alexander S. 1 2019 The genuine operadic nerve. Zbl 1426.55012Bonventre, Peter 1 2019 A compositional framework for passive linear networks. Zbl 1402.18005Baez, John C.; Fong, Brendan 18 2018 Props in network theory. Zbl 1400.18004Baez, John C.; Coya, Brandon; Rebro, Franciscus 11 2018 Dualizing cartesian and cocartesian fibrations. Zbl 1423.18025Barwick, Clark; Glasman, Saul; Nardin, Denis 11 2018 Regular patterns, substitudes, Feynman categories and operads. Zbl 1398.18008Batanin, Michael; Kock, Joachim; Weber, Mark 8 2018 Actor of a crossed module of Leibniz algebras. Zbl 1434.17005Casas, José Manuel; Fernández-Casado, Rafael; García-Martínez, Xabier; Khmaladze, Emzar 6 2018 Pseudo-Kan extensions and descent theory. Zbl 1405.18002Lucatelli Nunes, Fernando 6 2018 Decorated corelations. Zbl 1400.18011Fong, Brendan 5 2018 Theory of interleavings on categories with a flow. Zbl 1433.18002De Silva, V.; Munch, E.; Stefanou, A. 5 2018 A parallel section functor for 2-vector bundles. Zbl 1412.18009Schweigert, Christoph; Woike, Lukas 4 2018 A tangent category alternative to the Faà di Bruno construction. Zbl 1402.18003Lemay, Jean-Simon P. 4 2018 Generating the algebraic theory of \(C(X)\): the case of partially ordered compact spaces. Zbl 1419.18003Hofmann, Dirk; Neves, Renato; Nora, Pedro 4 2018 Revisiting the canonicity of canonical triangulations. Zbl 1394.55014Groth, Moritz 4 2018 On fibrant objects in model categories. Zbl 1393.55012Isaev, Valery 3 2018 Contravariance through enrichment. Zbl 1393.18002Shulman, Michael 3 2018 ...and 541 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,903 Authors 36 Gran, Marino 33 Hofmann, Dirk 33 Rosický, Jiří 32 Bourn, Dominique 32 Lack, Stephen 29 van der Linden, Tim 28 Clementino, Maria Manuel 27 Garner, Richard 24 Adámek, Jiří 23 Martins-Ferreira, Nelson 23 Tholen, Walter 22 Cockett, J. Robin B. 21 Janelidze, George 21 Janelidze, Zurab 21 Sheng, Yunhe 20 Vitale, Enrico Maria 19 Schweigert, Christoph 18 Casas Miras, José Manuel 18 Mesablishvili, Bachuki 18 Zhang, Dexue 17 Böhm, Gabriella 17 Kock, Joachim 17 Lai, Hongliang 17 Li, Qingguo 17 Mantovani, Sandra 17 Metere, Giuseppe 17 Montoli, Andrea 16 Baez, John C. 16 Gray, James Richard Andrew 16 Sobociński, Paweł 15 Bezhanishvili, Guram 15 Cegarra, Antonio Martínez 15 Coecke, Bob 15 Milius, Stefan 15 Sämann, Christian 15 Shulman, Michael A. 15 Street, Ross H. 14 Bourke, John 14 Fuchs, Jürgen 14 Heunen, Chris 13 Bonchi, Filippo 13 Everaert, Tomas 13 Jacqmin, Pierre-Alain 13 Power, John 13 Zanasi, Fabio 12 Kong, Liang 12 Rodelo, Diana 12 Runkel, Ingo 12 Schenkel, Alexander 12 Velebil, Jiří 12 Zhao, Bin 11 Benini, Marco 11 Cigoli, Alan S. 11 Fiore, Marcelo P. 11 García-Martínez, Xabier 11 Grandis, Marco 11 Ladra González, Manuel 11 Martins, João Nuno Goncalves Faria 11 Morandi, Patrick J. 11 Shen, Lili 10 Höhle, Ulrich 10 Kock, Anders Jungersen 10 Kurz, Alexander 10 López Franco, Ignacio L. 10 Lucyshyn-Wright, Rory B. B. 10 Menni, Matías 10 Rosolini, Giuseppe 10 Sobral, Manuela 10 Ulualan, Erdal 10 Vickers, Steven 10 Waldorf, Konrad 10 Wisbauer, Robert 9 Caramello, Olivia 9 Fong, Brendan 9 Mucuk, Osman 9 Pacaud Lemay, Jean-Simon 9 Paré, Robert 9 Riehl, Emily 9 Santocanale, Luigi 9 Staton, Sam 9 Stubbe, Isar 9 Szabo, Richard J. 8 Batanin, Michael A. 8 Berger, Clemens 8 Borceux, Francis 8 Chatterjee, Saikat 8 Fritz, Tobias 8 Gambino, Nicola 8 Guo, Lankun 8 Haugseng, Rune 8 Hofstra, Pieter J. W. 8 Liu, Zhangju 8 Maietti, Maria Emilia 8 Sousa, Lurdes 8 Spivak, David I. 8 Temel, Sedat 8 Townsend, Christopher F. 8 Vercruysse, Joost 8 Woike, Lukas 8 Zhou, Panyue ...and 1,803 more Authors all top 5 Cited in 245 Journals 268 Journal of Pure and Applied Algebra 229 Applied Categorical Structures 176 Theory and Applications of Categories 161 Advances in Mathematics 81 Journal of Algebra 72 Topology and its Applications 53 Theoretical Computer Science 50 Communications in Mathematical Physics 46 MSCS. Mathematical Structures in Computer Science 43 Journal of Geometry and Physics 42 Fuzzy Sets and Systems 41 Annals of Pure and Applied Logic 41 Journal of Homotopy and Related Structures 36 Logical Methods in Computer Science 29 Journal of High Energy Physics 28 Algebraic & Geometric Topology 27 Algebra Universalis 24 Transactions of the American Mathematical Society 22 Journal of Algebra and its Applications 21 Communications in Algebra 20 Letters in Mathematical Physics 19 Tbilisi Mathematical Journal 18 Semigroup Forum 18 Cahiers de Topologie et Géométrie Différentielle Catégoriques 18 Higher Structures 16 Journal of Mathematical Physics 14 Information and Computation 14 Algebras and Representation Theory 13 Proceedings of the American Mathematical Society 12 Cahiers de Topologie et Géométrie Différentielle Catégoriques 12 Mathematische Zeitschrift 11 Turkish Journal of Mathematics 11 Communications in Contemporary Mathematics 11 Categories and General Algebraic Structures with Applications 10 Nuclear Physics. B 10 Selecta Mathematica. New Series 10 Journal of Logical and Algebraic Methods in Programming 9 Differential Geometry and its Applications 9 Journal of Noncommutative Geometry 9 Journal of Applied and Computational Topology 8 The Journal of Symbolic Logic 8 Documenta Mathematica 8 Journal of Geometric Mechanics 7 Reviews in Mathematical Physics 7 Order 7 Journal of Knot Theory and its Ramifications 7 Hacettepe Journal of Mathematics and Statistics 7 Forum of Mathematics, Sigma 6 Israel Journal of Mathematics 6 Memoirs of the American Mathematical Society 6 Quaestiones Mathematicae 6 Journal of Mathematical Sciences (New York) 6 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 6 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 6 Logica Universalis 5 Commentationes Mathematicae Universitatis Carolinae 5 Compositio Mathematica 5 Inventiones Mathematicae 5 Mathematische Annalen 5 Studia Logica 5 Mathematical Logic Quarterly (MLQ) 5 Transformation Groups 5 Soft Computing 5 Geometry & Topology 5 The Journal of Logic and Algebraic Programming 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 International Journal of Theoretical Physics 4 Collectanea Mathematica 4 Journal of Philosophical Logic 4 International Journal of Approximate Reasoning 4 Journal of the American Mathematical Society 4 International Journal of Mathematics 4 International Journal of Algebra and Computation 4 Indagationes Mathematicae. New Series 4 Georgian Mathematical Journal 4 Journal of Lie Theory 4 Journal of Functional Programming 4 Abstract and Applied Analysis 4 Central European Journal of Mathematics 4 Quantum Topology 4 Science China. Mathematics 3 Annales de l’Institut Fourier 3 International Journal of Mathematics and Mathematical Sciences 3 Synthese 3 Journal of Automated Reasoning 3 Forum Mathematicum 3 Archive for Mathematical Logic 3 Filomat 3 Journal of the European Mathematical Society (JEMS) 3 Axioms 2 Acta Informatica 2 Discrete Mathematics 2 Indian Journal of Pure & Applied Mathematics 2 Journal of Mathematical Analysis and Applications 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Rocky Mountain Journal of Mathematics 2 Ukrainian Mathematical Journal 2 Fortschritte der Physik 2 Acta Mathematica Vietnamica 2 Annali di Matematica Pura ed Applicata. Serie Quarta ...and 145 more Journals all top 5 Cited in 54 Fields 1,676 Category theory; homological algebra (18-XX) 426 Algebraic topology (55-XX) 325 Mathematical logic and foundations (03-XX) 311 Computer science (68-XX) 241 Associative rings and algebras (16-XX) 239 Order, lattices, ordered algebraic structures (06-XX) 234 Quantum theory (81-XX) 227 Group theory and generalizations (20-XX) 181 General topology (54-XX) 171 Nonassociative rings and algebras (17-XX) 163 General algebraic systems (08-XX) 121 Differential geometry (53-XX) 111 Algebraic geometry (14-XX) 105 Manifolds and cell complexes (57-XX) 96 Functional analysis (46-XX) 85 Topological groups, Lie groups (22-XX) 73 Global analysis, analysis on manifolds (58-XX) 62 \(K\)-theory (19-XX) 50 Commutative algebra (13-XX) 47 Combinatorics (05-XX) 27 Relativity and gravitational theory (83-XX) 16 Geometry (51-XX) 16 Mechanics of particles and systems (70-XX) 16 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 15 Dynamical systems and ergodic theory (37-XX) 14 Number theory (11-XX) 13 Probability theory and stochastic processes (60-XX) 12 Several complex variables and analytic spaces (32-XX) 12 Statistics (62-XX) 12 Information and communication theory, circuits (94-XX) 9 History and biography (01-XX) 9 Measure and integration (28-XX) 9 Convex and discrete geometry (52-XX) 8 Field theory and polynomials (12-XX) 7 General and overarching topics; collections (00-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 7 Partial differential equations (35-XX) 6 Operator theory (47-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Biology and other natural sciences (92-XX) 4 Real functions (26-XX) 4 Special functions (33-XX) 4 Ordinary differential equations (34-XX) 4 Abstract harmonic analysis (43-XX) 3 Optics, electromagnetic theory (78-XX) 3 Operations research, mathematical programming (90-XX) 3 Systems theory; control (93-XX) 2 Functions of a complex variable (30-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Numerical analysis (65-XX) 2 Mathematics education (97-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) 1 Mechanics of deformable solids (74-XX) Citations by Year