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 881 more Authors all top 5 Fields 499 Algebraic topology (55-XX) 329 Category theory; homological algebra (18-XX) 138 Manifolds and cell complexes (57-XX) 97 Associative rings and algebras (16-XX) 90 \(K\)-theory (19-XX) 89 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) 18 General topology (54-XX) 18 Global analysis, analysis on manifolds (58-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 614 Publications have been cited 4,070 times in 3,178 Documents Cited by ▼ Year ▼ Introduction to \(A\)-infinity algebras and modules. Zbl 0989.18009 Keller, Bernhard 147 2001 Resolutions by mapping cones. Zbl 1028.13008 Herzog, Jürgen; Takayama, Yukihide 97 2002 On left and right model categories and left and right Bousfield localizations. Zbl 1243.18025 Barwick, Clark 77 2010 Model structures on modules over Ding-Chen rings. Zbl 1231.16005 Gillespie, James 76 2010 Limit theorems for Betti numbers of random simplicial complexes. Zbl 1268.05180 Kahle, Matthew; Meckes, Elizabeth 52 2013 Product structures on four dimensional solvable Lie algebras. Zbl 1165.17303 Andrada, A.; Barberis, M. L.; Dotti, I. G.; Ovando, G. P. 49 2005 From loop groups to 2-groups. Zbl 1122.22003 Baez, John C.; Stevenson, Danny; Crans, Alissa S.; Schreiber, Urs 46 2007 Groupoids and crossed objects in algebraic topology. Zbl 0920.55002 Brown, Ronald 45 1999 Cotorsion pairs and degreewise homological model structures. Zbl 1140.18011 Gillespie, James 40 2008 Notes on 2-groupoids, 2-groups and crossed modules. Zbl 1221.18002 Noohi, Behrang 40 2007 Dwyer-Kan localization revisited. Zbl 1346.18024 Hinich, Vladimir 38 2016 Local and stable homological algebra in Grothendieck abelian categories. Zbl 1175.18007 Cisinski, Denis-Charles; Déglise, Frédéric 37 2009 Trees, free right-symmetric algebras, free Novikov algebras and identities. Zbl 1029.17001 Dzhumadil’daev, Askar; Löfwall, Clas 36 2002 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. 33 2015 \(A_\infty\)-subalgebras and natural transformations. Zbl 1215.53079 Seidel, Paul 32 2008 Smooth functors vs. differential forms. Zbl 1230.53025 Schreiber, Urs; Waldorf, Konrad 31 2011 Support varieties: an ideal approach. Zbl 1118.18005 Buan, Aslak Bakke; Krause, Henning; Solberg, Øyvind 31 2007 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 29 2000 A statistical approach to persistent homology. Zbl 1136.55004 Bubenik, Peter; Kim, Peter T. 26 2007 The congruence criterion for power operations in Morava \(E\)-theory. Zbl 1193.55010 Rezk, Charles 25 2009 Omega-categories and chain complexes. Zbl 1071.18005 Steiner, Richard 25 2004 Matrices and finite quandles. Zbl 1102.57008 Ho, Benita; Nelson, Sam 24 2005 Braid cobordisms, triangulated categories, and flag varieties. Zbl 1119.18008 Khovanov, Mikhail; Thomas, Richard 23 2007 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 23 2010 Categorical homotopy theory. Zbl 1087.18009 Jardine, J. F. 23 2006 Operations and co-operations in Morava \(E\)-theory. Zbl 1063.55003 Hovey, Mark 23 2004 Some geometric perspectives in concurrency theory. Zbl 1034.68059 Goubault, Eric 23 2003 Category of \(A_\infty\)-categories. Zbl 1026.18003 Lyubashenko, Volodymyr 23 2003 The ring of algebraic functions on persistence bar codes. Zbl 1420.55017 Adcock, Aaron; Carlsson, Erik; Carlsson, Gunnar 22 2016 Homological perturbation theory and associativity. Zbl 0949.18005 Real, Pedro 21 2000 Categorified symplectic geometry and the string Lie 2-algebra. Zbl 1277.70031 Baez, John C.; Rogers, Christopher L. 21 2010 Monoids and pointed \(S\)-protomodular categories. Zbl 1350.18019 Bourn, Dominique; Martins-Ferreira, Nelson; Montoli, Andrea; Sobral, Manuela 21 2016 \(L_{\infty}\)-algebras of local observables from higher prequantum bundles. Zbl 1401.53079 Fiorenza, Domenico; Rogers, Christopher L.; Schreiber, Urs 21 2014 Distance functions, critical points, and the topology of random Čech complexes. Zbl 1323.60026 Bobrowski, Omer; Adler, Robert J. 21 2014 A model category for the homotopy theory of concurrency. Zbl 1069.55008 Gaucher, Philippe 20 2003 The homology of \(\mathrm{tmf}\). Zbl 1357.55002 Mathew, Akhil 20 2016 The univalence axiom for elegant Reedy presheaves. Zbl 1352.55010 Shulman, Michael 20 2015 Rational homotopy theory of mapping spaces via Lie theory for \(L_\infty\)-algebras. Zbl 1347.55010 Berglund, Alexander 20 2015 A universality theorem for Voevodsky’s algebraic cobordism spectrum. Zbl 1162.14013 Panin, Ivan; Pimenov, Konstantin; Röndigs, Oliver 20 2008 Homology and robustness of level and interlevel sets. Zbl 1266.55004 Bendich, Paul; Edelsbrunner, Herbert; Morozov, Dmitriy; Patel, Amit 20 2013 Formality of Koszul brackets and deformations of holomorphic Poisson manifolds. Zbl 1267.18014 Fiorenza, Domenico; Manetti, Marco 19 2012 Relations between slices and quotients of the algebraic cobordism spectrum. Zbl 1209.14019 Spitzweck, Markus 19 2010 Semicoverings: a generalization of covering space theory. Zbl 1244.57010 Brazas, Jeremy 18 2012 Spectral enrichments of model categories. Zbl 1084.55011 Dugger, Daniel 18 2006 An alternate approach to the Lie bracket on Hochschild cohomology. Zbl 1353.16008 Negron, Cris; Witherspoon, Sarah 18 2016 On equivariant homotopy theory for model categories. Zbl 1357.18005 Stephan, Marc 18 2016 The observable structure of persistence modules. Zbl 1377.55015 Chazal, Frédéric; Crawley-Boevey, William; De Silva, Vin 18 2016 Manifold calculus and homotopy sheaves. Zbl 1291.18025 Boavida de Brito, Pedro; Weiss, Michael 18 2013 What does the classifying space of a category classify? Zbl 1093.57012 Weiss, Michael 17 2005 Noncommutative deformations of modules. Zbl 1013.16018 Laudal, O. A. 17 2002 Thick subcategories of the derived category of a hereditary algebra. Zbl 1142.18008 Brüning, Kristian 16 2007 Cofibrant objects among higher-dimensional categories. Zbl 1143.18007 Métayer, François 16 2008 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 Rouquier complexes are functorial over braid cobordisms. Zbl 1210.57014 Elias, Ben; Krasner, Dan 16 2010 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 15 2009 Matrices and finite biquandles. Zbl 1111.57009 Nelson, Sam; Vo, John 15 2006 The geometry of configuration spaces for closed chains in two and three dimensions. Zbl 1065.55010 Milgram, R. James; Trinkle, J. C. 15 2004 L-infinity maps and twistings. Zbl 1254.18008 Chuang, Joseph; Lazarev, Andrey 14 2011 On constructing weight structures and extending them to idempotent completions. Zbl 1394.14006 Bondarko, Mikhail V.; Sosnilo, Vladimir A. 14 2018 The cohomology ring of free loop spaces. Zbl 0974.55005 Menichi, Luc 14 2001 Additivity of Euler characteristics in relative algebraic \(K\)-groups. Zbl 1085.18011 Breuning, Manuel; Burns, David 14 2005 A construction of quotient \(A_\infty\)-categories. Zbl 1134.18002 Lyubashenko, Volodymyr; Ovsienko, Sergiy 14 2006 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. 14 2008 Multiplicative properties of Atiyah duality. Zbl 1072.55004 Cohen, Ralph L. 14 2004 Graphs associated with simplicial complexes. Zbl 1297.05269 Grigor’yan, A.; Muranov, Yu. V.; Yau, Shing-Tung 14 2014 Brave new Hopf algebroids and extensions of \(MU\)-algebras. Zbl 1380.55009 Baker, Andrew; Jeanneret, Alain 14 2002 Topological deformation of higher dimensional automata. Zbl 1030.68058 Gaucher, Philippe; Goubault, Eric 14 2003 Homotopy theory of posets. Zbl 1215.18017 Raptis, George 14 2010 Chromatic subdivision of a simplicial complex. Zbl 1259.68146 Kozlov, Dmitry N. 14 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 14 2018 Homotopy Rinehart cohomology of homotopy Lie-Rinehart pairs. Zbl 1005.17016 Kjeseth, Lars 13 2001 Extensions of racks and quandles. Zbl 1077.18010 Jackson, Nicholas 13 2005 A categorical guide to separation, compactness and perfectness. Zbl 0924.18003 Tholen, Walter 13 1999 Flat cyclic Fréchet modules, amenable Fréchet algebras, and approximate identities. Zbl 1180.46039 Pirkovskii, A. Yu. 13 2009 Categorifying the magnitude of a graph. Zbl 1377.05088 Hepworth, Richard; Willerton, Simon 13 2017 Computing homology. Zbl 1028.55001 Kaczynski, Tomasz; Mischaikow, Konstantin; Mrozek, Marian 13 2003 Homological algebra for diffeological vector spaces. Zbl 1318.18007 Wu, Enxin 13 2015 Simplification of complexes for persistent homology computations. Zbl 1295.55002 Dłotko, Paweł; Wagner, Hubert 13 2014 The Euler characteristic of a category as the sum of a divergent series. Zbl 1132.18007 Berger, Clemens; Leinster, Tom 12 2008 The Bousfield lattice for truncated polynomial algebras. Zbl 1161.18005 Dwyer, W. G.; Palmieri, J. H. 12 2008 On the chain-level intersection pairing for PL pseudomanifolds. Zbl 1213.55004 Friedman, Greg 12 2009 Semidirect products of categorical groups. Obstruction theory. Zbl 0984.18005 Garzón, Antonio; Inassaridze, Hvedri 12 2001 The second real Johnson-Wilson theory and nonimmersions of \(RP^n\). Zbl 1160.55002 Kitchloo, Nitu; Wilson, W. Stephen 12 2008 Umkehr maps. Zbl 1160.55005 Cohen, Ralph L.; Klein, John R. 12 2009 Homotopy nilpotency in localized \(\text{SU}(n)\). Zbl 1181.55011 Kishimoto, Daisuke 12 2009 The 3-by-3 lemma for regular Goursat categories. Zbl 1070.18007 Lack, Stephen 12 2004 Coalgebraic models for combinatorial model categories. Zbl 1311.18006 Ching, Michael; Riehl, Emily 12 2014 Power operations in orbifold Tate \(K\)-theory. Zbl 1277.19003 Ganter, Nora 12 2013 The cellularization principle for Quillen adjunctions. Zbl 1284.55021 Greenlees, J. P. C.; Shipley, B. 12 2013 An algebraic representation of globular sets. Zbl 1440.55014 Medina-Mardones, Anibal M. 12 2020 The equivariant slice filtration: a primer. Zbl 1403.55003 Hill, Michael A. 12 2012 \(K\)-motives of algebraic varieties. Zbl 1284.14029 Garkusha, Grigory; Panin, Ivan 12 2012 A refinement of multi-dimensional persistence. Zbl 1140.55005 Knudson, Kevin P. 11 2008 The rational homotopy type of the space of self-equivalences of a fibration. Zbl 1214.55011 Félix, Yves; Lupton, Gregory; Smith, Samuel B. 11 2010 On the cobar construction of a bialgebra. Zbl 1081.55009 Kadeishvili, T. 11 2005 \(K\)-theory of affine toric varieties. Zbl 0920.19001 Gubeladze, Joseph 11 1999 Galois theory and double central extensions. Zbl 1064.08004 Gran, Marino; Rossi, Valentina 11 2004 Koszul duality in higher topoi. Zbl 1511.18001 Beardsley, Jonathan; Péroux, Maximilien 1 2023 Stable equivariant complex cobordism of the symmetric group on three elements. Zbl 1521.55007 Hu, Po; Kriz, Igor; Lu, Yunze 1 2023 Derived universal Massey products. Zbl 1523.18019 Muro, Fernando 1 2023 Magnitude homology of graphs and discrete Morse theory on Asao-Izumihara complexes. Zbl 1516.55007 Tajima, Yu; Yoshinaga, Masahiko 1 2023 The category of Silva spaces is not integral. Zbl 1523.18006 Lawson, Marianne; Wegner, Sven-Ake 1 2023 Homotopy type of the space of finite propagation unitary operators on \(\mathbb{Z}\). Zbl 1514.55012 Kato, Tsuyoshi; Kishimoto, Daisuke; Tsutaya, Mitsunobu 1 2023 Self-closeness numbers of non-simply-connected spaces. Zbl 1528.55008 Tong, Yichen 1 2023 Reciprocity sheaves. II. 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Zbl 1511.55009 Muranov, Yuri; Szczepkowska, Anna; Vershinin, Vladimir 2 2022 Magnitude meets persistence: homology theories for filtered simplicial sets. Zbl 07626030 Otter, Nina 2 2022 Generalized persistence and graded structures. Zbl 1487.16041 Hyry, Eero; Klemetti, Markus 1 2022 Relative \(\mathbb{A}^1\)-homology and its applications. Zbl 1487.14055 Shimizu, Yuri 1 2022 On the extension problem for weak moment maps. Zbl 1502.53119 Mammadova, Leyli; Ryvkin, Leonid 1 2022 Bousfield-Segal spaces. Zbl 1493.18023 Stenzel, Raffael 1 2022 An \(R\)-motivic \(v_1\)-self-map of periodicity \(1\). Zbl 1509.55010 Bhattacharya, Prasit; Guillou, Bertrand; Li, Ang 1 2022 A wells type exact sequence for non-degenerate unitary solutions of the Yang-Baxter equation. Zbl 1517.16029 Bardakov, Valeriy; Singh, Mahender 1 2022 Ranks of homotopy and cohomology groups for rationally elliptic spaces and algebraic varieties. 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Zbl 1440.55014 Medina-Mardones, Anibal M. 12 2020 Multiplicative structure of the cohomology ring of real toric spaces. Zbl 1479.57064 Choi, Suyoung; Park, Hanchul 9 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 Linear motion planning with controlled collisions and pure planar braids. Zbl 1455.55001 González, Jesús; León-Medina, José Luis; Roque-Márquez, Christopher 8 2020 Erosion distance for generalized persistence modules. Zbl 1436.55010 Puuska, Ville 7 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 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 Flag Bott manifolds of general Lie type and their equivariant cohomology rings. Zbl 1434.55006 Kaji, Shizuo; Kuroki, Shintarô; Lee, Eunjeong; Suh, Dong Youp 4 2020 Fixed points of coisotropic subgroups of \(\Gamma_k\) on decomposition spaces. Zbl 1476.55021 Arone, Gregory; Lesh, Kathryn 3 2020 A simplicial construction for noncommutative settings. Zbl 1465.16007 Carolus, Samuel; Laubacher, Jacob; Staic, Mihai D. 3 2020 The operad that co-represents enrichment. Zbl 1469.18030 Macpherson, Andrew W. 3 2020 Compatible actions in semi-abelian categories. Zbl 1440.18014 di Micco, Davide; Van der Linden, Tim 3 2020 Couniversal spaces which are equivariantly commutative ring spectra. Zbl 1440.18038 Greenlees, J. P. C. 2 2020 Medians of populations of persistence diagrams. Zbl 1507.55010 Turner, Katharine 2 2020 (Co)homology self-closeness numbers of simply-connected spaces. Zbl 1457.55005 Li, Pengcheng 2 2020 Vector bundles and cohomotopies of spin 5-manifolds. Zbl 1508.57036 Konstantis, Panagiotis 2 2020 Flatness and Shipley’s algebraicization theorem. Zbl 1460.55009 Williamson, Jordan 2 2020 Geometric approach to graph magnitude homology. Zbl 1472.55005 Asao, Yasuhiko; Izumihara, Kengo 2 2020 Algebraic cobordism in mixed characteristic. Zbl 1440.14126 Spitzweck, Markus 2 2020 A \(\operatorname{dg}\) Lie model for relative homotopy automorphisms. Zbl 1516.55011 Berglund, Alexander; Saleh, Bashar 2 2020 Crossed modules and symmetric cohomology of groups. Zbl 1440.20017 Pirashvili, Mariam 2 2020 Koszul duality and the Hochschild cohomology of Artin-Schelter regular algebras. Zbl 1440.14009 Liu, Leilei 2 2020 So, what is a derived functor? Zbl 1440.18015 Hinich, Vladimir 2 2020 The Euler characteristic of the regular spherical polygon spaces. Zbl 1436.55024 Kamiyama, Yasuhiko 1 2020 A higher Whitehead theorem and the embedding of quasicategories in prederivators. Zbl 1432.18018 Arlin, Kevin 1 2020 \(K_1\)-groups via binary complexes of fixed length. Zbl 1455.19003 Kasprowski, Daniel; Köck, Bernhard; Winges, Christoph 1 2020 On trivialities of Euler classes of oriented vector bundles over manifolds. Zbl 1456.57025 Naolekar, Aniruddha C.; Subhash, B.; Thakur, Ajay Singh 1 2020 A lax monoidal model for multilinearization. Zbl 1439.55012 Yeakel, Sarah 1 2020 Cohomology of the classifying spaces of \(U(n)\)-gauge groups over the 2-sphere. Zbl 1454.55016 Takeda, Masahiro 1 2020 Biased permutative equivariant categories. Zbl 1505.55023 Bangs, Kayleigh; Binegar, Skye; Kim, Young; Ormsby, Kyle; Osorno, Angélica M.; Tamas-Parris, David; Xu, Livia 1 2020 Unstable algebras over an operad. Zbl 1462.55008 Ikonicoff, Sacha 1 2020 The local hyperbolicity of \(\mathbf{A}_n^2\)-complexes. 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Zbl 1394.14006 Bondarko, Mikhail V.; Sosnilo, Vladimir A. 14 2018 On the path homology theory of digraphs and Eilenberg-Steenrod axioms. Zbl 1391.05125 Grigor’yan, Alexander; Jimenez, Rolando; Muranov, Yuri; Yau, Shing-Tung 14 2018 A comparison of two models of orbispaces. Zbl 1396.55013 Körschgen, Alexander 6 2018 ...and 514 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,952 Authors 19 Schreiber, Urs 17 Gran, Marino 17 Nelson, Sam 16 Liu, Zhong-kui 15 Bondarko, Mikhail Vladimirovich 15 Gillespie, James 15 Lazarev, Andrey 15 Leites, Dimitry A. 15 Muranov, Yuriĭ Vladimirovich 15 Sati, Hisham 14 Greenlees, John P. C. 14 Kishimoto, Daisuke 14 Østvær, Paul Arne 13 Barthel, Tobias 13 Félix, Yves 13 Garkusha, Grigory 13 Herzog, Jürgen 13 Martins-Ferreira, Nelson 13 Sheng, Yunhe 12 Ara, Dimitri 12 Benkhalifa, Mahmoud 12 Khmaladze, Emzar 12 Martins, João Nuno Goncalves Faria 12 Mathew, Akhil 12 Owada, Takashi 11 Bobrowski, Omer 11 Gaucher, Philippe 11 Haugseng, Rune 11 Hess, Kathryn P. 11 Hill, Michael A. 11 Ladra González, Manuel 11 Levine, Marc Noel 11 Meier, Lennart 11 Rovelli, Martina 11 Sämann, Christian 10 Blanc, David Abraham 10 Bouarroudj, Sofiane 10 Bubenik, Peter 10 Casas Miras, José Manuel 10 Gutiérrez, Javier J. 10 Hackney, Philip 10 Herscovich, Estanislao 10 Lawson, Tyler Douglas 10 Lipshitz, Robert 10 Roitzheim, Constanze Susanne Ruth 10 Schlank, Tomer M. 10 Solotar, Andrea Leonor 10 Tabuada, Gonçalo 9 Goubault, Eric 9 Krause, Henning 9 Panin, Ivan A. 9 Prvulović, Branislav I. 9 Real, Pedro 9 Rosický, Jiří 9 Seidel, Paul 9 Shulman, Michael A. 9 Šťovíček, Jan 9 Thomas, Jean-Claude 9 van der Linden, Tim 9 Yamaguchi, Toshihiro 9 Yang, Gang 9 Zhu, Chenchang 8 Balmer, Paul 8 Bergner, Julie 8 Blumberg, Andrew J. 8 Cegarra, Antonio Martínez 8 Farber, Michael S. 8 Iacob, Alina C. 8 Kahl, Thomas 8 Khovanov, Mikhail G. 8 Medina-Mardones, Anibal M. 8 Montoli, Andrea 8 Nikolaus, Thomas 8 Ozornova, Viktoriya 8 Pérez, Marco A. 8 Riehl, Emily 8 Rodelo, Diana 8 Shipley, Brooke E. 8 Singh, Mahender 8 Spitzweck, Markus 8 Stapleton, Nathaniel 8 Wang, Zhanping 8 Wei, Guowei 8 Wickelgren, Kirsten G. 8 Witherspoon, Sarah J. 8 Wu, Jie 7 Abouzaid, Mohammed 7 Bachmann, Tom 7 Baker, Andrew J. 7 Balchin, Scott 7 Behrens, Mark Joseph 7 Bergh, Petter Andreas 7 Berglund, Alexander 7 Bräunling, Oliver 7 Choi, Suyoung 7 Dell’Ambrogio, Ivo 7 Edelsbrunner, Herbert 7 Forcey, Stefan 7 Friedman, Greg 7 García-Martínez, Xabier ...and 2,852 more Authors all top 5 Cited in 367 Journals 200 Journal of Pure and Applied Algebra 193 Advances in Mathematics 144 Journal of Algebra 143 Algebraic & Geometric Topology 102 Topology and its Applications 74 Applied Categorical Structures 74 Journal of Homotopy and Related Structures 64 Transactions of the American Mathematical Society 61 Communications in Algebra 57 Proceedings of the American Mathematical Society 55 Geometry & Topology 49 Mathematische Zeitschrift 48 Theory and Applications of Categories 44 Journal of Algebra and its Applications 34 Compositio Mathematica 33 Journal of Applied and Computational Topology 31 Selecta Mathematica. 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Series A 8 Journal für die Reine und Angewandte Mathematik 8 Georgian Mathematical Journal 8 Hacettepe Journal of Mathematics and Statistics 8 Oberwolfach Reports 8 SIAM Journal on Applied Algebra and Geometry 8 Tunisian Journal of Mathematics 7 Collectanea Mathematica 7 Geometriae Dedicata 7 Publications Mathématiques 7 Journal of the Mathematical Society of Japan 7 Semigroup Forum 7 Bulletin of the Korean Mathematical Society 7 The Annals of Applied Probability 7 Applicable Algebra in Engineering, Communication and Computing 7 Journal of Lie Theory 7 Acta Mathematica Sinica. English Series 7 Foundations of Data Science 6 Journal of the Korean Mathematical Society 6 Advances in Applied Mathematics 6 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 6 Stochastic Processes and their Applications ...and 267 more Journals all top 5 Cited in 54 Fields 1,339 Algebraic topology (55-XX) 1,162 Category theory; homological algebra (18-XX) 522 Algebraic geometry (14-XX) 517 Associative rings and algebras (16-XX) 449 Manifolds and cell complexes (57-XX) 294 Commutative algebra (13-XX) 277 Group theory and generalizations (20-XX) 253 Nonassociative rings and algebras (17-XX) 251 \(K\)-theory (19-XX) 242 Differential geometry (53-XX) 208 Combinatorics (05-XX) 147 Computer science (68-XX) 117 Quantum theory (81-XX) 109 Global analysis, analysis on manifolds (58-XX) 80 Number theory (11-XX) 63 Topological groups, Lie groups (22-XX) 63 Probability theory and stochastic processes (60-XX) 59 Functional analysis (46-XX) 58 Convex and discrete geometry (52-XX) 53 Statistics (62-XX) 50 General topology (54-XX) 49 Several complex variables and analytic spaces (32-XX) 45 Order, lattices, ordered algebraic structures (06-XX) 41 Mathematical logic and foundations (03-XX) 32 General algebraic systems (08-XX) 30 Dynamical systems and ergodic theory (37-XX) 30 Mechanics of particles and systems (70-XX) 21 Relativity and gravitational theory (83-XX) 20 Linear and multilinear algebra; matrix theory (15-XX) 17 Biology and other natural sciences (92-XX) 16 Geometry (51-XX) 14 Partial differential equations (35-XX) 12 History and biography (01-XX) 12 Numerical analysis (65-XX) 11 General and overarching topics; collections (00-XX) 11 Operator theory (47-XX) 11 Information and communication theory, circuits (94-XX) 8 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) 4 Operations research, mathematical programming (90-XX) 3 Abstract harmonic analysis (43-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 Harmonic analysis on Euclidean spaces (42-XX) 1 Optics, electromagnetic theory (78-XX) Citations by Year