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: 840 Publications (since 1999) all top 5 Latest Issues 26, No. 1 (2024) 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. 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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 Schlank, Tomer M. 3 Shulman, Michael A. 3 Singh, Mahender 3 Spitzweck, Markus 3 Tabuada, Gonçalo 3 Tsutaya, Mitsunobu 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 898 more Authors all top 5 Fields 514 Algebraic topology (55-XX) 336 Category theory; homological algebra (18-XX) 139 Manifolds and cell complexes (57-XX) 100 Associative rings and algebras (16-XX) 91 \(K\)-theory (19-XX) 89 Algebraic geometry (14-XX) 76 Group theory and generalizations (20-XX) 55 Commutative algebra (13-XX) 46 Nonassociative rings and algebras (17-XX) 35 Combinatorics (05-XX) 31 Computer science (68-XX) 19 Global analysis, analysis on manifolds (58-XX) 18 General topology (54-XX) 17 Differential geometry (53-XX) 14 Number theory (11-XX) 13 Convex and discrete geometry (52-XX) 12 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 637 Publications have been cited 4,431 times in 3,455 Documents Cited by ▼ Year ▼ Introduction to \(A\)-infinity algebras and modules. Zbl 0989.18009 Keller, Bernhard 158 2001 Resolutions by mapping cones. Zbl 1028.13008 Herzog, Jürgen; Takayama, Yukihide 103 2002 On left and right model categories and left and right Bousfield localizations. Zbl 1243.18025 Barwick, Clark 84 2010 Model structures on modules over Ding-Chen rings. Zbl 1231.16005 Gillespie, James 80 2010 Limit theorems for Betti numbers of random simplicial complexes. Zbl 1268.05180 Kahle, Matthew; Meckes, Elizabeth 57 2013 Product structures on four dimensional solvable Lie algebras. Zbl 1165.17303 Andrada, A.; Barberis, M. L.; Dotti, I. G.; Ovando, G. P. 50 2005 From loop groups to 2-groups. Zbl 1122.22003 Baez, John C.; Stevenson, Danny; Crans, Alissa S.; Schreiber, Urs 50 2007 Groupoids and crossed objects in algebraic topology. Zbl 0920.55002 Brown, Ronald 47 1999 Trees, free right-symmetric algebras, free Novikov algebras and identities. Zbl 1029.17001 Dzhumadil’daev, Askar; Löfwall, Clas 46 2002 Dwyer-Kan localization revisited. Zbl 1346.18024 Hinich, Vladimir 43 2016 Cotorsion pairs and degreewise homological model structures. Zbl 1140.18011 Gillespie, James 41 2008 Notes on 2-groupoids, 2-groups and crossed modules. Zbl 1221.18002 Noohi, Behrang 40 2007 Local and stable homological algebra in Grothendieck abelian categories. Zbl 1175.18007 Cisinski, Denis-Charles; Déglise, Frédéric 39 2009 Operations on polyhedral products and a new topological construction of infinite families of toric manifolds. Zbl 1342.13029 Bahri, A.; Bendersky, M.; Cohen, F. R.; Gitler, S. 37 2015 Support varieties: an ideal approach. Zbl 1118.18005 Buan, Aslak Bakke; Krause, Henning; Solberg, Øyvind 36 2007 \(A_\infty\)-subalgebras and natural transformations. Zbl 1215.53079 Seidel, Paul 35 2008 Smooth functors vs. differential forms. Zbl 1230.53025 Schreiber, Urs; Waldorf, Konrad 33 2011 Diagonals on the permutahedra, multiplihedra and associahedra. Zbl 1069.55015 Saneblidze, Samson; Umble, Ronald 31 2004 Oriented cohomology theories of algebraic varieties. II. Zbl 1169.14016 Panin, Ivan 30 2009 On the Freyd categories of an additive category. Zbl 1066.18008 Beligiannis, Apostolos 30 2000 Omega-categories and chain complexes. Zbl 1071.18005 Steiner, Richard 29 2004 A statistical approach to persistent homology. Zbl 1136.55004 Bubenik, Peter; Kim, Peter T. 27 2007 Some geometric perspectives in concurrency theory. Zbl 1034.68059 Goubault, Eric 26 2003 The congruence criterion for power operations in Morava \(E\)-theory. Zbl 1193.55010 Rezk, Charles 26 2009 Rational homotopy theory of mapping spaces via Lie theory for \(L_\infty\)-algebras. Zbl 1347.55010 Berglund, Alexander 26 2015 The homology of \(\mathrm{tmf}\). Zbl 1357.55002 Mathew, Akhil 26 2016 Matrices and finite quandles. Zbl 1102.57008 Ho, Benita; Nelson, Sam 25 2005 Categorical homotopy theory. Zbl 1087.18009 Jardine, J. F. 24 2006 Category of \(A_\infty\)-categories. Zbl 1026.18003 Lyubashenko, Volodymyr 24 2003 Operations and co-operations in Morava \(E\)-theory. Zbl 1063.55003 Hovey, Mark 24 2004 Braid cobordisms, triangulated categories, and flag varieties. Zbl 1119.18008 Khovanov, Mikhail; Thomas, Richard 24 2007 A universality theorem for Voevodsky’s algebraic cobordism spectrum. Zbl 1162.14013 Panin, Ivan; Pimenov, Konstantin; Röndigs, Oliver 22 2008 Divided power (co)homology. Presentations of simple finite dimensional modular Lie superalgebras with Cartan matrix. Zbl 1200.17009 Bouarroudj, Sofiane; Grozman, Pavel; Lebedev, Alexei; Leites, Dimitry 22 2010 The univalence axiom for elegant Reedy presheaves. Zbl 1352.55010 Shulman, Michael 22 2015 The ring of algebraic functions on persistence bar codes. Zbl 1420.55017 Adcock, Aaron; Carlsson, Erik; Carlsson, Gunnar 22 2016 Distance functions, critical points, and the topology of random Čech complexes. Zbl 1323.60026 Bobrowski, Omer; Adler, Robert J. 22 2014 The observable structure of persistence modules. Zbl 1377.55015 Chazal, Frédéric; Crawley-Boevey, William; De Silva, Vin 22 2016 \(L_{\infty}\)-algebras of local observables from higher prequantum bundles. Zbl 1401.53079 Fiorenza, Domenico; Rogers, Christopher L.; Schreiber, Urs 22 2014 Homological perturbation theory and associativity. Zbl 0949.18005 Real, Pedro 21 2000 A model category for the homotopy theory of concurrency. Zbl 1069.55008 Gaucher, Philippe 21 2003 Homology and robustness of level and interlevel sets. Zbl 1266.55004 Bendich, Paul; Edelsbrunner, Herbert; Morozov, Dmitriy; Patel, Amit 21 2013 Categorified symplectic geometry and the string Lie 2-algebra. Zbl 1277.70031 Baez, John C.; Rogers, Christopher L. 21 2010 Manifold calculus and homotopy sheaves. Zbl 1291.18025 Boavida de Brito, Pedro; Weiss, Michael 21 2013 Relations between slices and quotients of the algebraic cobordism spectrum. Zbl 1209.14019 Spitzweck, Markus 21 2010 Monoids and pointed \(S\)-protomodular categories. Zbl 1350.18019 Bourn, Dominique; Martins-Ferreira, Nelson; Montoli, Andrea; Sobral, Manuela 21 2016 An alternate approach to the Lie bracket on Hochschild cohomology. Zbl 1353.16008 Negron, Cris; Witherspoon, Sarah 21 2016 Formality of Koszul brackets and deformations of holomorphic Poisson manifolds. Zbl 1267.18014 Fiorenza, Domenico; Manetti, Marco 20 2012 Cofibrant objects among higher-dimensional categories. Zbl 1143.18007 Métayer, François 20 2008 Noncommutative deformations of modules. Zbl 1013.16018 Laudal, O. A. 19 2002 What does the classifying space of a category classify? Zbl 1093.57012 Weiss, Michael 19 2005 On equivariant homotopy theory for model categories. Zbl 1357.18005 Stephan, Marc 19 2016 Spectral enrichments of model categories. Zbl 1084.55011 Dugger, Daniel 18 2006 Thick subcategories of the derived category of a hereditary algebra. Zbl 1142.18008 Brüning, Kristian 18 2007 The cubical category with connections is a strict test category. (La catégorie cubique avec connexions est une catégorie test stricte.) Zbl 1213.18009 Maltsiniotis, Georges 18 2009 Semicoverings: a generalization of covering space theory. Zbl 1244.57010 Brazas, Jeremy 18 2012 Rouquier complexes are functorial over braid cobordisms. Zbl 1210.57014 Elias, Ben; Krasner, Dan 18 2010 Using torsion theory to compute the algebraic structure of Hochschild (co)homology. Zbl 1418.16006 Herscovich, Estanislao 16 2018 Homotopy theory of symmetric powers. Zbl 1390.18023 Pavlov, Dmitri; Scholbach, Jakob 16 2018 A construction of quotient \(A_\infty\)-categories. Zbl 1134.18002 Lyubashenko, Volodymyr; Ovsienko, Sergiy 16 2006 Chromatic subdivision of a simplicial complex. Zbl 1259.68146 Kozlov, Dmitry N. 16 2012 On the path homology theory of digraphs and Eilenberg-Steenrod axioms. Zbl 1391.05125 Grigor’yan, Alexander; Jimenez, Rolando; Muranov, Yuri; Yau, Shing-Tung 16 2018 Additivity of Euler characteristics in relative algebraic \(K\)-groups. Zbl 1085.18011 Breuning, Manuel; Burns, David 15 2005 The geometry of configuration spaces for closed chains in two and three dimensions. Zbl 1065.55010 Milgram, R. James; Trinkle, J. C. 15 2004 Multiplicative properties of Atiyah duality. Zbl 1072.55004 Cohen, Ralph L. 15 2004 On the existence of a \(v_2^{32}\)-self map on \(M(1,4)\) at the prime 2. Zbl 1162.55010 Behrens, M.; Hill, M.; Hopkins, M. J.; Mahowald, M. 15 2008 On constructing weight structures and extending them to idempotent completions. Zbl 1394.14006 Bondarko, Mikhail V.; Sosnilo, Vladimir A. 15 2018 Matrices and finite biquandles. Zbl 1111.57009 Nelson, Sam; Vo, John 15 2006 Homotopy theory of posets. Zbl 1215.18017 Raptis, George 15 2010 Coalgebraic models for combinatorial model categories. Zbl 1311.18006 Ching, Michael; Riehl, Emily 15 2014 Categorifying the magnitude of a graph. Zbl 1377.05088 Hepworth, Richard; Willerton, Simon 15 2017 Graphs associated with simplicial complexes. Zbl 1297.05269 Grigor’yan, A.; Muranov, Yu. V.; Yau, Shing-Tung 15 2014 Topological deformation of higher dimensional automata. Zbl 1030.68058 Gaucher, Philippe; Goubault, Eric 14 2003 Computing homology. Zbl 1028.55001 Kaczynski, Tomasz; Mischaikow, Konstantin; Mrozek, Marian 14 2003 Flat cyclic Fréchet modules, amenable Fréchet algebras, and approximate identities. Zbl 1180.46039 Pirkovskii, A. Yu. 14 2009 The cohomology ring of free loop spaces. Zbl 0974.55005 Menichi, Luc 14 2001 Topological complexity of a map. Zbl 1426.55004 Pavešić, Petar 14 2019 L-infinity maps and twistings. Zbl 1254.18008 Chuang, Joseph; Lazarev, Andrey 14 2011 Homological algebra for diffeological vector spaces. Zbl 1318.18007 Wu, Enxin 14 2015 Simplification of complexes for persistent homology computations. Zbl 1295.55002 Dłotko, Paweł; Wagner, Hubert 14 2014 Brave new Hopf algebroids and extensions of \(MU\)-algebras. Zbl 1380.55009 Baker, Andrew; Jeanneret, Alain 14 2002 An algebraic representation of globular sets. Zbl 1440.55014 Medina-Mardones, Anibal M. 14 2020 A categorical guide to separation, compactness and perfectness. Zbl 0924.18003 Tholen, Walter 13 1999 Extensions of racks and quandles. Zbl 1077.18010 Jackson, Nicholas 13 2005 Gröbner bases of oriented Grassmann manifolds. Zbl 1156.57029 Fukaya, Tomohiro 13 2008 Power operations in orbifold Tate \(K\)-theory. Zbl 1277.19003 Ganter, Nora 13 2013 Umkehr maps. Zbl 1160.55005 Cohen, Ralph L.; Klein, John R. 13 2009 The cellularization principle for Quillen adjunctions. Zbl 1284.55021 Greenlees, J. P. C.; Shipley, B. 13 2013 Semidirect products of categorical groups. Obstruction theory. Zbl 0984.18005 Garzón, Antonio; Inassaridze, Hvedri 13 2001 Homotopy Rinehart cohomology of homotopy Lie-Rinehart pairs. Zbl 1005.17016 Kjeseth, Lars 13 2001 Linear motion planning with controlled collisions and pure planar braids. Zbl 1455.55001 González, Jesús; León-Medina, José Luis; Roque-Márquez, Christopher 13 2020 The 3-by-3 lemma for regular Goursat categories. Zbl 1070.18007 Lack, Stephen 12 2004 Spaces of topological complexity one. Zbl 1277.55001 Grant, Mark; Lupton, Gregory; Oprea, John 12 2013 The Euler characteristic of a category as the sum of a divergent series. Zbl 1132.18007 Berger, Clemens; Leinster, Tom 12 2008 The second real Johnson-Wilson theory and nonimmersions of \(RP^n\). Zbl 1160.55002 Kitchloo, Nitu; Wilson, W. Stephen 12 2008 Homotopy nilpotency in localized \(\text{SU}(n)\). Zbl 1181.55011 Kishimoto, Daisuke 12 2009 On the chain-level intersection pairing for PL pseudomanifolds. Zbl 1213.55004 Friedman, Greg 12 2009 The Bousfield lattice for truncated polynomial algebras. Zbl 1161.18005 Dwyer, W. G.; Palmieri, J. 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Zbl 1478.55011 Basu, Samik; Blanc, David; Sen, Debasis 1 2021 The homotopy type of the Baily-Borel and allied compactifications. Zbl 1481.14040 Chen, Jiaming; Looijenga, Eduard 1 2021 Magnitude homology, diagonality, and median spaces. Zbl 1493.55007 Bottinelli, Rémi; Kaiser, Tom 1 2021 An algebraic representation of globular sets. Zbl 1440.55014 Medina-Mardones, Anibal M. 14 2020 Linear motion planning with controlled collisions and pure planar braids. Zbl 1455.55001 González, Jesús; León-Medina, José Luis; Roque-Márquez, Christopher 13 2020 Multiplicative structure of the cohomology ring of real toric spaces. Zbl 1479.57064 Choi, Suyoung; Park, Hanchul 12 2020 Erosion distance for generalized persistence modules. Zbl 1436.55010 Puuska, Ville 10 2020 The trace of the local \(\mathbb{A}^1\)-degree. Zbl 1456.14027 Brazelton, Thomas; Burklund, Robert; McKean, Stephen; Montoro, Michael; Opie, Morgan 8 2020 Flag Bott manifolds of general Lie type and their equivariant cohomology rings. Zbl 1434.55006 Kaji, Shizuo; Kuroki, Shintarô; Lee, Eunjeong; Suh, Dong Youp 6 2020 Minimal models for monomial algebras. Zbl 1462.16008 Tamaroff, Pedro 6 2020 Equivariant higher Hochschild homology and topological field theories. Zbl 1453.57025 Müller, Lukas; Woike, Lukas 4 2020 Fixed points of coisotropic subgroups of \(\Gamma_k\) on decomposition spaces. Zbl 1476.55021 Arone, Gregory; Lesh, Kathryn 4 2020 Kapranov’s construction of \(\mathrm{sh}\) Leibniz algebras. Zbl 1477.17014 Chen, Zhuo; Liu, Zhangju; Xiang, Maosong 4 2020 The \(v_n\)-periodic Goodwillie tower on wedges and cofibres. Zbl 1431.55013 Brantner, Lukas; Heuts, Gijs 4 2020 The operad that co-represents enrichment. Zbl 1469.18030 Macpherson, Andrew W. 4 2020 Medians of populations of persistence diagrams. Zbl 1507.55010 Turner, Katharine 3 2020 Algebraic cobordism in mixed characteristic. Zbl 1440.14126 Spitzweck, Markus 3 2020 A simplicial construction for noncommutative settings. 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Zbl 1423.18055 Bourn, Dominique; Montoli, Andrea 6 2019 ...and 537 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,147 Authors 19 Schreiber, Urs 17 Bondarko, Mikhail Vladimirovich 17 Gran, Marino 17 Greenlees, John P. C. 17 Nelson, Sam 16 Liu, Zhong-kui 16 Sati, Hisham 15 Félix, Yves 15 Gillespie, James 15 Herzog, Jürgen 15 Kishimoto, Daisuke 15 Lazarev, Andrey 15 Mathew, Akhil 15 Muranov, Yuriĭ Vladimirovich 15 Østvær, Paul Arne 14 Benkhalifa, Mahmoud 14 Sheng, Yunhe 13 Barthel, Tobias 13 Garkusha, Grigory 13 Khmaladze, Emzar 13 Martins-Ferreira, Nelson 12 Ara, Dimitri 12 Bobrowski, Omer 12 Gaucher, Philippe 12 Haugseng, Rune 12 Hess, Kathryn P. 12 Ladra González, Manuel 12 Leites, Dimitry A. 12 Levine, Marc Noel 12 Martins, João Nuno Goncalves Faria 12 Meier, Lennart 12 Owada, Takashi 12 Rovelli, Martina 12 Singh, Mahender 11 Bubenik, Peter 11 Casas Miras, José Manuel 11 Gutiérrez, Javier J. 11 Hackney, Philip 11 Herscovich, Estanislao 11 Hill, Michael A. 11 Medina-Mardones, Anibal M. 11 Mémoli, Facundo 11 Prvulović, Branislav I. 11 Riehl, Emily 11 Sämann, Christian 11 Solotar, Andrea Leonor 11 Tabuada, Gonçalo 10 Blanc, David Abraham 10 Goubault, Eric 10 Lawson, Tyler Douglas 10 Lipshitz, Robert 10 Panin, Ivan A. 10 Roitzheim, Constanze Susanne Ruth 10 Schlank, Tomer M. 10 Shipley, Brooke E. 10 Šťovíček, Jan 10 Yamaguchi, Toshihiro 9 Balmer, Paul 9 Bergner, Julie 9 Bouarroudj, Sofiane 9 Farber, Michael S. 9 Kahl, Thomas 9 Krause, Henning 9 Kupers, Alexander 9 Manchon, Dominique 9 Nikolaus, Thomas 9 Real, Pedro 9 Rosický, Jiří 9 Seidel, Paul 9 Shulman, Michael A. 9 Spitzweck, Markus 9 Stevenson, Greg 9 Thomas, Jean-Claude 9 Wei, Guowei 9 White, David 9 Witherspoon, Sarah J. 9 Wu, Jie 9 Yang, Gang 9 Zhu, Chenchang 8 Behrens, Mark Joseph 8 Berglund, Alexander 8 Blumberg, Andrew J. 8 Cegarra, Antonio Martínez 8 Gonzalez, Jesus 8 Iacob, Alina C. 8 Isaksen, Daniel C. 8 Kapulkin, Krzysztof 8 Khovanov, Mikhail G. 8 Montoli, Andrea 8 Ormsby, Kyle M. 8 Ozornova, Viktoriya 8 Pérez, Marco A. 8 Polishchuk, Alexander Evgen’evich 8 Rodelo, Diana 8 Tanré, Daniel 8 van der Linden, Tim 8 Vitale, Enrico Maria 8 Waldorf, Konrad 8 Wang, Zhanping 8 Wickelgren, Kirsten G. ...and 3,047 more Authors all top 5 Cited in 383 Journals 214 Journal of Pure and Applied Algebra 203 Advances in Mathematics 162 Algebraic & Geometric Topology 154 Journal of Algebra 108 Topology and its Applications 79 Journal of Homotopy and Related Structures 75 Applied Categorical Structures 67 Transactions of the American Mathematical Society 63 Communications in Algebra 60 Proceedings of the American Mathematical Society 59 Theory and Applications of Categories 58 Geometry & Topology 53 Mathematische Zeitschrift 47 Journal of Algebra and its Applications 43 Journal of Topology 38 Journal of Applied and Computational Topology 35 Compositio Mathematica 32 Selecta Mathematica. 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Series A 8 Mathematische Nachrichten 8 Semigroup Forum 8 Bulletin of the Korean Mathematical Society 8 Applicable Algebra in Engineering, Communication and Computing 8 Georgian Mathematical Journal 8 Journal of Lie Theory 8 Hacettepe Journal of Mathematics and Statistics 8 SIAM Journal on Applied Algebra and Geometry 8 Tunisian Journal of Mathematics 7 Geometriae Dedicata 7 Publications Mathématiques 7 Journal of the Mathematical Society of Japan 7 Advances in Applied Mathematics 7 The Annals of Applied Probability 7 Acta Mathematica Sinica. English Series 7 Algebra & Number Theory 7 Foundations of Data Science 6 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série ...and 283 more Journals all top 5 Cited in 55 Fields 1,470 Algebraic topology (55-XX) 1,265 Category theory; homological algebra (18-XX) 566 Algebraic geometry (14-XX) 560 Associative rings and algebras (16-XX) 495 Manifolds and cell complexes (57-XX) 314 Commutative algebra (13-XX) 305 Group theory and generalizations (20-XX) 273 Nonassociative rings and algebras (17-XX) 268 \(K\)-theory (19-XX) 261 Differential geometry (53-XX) 230 Combinatorics (05-XX) 158 Computer science (68-XX) 127 Quantum theory (81-XX) 121 Global analysis, analysis on manifolds (58-XX) 84 Number theory (11-XX) 68 Probability theory and stochastic processes (60-XX) 67 Topological groups, Lie groups (22-XX) 65 Functional analysis (46-XX) 62 Convex and discrete geometry (52-XX) 57 Statistics (62-XX) 54 Several complex variables and analytic spaces (32-XX) 54 General topology (54-XX) 52 Order, lattices, ordered algebraic structures (06-XX) 46 Mathematical logic and foundations (03-XX) 34 General algebraic systems (08-XX) 33 Dynamical systems and ergodic theory (37-XX) 33 Mechanics of particles and systems (70-XX) 22 Linear and multilinear algebra; matrix theory (15-XX) 21 Relativity and gravitational theory (83-XX) 20 Geometry (51-XX) 17 Partial differential equations (35-XX) 17 Biology and other natural sciences (92-XX) 14 General and overarching topics; collections (00-XX) 14 History and biography (01-XX) 14 Numerical analysis (65-XX) 13 Operator theory (47-XX) 13 Information and communication theory, circuits (94-XX) 9 Statistical mechanics, structure of matter (82-XX) 8 Field theory and polynomials (12-XX) 8 Measure and integration (28-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Ordinary differential equations (34-XX) 5 Difference and functional equations (39-XX) 5 Operations research, mathematical programming (90-XX) 4 Real functions (26-XX) 4 Systems theory; control (93-XX) 3 Abstract harmonic analysis (43-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Functions of a complex variable (30-XX) 2 Optics, electromagnetic theory (78-XX) 1 Special functions (33-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year