Homology, Homotopy and Applications Short Title: Homology Homotopy Appl. Publisher: International Press of Boston, Somerville, MA ISSN: 1532-0073; 1532-0081/e Online: https://www.intlpress.com/site/pub/pages/journals/items/hha/content/_home/index.phphttp://intlpress.com/site/pub/pages/journals/items/hha/content/_home/index.htmlhttp://projecteuclid.org/all/euclid.hhahttp://intlpress.com/HHA/http://www.emis.de/journals/HHA/ Comments: Journal; Indexed cover-to-cover Documents Indexed: 819 Publications (since 1999) all top 5 Latest Issues 25, No. 2 (2023) 25, No. 1 (2023) 24, No. 2 (2022) 24, No. 1 (2022) 23, No. 2 (2021) 23, No. 1 (2020) 22, No. 2 (2020) 22, No. 1 (2020) 21, No. 2 (2019) 21, No. 1 (2019) 20, No. 2 (2018) 20, No. 1 (2018) 19, No. 2 (2017) 19, No. 1 (2017) 18, No. 2 (2016) 18, No. 1 (2016) 17, No. 2 (2015) 17, No. 1 (2015) 16, No. 2 (2014) 16, No. 1 (2014) 15, No. 2 (2013) 15, No. 1 (2013) 14, No. 2 (2012) 14, No. 1 (2012) 13, No. 2 (2011) 13, No. 1 (2011) 12, No. 2 (2010) 12, No. 1 (2010) 11, No. 2 (2009) 11, No. 1 (2009) 10, No. 3 (2008) 10, No. 2 (2008) 10, No. 1 (2008) 9, No. 2 (2007) 9, No. 1 (2007) 8, No. 2 (2006) 8, No. 1 (2006) 7, No. 3, Conf. (2005) 7, No. 2 (2005) 7, No. 1 (2005) 6, No. 1 (2004) 5, No. 2, Spec. Iss. (2003) 5, No. 1 (2003) 4, No. 2(2) (2002) 4, No. 2(1) (2002) 4, No. 1 (2002) 3, No. 3 (2001) 3, No. 2 (2001) 3, No. 1 (2001) 2 (2000) 1 (1999) all top 5 Authors 8 Kishimoto, Daisuke 6 Gran, Marino 5 Benkhalifa, Mahmoud 5 Grandis, Marco 5 Greenlees, John P. C. 5 Kaygun, Atabey 5 Ladra González, Manuel 4 Basu, Samik 4 Bauer, Friedrich-Wilhelm 4 Bergner, Julie 4 Carlsson, Gunnar E. 4 Casas Miras, José Manuel 4 Gaucher, Philippe 4 Goubault, Eric 4 Hess, Kathryn P. 4 Hu, Po 4 Jardine, John Frederick 4 Khmaladze, Emzar 4 Klein, John Robert 4 Lupton, Gregory M. 4 Mannan, Wajid H. 4 Martins, João Nuno Goncalves Faria 4 May, Jon Peter 4 Muranov, Yuriĭ Vladimirovich 4 Nelson, Sam 4 Real, Pedro 4 Rosický, Jiří 4 Schreiber, Urs 4 Theriault, Stephen D. 4 van der Linden, Tim 4 Vitale, Enrico Maria 4 Wilson, W. Stephen 4 Yau, Donald Y. 3 Arvasi, Zekeriya 3 Baez, John C. 3 Baker, Andrew J. 3 Barnes, David 3 Baues, Hans-Joachim 3 Bendersky, Martin 3 Bergh, Petter Andreas 3 Blanc, David Abraham 3 Bondarko, Mikhail Vladimirovich 3 Bourn, Dominique 3 Bräunling, Oliver 3 Brown, Ronald 3 Bubenik, Peter 3 Cohen, Ralph L. 3 Crans, Alissa S. 3 Davis, Donald M. 3 Donadze, Guram 3 Félix, Yves 3 Ghosh, Surojit 3 Gillespie, James 3 Golasiński, Marek 3 Gonzalez, Jesus 3 Herscovich, Estanislao 3 Holstein, Julian V. S. 3 Hovey, Mark A. 3 Iriye, Kouyemon 3 Isaksen, Daniel C. 3 Kȩdziorek, Magdalena 3 Koceić Bilan, Nikola 3 Köck, Bernhard 3 Kříž, Igor 3 Kuribayashi, Katsuhiko 3 Lambe, Larry Albert 3 Leites, Dimitry A. 3 Li, Pengcheng 3 Libman, Assaf 3 Löfwall, Clas 3 Lyubashenko, Volodymyr V. 3 Minian, Elias Gabriel 3 Mrozik, Peter Alexander 3 Osorno, Angélica Maria 3 Pan, Jianzhong 3 Panin, Ivan A. 3 Raptis, George 3 Röndigs, Oliver 3 Saneblidze, Samson 3 Schlank, Tomer M. 3 Shulman, Michael A. 3 Singh, Mahender 3 Spitzweck, Markus 3 Tabuada, Gonçalo 3 Tsutaya, Mitsunobu 3 Umble, Ronald N. 3 Yamaguchi, Toshihiro 3 Yau, Shing-Tung 3 Yokura, Shoji 3 Zhu, ZhongJian 2 Avramov, Luchezar L. 2 Bahri, Anthony P. 2 Bardakov, Valeriĭ Georgievich 2 Barwick, Clark 2 Beardsley, Jonathan 2 Benson, David John 2 Berglund, Alexander 2 Bhattacharya, Prasit 2 Bisson, Terrence Paul 2 Boardman, J. Michael ...and 878 more Authors all top 5 Fields 499 Algebraic topology (55-XX) 329 Category theory; homological algebra (18-XX) 137 Manifolds and cell complexes (57-XX) 97 Associative rings and algebras (16-XX) 90 \(K\)-theory (19-XX) 88 Algebraic geometry (14-XX) 74 Group theory and generalizations (20-XX) 55 Commutative algebra (13-XX) 44 Nonassociative rings and algebras (17-XX) 32 Combinatorics (05-XX) 31 Computer science (68-XX) 19 Global analysis, analysis on manifolds (58-XX) 18 General topology (54-XX) 16 Differential geometry (53-XX) 14 Number theory (11-XX) 12 Convex and discrete geometry (52-XX) 11 Topological groups, Lie groups (22-XX) 11 Functional analysis (46-XX) 10 Several complex variables and analytic spaces (32-XX) 9 Quantum theory (81-XX) 8 General and overarching topics; collections (00-XX) 7 Order, lattices, ordered algebraic structures (06-XX) 6 General algebraic systems (08-XX) 5 Mathematical logic and foundations (03-XX) 5 Mechanics of particles and systems (70-XX) 4 History and biography (01-XX) 4 Probability theory and stochastic processes (60-XX) 4 Statistics (62-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 Field theory and polynomials (12-XX) 2 Geometry (51-XX) 2 Numerical analysis (65-XX) 2 Biology and other natural sciences (92-XX) 2 Information and communication theory, circuits (94-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Sequences, series, summability (40-XX) 1 Operator theory (47-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 600 Publications have been cited 3,816 times in 2,988 Documents Cited by ▼ Year ▼ Introduction to \(A\)-infinity algebras and modules. Zbl 0989.18009Keller, Bernhard 141 2001 Resolutions by mapping cones. Zbl 1028.13008Herzog, Jürgen; Takayama, Yukihide 90 2002 On left and right model categories and left and right Bousfield localizations. Zbl 1243.18025Barwick, Clark 70 2010 Model structures on modules over Ding-Chen rings. Zbl 1231.16005Gillespie, James 68 2010 Limit theorems for Betti numbers of random simplicial complexes. Zbl 1268.05180Kahle, Matthew; Meckes, Elizabeth 49 2013 Product structures on four dimensional solvable Lie algebras. Zbl 1165.17303Andrada, A.; Barberis, M. L.; Dotti, I. G.; Ovando, G. P. 46 2005 From loop groups to 2-groups. Zbl 1122.22003Baez, John C.; Stevenson, Danny; Crans, Alissa S.; Schreiber, Urs 46 2007 Groupoids and crossed objects in algebraic topology. Zbl 0920.55002Brown, Ronald 44 1999 Notes on 2-groupoids, 2-groups and crossed modules. Zbl 1221.18002Noohi, Behrang 40 2007 Cotorsion pairs and degreewise homological model structures. Zbl 1140.18011Gillespie, James 38 2008 Local and stable homological algebra in Grothendieck abelian categories. Zbl 1175.18007Cisinski, Denis-Charles; Déglise, Frédéric 35 2009 Operations on polyhedral products and a new topological construction of infinite families of toric manifolds. Zbl 1342.13029Bahri, A.; Bendersky, M.; Cohen, F. R.; Gitler, S. 33 2015 Trees, free right-symmetric algebras, free Novikov algebras and identities. Zbl 1029.17001Dzhumadil’daev, Askar; Löfwall, Clas 32 2002 Smooth functors vs. differential forms. Zbl 1230.53025Schreiber, Urs; Waldorf, Konrad 30 2011 Dwyer-Kan localization revisited. Zbl 1346.18024Hinich, Vladimir 30 2016 \(A_\infty\)-subalgebras and natural transformations. Zbl 1215.53079Seidel, Paul 29 2008 Oriented cohomology theories of algebraic varieties. II. Zbl 1169.14016Panin, Ivan 28 2009 Support varieties: an ideal approach. Zbl 1118.18005Buan, Aslak Bakke; Krause, Henning; Solberg, Øyvind 28 2007 Diagonals on the permutahedra, multiplihedra and associahedra. Zbl 1069.55015Saneblidze, Samson; Umble, Ronald 27 2004 On the Freyd categories of an additive category. Zbl 1066.18008Beligiannis, Apostolos 26 2000 A statistical approach to persistent homology. Zbl 1136.55004Bubenik, Peter; Kim, Peter T. 25 2007 The congruence criterion for power operations in Morava \(E\)-theory. Zbl 1193.55010Rezk, Charles 24 2009 Some geometric perspectives in concurrency theory. Zbl 1034.68059Goubault, Eric 23 2003 Omega-categories and chain complexes. Zbl 1071.18005Steiner, Richard 23 2004 Divided power (co)homology. Presentations of simple finite dimensional modular Lie superalgebras with Cartan matrix. Zbl 1200.17009Bouarroudj, Sofiane; Grozman, Pavel; Lebedev, Alexei; Leites, Dimitry 22 2010 Matrices and finite quandles. Zbl 1102.57008Ho, Benita; Nelson, Sam 22 2005 Categorical homotopy theory. Zbl 1087.18009Jardine, J. F. 22 2006 Category of \(A_\infty\)-categories. Zbl 1026.18003Lyubashenko, Volodymyr 22 2003 Operations and co-operations in Morava \(E\)-theory. Zbl 1063.55003Hovey, Mark 22 2004 Braid cobordisms, triangulated categories, and flag varieties. Zbl 1119.18008Khovanov, Mikhail; Thomas, Richard 22 2007 Categorified symplectic geometry and the string Lie 2-algebra. Zbl 1277.70031Baez, John C.; Rogers, Christopher L. 21 2010 The ring of algebraic functions on persistence bar codes. Zbl 1420.55017Adcock, Aaron; Carlsson, Erik; Carlsson, Gunnar 21 2016 Homological perturbation theory and associativity. Zbl 0949.18005Real, Pedro 21 2000 \(L_{\infty}\)-algebras of local observables from higher prequantum bundles. Zbl 1401.53079Fiorenza, Domenico; Rogers, Christopher L.; Schreiber, Urs 20 2014 Monoids and pointed \(S\)-protomodular categories. Zbl 1350.18019Bourn, Dominique; Martins-Ferreira, Nelson; Montoli, Andrea; Sobral, Manuela 20 2016 Relations between slices and quotients of the algebraic cobordism spectrum. Zbl 1209.14019Spitzweck, Markus 19 2010 Rational homotopy theory of mapping spaces via Lie theory for \(L_\infty\)-algebras. Zbl 1347.55010Berglund, Alexander 19 2015 A universality theorem for Voevodsky’s algebraic cobordism spectrum. Zbl 1162.14013Panin, Ivan; Pimenov, Konstantin; Röndigs, Oliver 19 2008 Homology and robustness of level and interlevel sets. Zbl 1266.55004Bendich, Paul; Edelsbrunner, Herbert; Morozov, Dmitriy; Patel, Amit 18 2013 Spectral enrichments of model categories. Zbl 1084.55011Dugger, Daniel 18 2006 A model category for the homotopy theory of concurrency. Zbl 1069.55008Gaucher, Philippe 18 2003 Formality of Koszul brackets and deformations of holomorphic Poisson manifolds. Zbl 1267.18014Fiorenza, Domenico; Manetti, Marco 18 2012 Manifold calculus and homotopy sheaves. Zbl 1291.18025Boavida de Brito, Pedro; Weiss, Michael 18 2013 Distance functions, critical points, and the topology of random Čech complexes. Zbl 1323.60026Bobrowski, Omer; Adler, Robert J. 17 2014 The univalence axiom for elegant Reedy presheaves. Zbl 1352.55010Shulman, Michael 17 2015 What does the classifying space of a category classify? Zbl 1093.57012Weiss, Michael 17 2005 Semicoverings: a generalization of covering space theory. Zbl 1244.57010Brazas, Jeremy 17 2012 Using torsion theory to compute the algebraic structure of Hochschild (co)homology. Zbl 1418.16006Herscovich, Estanislao 16 2018 An alternate approach to the Lie bracket on Hochschild cohomology. Zbl 1353.16008Negron, Cris; Witherspoon, Sarah 16 2016 Rouquier complexes are functorial over braid cobordisms. Zbl 1210.57014Elias, Ben; Krasner, Dan 15 2010 On equivariant homotopy theory for model categories. Zbl 1357.18005Stephan, Marc 15 2016 The geometry of configuration spaces for closed chains in two and three dimensions. Zbl 1065.55010Milgram, R. James; Trinkle, J. C. 15 2004 Matrices and finite biquandles. Zbl 1111.57009Nelson, Sam; Vo, John 15 2006 Cofibrant objects among higher-dimensional categories. Zbl 1143.18007Métayer, François 15 2008 Noncommutative deformations of modules. Zbl 1013.16018Laudal, O. A. 15 2002 Thick subcategories of the derived category of a hereditary algebra. Zbl 1142.18008Brüning, Kristian 15 2007 The observable structure of persistence modules. Zbl 1377.55015Chazal, Frédéric; Crawley-Boevey, William; De Silva, Vin 14 2016 Chromatic subdivision of a simplicial complex. Zbl 1259.68146Kozlov, Dmitry N. 14 2012 On constructing weight structures and extending them to idempotent completions. Zbl 1394.14006Bondarko, Mikhail V.; Sosnilo, Vladimir A. 14 2018 Homotopy theory of symmetric powers. Zbl 1390.18023Pavlov, Dmitri; Scholbach, Jakob 14 2018 Brave new Hopf algebroids and extensions of \(MU\)-algebras. Zbl 1380.55009Baker, Andrew; Jeanneret, Alain 14 2002 Additivity of Euler characteristics in relative algebraic \(K\)-groups. Zbl 1085.18011Breuning, Manuel; Burns, David 14 2005 The cohomology ring of free loop spaces. Zbl 0974.55005Menichi, Luc 14 2001 Topological deformation of higher dimensional automata. Zbl 1030.68058Gaucher, Philippe; Goubault, Eric 14 2003 Multiplicative properties of Atiyah duality. Zbl 1072.55004Cohen, Ralph L. 14 2004 L-infinity maps and twistings. Zbl 1254.18008Chuang, Joseph; Lazarev, Andrey 14 2011 The cubical category with connections is a strict test category. (La catégorie cubique avec connexions est une catégorie test stricte.) Zbl 1213.18009Maltsiniotis, Georges 14 2009 The homology of \(\mathrm{tmf}\). Zbl 1357.55002Mathew, Akhil 13 2016 A categorical guide to separation, compactness and perfectness. Zbl 0924.18003Tholen, Walter 13 1999 Homotopy Rinehart cohomology of homotopy Lie-Rinehart pairs. Zbl 1005.17016Kjeseth, Lars 13 2001 Computing homology. Zbl 1028.55001Kaczynski, Tomasz; Mischaikow, Konstantin; Mrozek, Marian 13 2003 On the existence of a \(v_2^{32}\)-self map on \(M(1,4)\) at the prime 2. Zbl 1162.55010Behrens, M.; Hill, M.; Hopkins, M. J.; Mahowald, M. 13 2008 A construction of quotient \(A_\infty\)-categories. Zbl 1134.18002Lyubashenko, Volodymyr; Ovsienko, Sergiy 13 2006 Homotopy theory of posets. Zbl 1215.18017Raptis, George 12 2010 The equivariant slice filtration: a primer. Zbl 1403.55003Hill, Michael A. 12 2012 Homological algebra for diffeological vector spaces. Zbl 1318.18007Wu, Enxin 12 2015 Categorifying the magnitude of a graph. Zbl 1377.05088Hepworth, Richard; Willerton, Simon 12 2017 Extensions of racks and quandles. Zbl 1077.18010Jackson, Nicholas 12 2005 Semidirect products of categorical groups. Obstruction theory. Zbl 0984.18005Garzón, Antonio; Inassaridze, Hvedri 12 2001 The 3-by-3 lemma for regular Goursat categories. Zbl 1070.18007Lack, Stephen 12 2004 The Bousfield lattice for truncated polynomial algebras. Zbl 1161.18005Dwyer, W. G.; Palmieri, J. H. 12 2008 The second real Johnson-Wilson theory and nonimmersions of \(RP^n\). Zbl 1160.55002Kitchloo, Nitu; Wilson, W. Stephen 12 2008 Umkehr maps. Zbl 1160.55005Cohen, Ralph L.; Klein, John R. 12 2009 Homotopy nilpotency in localized \(\text{SU}(n)\). Zbl 1181.55011Kishimoto, Daisuke 12 2009 The cellularization principle for Quillen adjunctions. Zbl 1284.55021Greenlees, J. P. C.; Shipley, B. 12 2013 On the chain-level intersection pairing for PL pseudomanifolds. Zbl 1213.55004Friedman, Greg 12 2009 The Euler characteristic of a category as the sum of a divergent series. Zbl 1132.18007Berger, Clemens; Leinster, Tom 12 2008 Mayer-Vietoris sequences in stable derivators. Zbl 1305.55011Groth, Moritz; Ponto, Kate; Shulman, Michael 11 2014 Graphs associated with simplicial complexes. Zbl 1297.05269Grigor’yan, A.; Muranov, Yu. V.; Yau, Shing-Tung 11 2014 Coalgebraic models for combinatorial model categories. Zbl 1311.18006Ching, Michael; Riehl, Emily 11 2014 The rational homotopy type of the space of self-equivalences of a fibration. Zbl 1214.55011Félix, Yves; Lupton, Gregory; Smith, Samuel B. 11 2010 \(K\)-motives of algebraic varieties. Zbl 1284.14029Garkusha, Grigory; Panin, Ivan 11 2012 Simplification of complexes for persistent homology computations. Zbl 1295.55002Dłotko, Paweł; Wagner, Hubert 11 2014 Kirchhoff’s theorems in higher dimensions and Reidemeister torsion. Zbl 1348.55013Catanzaro, Michael J.; Chernyak, Vladimir Y.; Klein, John R. 11 2015 On the cobar construction of a bialgebra. Zbl 1081.55009Kadeishvili, T. 11 2005 \(K\)-theory of affine toric varieties. Zbl 0920.19001Gubeladze, Joseph 11 1999 Galois theory and double central extensions. Zbl 1064.08004Gran, Marino; Rossi, Valentina 11 2004 On the path homology theory of digraphs and Eilenberg-Steenrod axioms. Zbl 1391.05125Grigor’yan, Alexander; Jimenez, Rolando; Muranov, Yuri; Yau, Shing-Tung 11 2018 Flat cyclic Fréchet modules, amenable Fréchet algebras, and approximate identities. Zbl 1180.46039Pirkovskii, A. Yu. 11 2009 A refinement of multi-dimensional persistence. Zbl 1140.55005Knudson, Kevin P. 11 2008 Koszul duality in higher topoi. Zbl 1511.18001Beardsley, Jonathan; Péroux, Maximilien 1 2023 Stable equivariant complex cobordism of the symmetric group on three elements. Zbl 1521.55007Hu, Po; Kriz, Igor; Lu, Yunze 1 2023 Derived universal Massey products. Zbl 07681901Muro, Fernando 1 2023 Magnitude homology of graphs and discrete Morse theory on Asao-Izumihara complexes. Zbl 1516.55007Tajima, Yu; Yoshinaga, Masahiko 1 2023 Homotopy type of the space of finite propagation unitary operators on \(\mathbb{Z}\). 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Zbl 1516.55011Berglund, Alexander; Saleh, Bashar 2 2020 Crossed modules and symmetric cohomology of groups. Zbl 1440.20017Pirashvili, Mariam 2 2020 Compatible actions in semi-abelian categories. Zbl 1440.18014di Micco, Davide; Van der Linden, Tim 2 2020 A simplicial construction for noncommutative settings. Zbl 1465.16007Carolus, Samuel; Laubacher, Jacob; Staic, Mihai D. 2 2020 Vector bundles and cohomotopies of spin 5-manifolds. Zbl 1508.57036Konstantis, Panagiotis 2 2020 Flatness and Shipley’s algebraicization theorem. Zbl 1460.55009Williamson, Jordan 2 2020 The Euler characteristic of the regular spherical polygon spaces. Zbl 1436.55024Kamiyama, Yasuhiko 1 2020 A higher Whitehead theorem and the embedding of quasicategories in prederivators. Zbl 1432.18018Arlin, Kevin 1 2020 \(K_1\)-groups via binary complexes of fixed length. Zbl 1455.19003Kasprowski, Daniel; Köck, Bernhard; Winges, Christoph 1 2020 On trivialities of Euler classes of oriented vector bundles over manifolds. Zbl 1456.57025Naolekar, Aniruddha C.; Subhash, B.; Thakur, Ajay Singh 1 2020 Medians of populations of persistence diagrams. Zbl 1507.55010Turner, Katharine 1 2020 A lax monoidal model for multilinearization. Zbl 1439.55012Yeakel, Sarah 1 2020 Time-reversal homotopical properties of concurrent systems. Zbl 1440.18009Calk, Cameron; Goubault, Eric; Malbos, Philippe 1 2020 On a conjecture of Mahowald on the cohomology of finite sub-Hopf algebras of the Steenrod algebra. Zbl 1442.55015Shick, Paul 1 2020 A note on a Holstein construction. Zbl 1470.18027Arkhipov, Sergey; Poliakova, Daria 1 2020 The non-nil-invariance of periodic topological cyclic homology. Zbl 1440.55008Horiuchi, Ryo 1 2020 Koszul duality and the Hochschild cohomology of Artin-Schelter regular algebras. Zbl 1440.14009Liu, Leilei 1 2020 A simple proof of Curtis’ connectivity theorem for Lie powers. Zbl 1439.55015Ivanov, Sergei O.; Romanovskii, Vladislav; Semenov, Andrei 1 2020 So, what is a derived functor? 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C. 14 Kishimoto, Daisuke 14 Lazarev, Andrey 14 Østvær, Paul Arne 13 Barthel, Tobias 13 Félix, Yves 13 Martins-Ferreira, Nelson 13 Sati, Hisham 13 Sheng, Yunhe 12 Garkusha, Grigory 12 Herzog, Jürgen 12 Martins, João Nuno Goncalves Faria 12 Mathew, Akhil 12 Muranov, Yuriĭ Vladimirovich 11 Ara, Dimitri 11 Hess, Kathryn P. 11 Hill, Michael A. 11 Khmaladze, Emzar 11 Levine, Marc Noel 11 Owada, Takashi 11 Sämann, Christian 10 Blanc, David Abraham 10 Bobrowski, Omer 10 Bouarroudj, Sofiane 10 Bubenik, Peter 10 Gutiérrez, Javier J. 10 Herscovich, Estanislao 10 Ladra González, Manuel 10 Lawson, Tyler Douglas 10 Lipshitz, Robert 10 Meier, Lennart 10 Roitzheim, Constanze Susanne Ruth 10 Rovelli, Martina 10 Tabuada, Gonçalo 9 Benkhalifa, Mahmoud 9 Casas Miras, José Manuel 9 Gaucher, Philippe 9 Goubault, Eric 9 Hackney, Philip 9 Haugseng, Rune 9 Panin, Ivan A. 9 Real, Pedro 9 Rosický, Jiří 9 Shulman, Michael A. 9 Solotar, Andrea Leonor 9 Stapleton, Nathaniel 9 Šťovíček, Jan 9 Thomas, Jean-Claude 9 Yamaguchi, Toshihiro 9 Yang, Gang 9 Zhu, Chenchang 8 Balmer, Paul 8 Cegarra, Antonio Martínez 8 Farber, Michael S. 8 Kahl, Thomas 8 Krause, Henning 8 Montoli, Andrea 8 Pérez, Marco A. 8 Prvulović, Branislav I. 8 Rodelo, Diana 8 Seidel, Paul 8 Shipley, Brooke E. 8 Spitzweck, Markus 8 van der Linden, Tim 8 Wang, Zhanping 8 Wickelgren, Kirsten G. 8 Witherspoon, Sarah J. 7 Abouzaid, Mohammed 7 Bachmann, Tom 7 Baker, Andrew J. 7 Bergh, Petter Andreas 7 Berglund, Alexander 7 Bergner, Julie 7 Blumberg, Andrew J. 7 Bräunling, Oliver 7 Choi, Suyoung 7 Dell’Ambrogio, Ivo 7 Edelsbrunner, Herbert 7 Forcey, Stefan 7 Friedman, Greg 7 García-Martínez, Xabier 7 Grigor’yan, Alexander Asaturovich 7 Iacob, Alina C. 7 Iyengar, Srikanth B. 7 Khovanov, Mikhail G. 7 Klein, John Robert 7 Kupers, Alexander 7 Malkiewich, Cary 7 Medina-Mardones, Anibal M. 7 Nikolaus, Thomas 7 Ozornova, Viktoriya 7 Park, Hanchul 7 Petrović, Zoran Z. ...and 2,716 more Authors all top 5 Cited in 347 Journals 191 Advances in Mathematics 190 Journal of Pure and Applied Algebra 141 Journal of Algebra 141 Algebraic & Geometric Topology 99 Topology and its Applications 71 Applied Categorical Structures 69 Journal of Homotopy and Related Structures 62 Transactions of the American Mathematical Society 56 Communications in Algebra 55 Proceedings of the American Mathematical Society 52 Geometry & Topology 49 Mathematische Zeitschrift 46 Theory and Applications of Categories 41 Journal of Algebra and its Applications 33 Journal of Applied and Computational Topology 32 Compositio Mathematica 30 Selecta Mathematica. 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Third Series 8 Rocky Mountain Journal of Mathematics 8 Archiv der Mathematik 8 International Journal of Mathematics and Mathematical Sciences 8 Journal of Combinatorial Theory. Series A 8 Turkish Journal of Mathematics 8 Georgian Mathematical Journal 8 Journal of the European Mathematical Society (JEMS) 8 Hacettepe Journal of Mathematics and Statistics 8 Journal of Topology and Analysis 7 Reviews in Mathematical Physics 7 Journal für die Reine und Angewandte Mathematik 7 Proceedings of the London Mathematical Society. Third Series 7 Semigroup Forum 7 Bulletin of the Korean Mathematical Society 7 Expositiones Mathematicae 7 Applicable Algebra in Engineering, Communication and Computing 7 Journal of Lie Theory 7 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 7 Oberwolfach Reports 6 Collectanea Mathematica 6 Publications Mathématiques 6 Journal of the Korean Mathematical Society 6 Journal of the Mathematical Society of Japan 6 Advances in Applied Mathematics 6 Stochastic Processes and their Applications 6 Bulletin of the American Mathematical Society. New Series 6 Transformation Groups 6 Acta Mathematica Sinica. English Series 6 Categories and General Algebraic Structures with Applications 6 SIAM Journal on Applied Algebra and Geometry 6 Tunisian Journal of Mathematics 5 Fortschritte der Physik ...and 247 more Journals all top 5 Cited in 53 Fields 1,256 Algebraic topology (55-XX) 1,090 Category theory; homological algebra (18-XX) 501 Algebraic geometry (14-XX) 483 Associative rings and algebras (16-XX) 439 Manifolds and cell complexes (57-XX) 275 Commutative algebra (13-XX) 265 Group theory and generalizations (20-XX) 241 Nonassociative rings and algebras (17-XX) 240 \(K\)-theory (19-XX) 230 Differential geometry (53-XX) 192 Combinatorics (05-XX) 140 Computer science (68-XX) 109 Quantum theory (81-XX) 106 Global analysis, analysis on manifolds (58-XX) 79 Number theory (11-XX) 62 Topological groups, Lie groups (22-XX) 59 Probability theory and stochastic processes (60-XX) 55 Functional analysis (46-XX) 54 Convex and discrete geometry (52-XX) 50 General topology (54-XX) 49 Several complex variables and analytic spaces (32-XX) 48 Statistics (62-XX) 41 Order, lattices, ordered algebraic structures (06-XX) 37 Mathematical logic and foundations (03-XX) 31 General algebraic systems (08-XX) 31 Dynamical systems and ergodic theory (37-XX) 30 Mechanics of particles and systems (70-XX) 18 Relativity and gravitational theory (83-XX) 16 Linear and multilinear algebra; matrix theory (15-XX) 16 Geometry (51-XX) 16 Biology and other natural sciences (92-XX) 13 Partial differential equations (35-XX) 12 History and biography (01-XX) 12 Numerical analysis (65-XX) 11 Information and communication theory, circuits (94-XX) 10 General and overarching topics; collections (00-XX) 9 Operator theory (47-XX) 7 Measure and integration (28-XX) 7 Statistical mechanics, structure of matter (82-XX) 6 Field theory and polynomials (12-XX) 5 Ordinary differential equations (34-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Real functions (26-XX) 4 Difference and functional equations (39-XX) 3 Abstract harmonic analysis (43-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) 1 Special functions (33-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Optics, electromagnetic theory (78-XX) Citations by Year