## 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: Indexed cover-to-cover
 Documents Indexed: 743 Publications (since 1999)
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### Latest Issues

 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)
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### Authors

 7 Kishimoto, Daisuke 6 Gran, Marino 5 Grandis, Marco 5 Greenlees, John P. C. 5 Kaygun, Atabey 5 Ladra González, Manuel 4 Basu, Samik 4 Bauer, Friedrich-Wilhelm 4 Benkhalifa, Mahmoud 4 Bergner, Julie 4 Carlsson, Gunnar E. 4 Casas Miras, José Manuel 4 Gaucher, Philippe 4 Goubault, Eric 4 Hess, Kathryn P. 4 Jardine, John Frederick 4 Khmaladze, Emzar 4 Klein, John Robert 4 Mannan, Wajid H. 4 Martins, João Nuno Goncalves Faria 4 May, Jon Peter 4 Nelson, Sam 4 Real, Pedro 4 Rosický, Jiří 4 Theriault, Stephen D. 4 van der Linden, Tim 4 Vitale, Enrico Maria 4 Wilson, W. Stephen 3 Arvasi, Zekeriya 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 Davis, Donald M. 3 Donadze, Guram 3 Félix, Yves 3 Ghosh, Surojit 3 Gillespie, James 3 Gonzalez, Jesus 3 Holstein, Julian V. S. 3 Hovey, Mark A. 3 Hu, Po 3 Iriye, Kouyemon 3 Isaksen, Daniel C. 3 Kȩdziorek, Magdalena 3 Koceić Bilan, Nikola 3 Köck, Bernhard 3 Kuribayashi, Katsuhiko 3 Lambe, Larry Albert 3 Leites, Dimitry A. 3 Libman, Assaf 3 Löfwall, Clas 3 Lupton, Gregory M. 3 Lyubashenko, Volodymyr V. 3 Minian, Elias Gabriel 3 Mrozik, Peter Alexander 3 Muranov, Yuriĭ Vladimirovich 3 Pan, Jianzhong 3 Panin, Ivan A. 3 Raptis, George 3 Röndigs, Oliver 3 Saneblidze, Samson 3 Schreiber, Urs 3 Shulman, Michael A. 3 Spitzweck, Markus 3 Tabuada, Gonçalo 3 Umble, Ronald N. 3 Yamaguchi, Toshihiro 3 Yau, Donald Y. 3 Yau, Shing-Tung 3 Zhu, ZhongJian 2 Avramov, Luchezar L. 2 Baez, John C. 2 Bahri, Anthony P. 2 Barwick, Clark 2 Berglund, Alexander 2 Bisson, Terrence Paul 2 Boardman, J. Michael 2 Catanzaro, Michael J. 2 Chernyak, Vladimir Y. 2 Chorny, Boris 2 Chuang, Joseph 2 Cigoli, Alan S. 2 Clader, Emily 2 Cohen, Frederick Ronald 2 Costenoble, Steven R. 2 Crans, Alissa S. 2 Duan, Haibao 2 Dundas, Bjørn Ian 2 Dzhumadil’daev, Askar Serkulovich 2 Edelsbrunner, Herbert 2 Ellis, Graham J. ...and 790 more Authors
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### Fields

 442 Algebraic topology (55-XX) 304 Category theory; homological algebra (18-XX) 125 Manifolds and cell complexes (57-XX) 87 Associative rings and algebras (16-XX) 82 $$K$$-theory (19-XX) 80 Algebraic geometry (14-XX) 69 Group theory and generalizations (20-XX) 48 Commutative algebra (13-XX) 43 Nonassociative rings and algebras (17-XX) 31 Computer science (68-XX) 28 Combinatorics (05-XX) 17 Global analysis, analysis on manifolds (58-XX) 16 General topology (54-XX) 13 Differential geometry (53-XX) 12 Number theory (11-XX) 10 Convex and discrete geometry (52-XX) 9 Topological groups, Lie groups (22-XX) 9 Functional analysis (46-XX) 8 General and overarching topics; collections (00-XX) 7 Order, lattices, ordered algebraic structures (06-XX) 7 Several complex variables and analytic spaces (32-XX) 7 Quantum theory (81-XX) 6 General algebraic systems (08-XX) 5 Mechanics of particles and systems (70-XX) 4 History and biography (01-XX) 4 Mathematical logic and foundations (03-XX) 4 Probability theory and stochastic processes (60-XX) 4 Statistics (62-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 2 Dynamical systems and ergodic theory (37-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 Field theory and polynomials (12-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)

### Citations contained in zbMATH Open

534 Publications have been cited 3,040 times in 2,412 Documents Cited by Year
Introduction to $$A$$-infinity algebras and modules. Zbl 0989.18009
Keller, Bernhard
2001
Resolutions by mapping cones. Zbl 1028.13008
Herzog, Jürgen; Takayama, Yukihide
2002
On left and right model categories and left and right Bousfield localizations. Zbl 1243.18025
Barwick, Clark
2010
Model structures on modules over Ding-Chen rings. Zbl 1231.16005
Gillespie, James
2010
Groupoids and crossed objects in algebraic topology. Zbl 0920.55002
Brown, Ronald
1999
Product structures on four dimensional solvable Lie algebras. Zbl 1165.17303
Andrada, A.; Barberis, M. L.; Dotti, I. G.; Ovando, G. P.
2005
From loop groups to 2-groups. Zbl 1122.22003
Baez, John C.; Stevenson, Danny; Crans, Alissa S.; Schreiber, Urs
2007
Cotorsion pairs and degreewise homological model structures. Zbl 1140.18011
Gillespie, James
2008
Limit theorems for Betti numbers of random simplicial complexes. Zbl 1268.05180
Kahle, Matthew; Meckes, Elizabeth
2013
Notes on 2-groupoids, 2-groups and crossed modules. Zbl 1221.18002
Noohi, Behrang
2007
Local and stable homological algebra in Grothendieck abelian categories. Zbl 1175.18007
Cisinski, Denis-Charles; Déglise, Frédéric
2009
Trees, free right-symmetric algebras, free Novikov algebras and identities. Zbl 1029.17001
2002
Smooth functors vs. differential forms. Zbl 1230.53025
2011
$$A_\infty$$-subalgebras and natural transformations. Zbl 1215.53079
Seidel, Paul
2008
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.
2015
A statistical approach to persistent homology. Zbl 1136.55004
Bubenik, Peter; Kim, Peter T.
2007
On the Freyd categories of an additive category. Zbl 1066.18008
Beligiannis, Apostolos
2000
Braid cobordisms, triangulated categories, and flag varieties. Zbl 1119.18008
Khovanov, Mikhail; Thomas, Richard
2007
Diagonals on the permutahedra, multiplihedra and associahedra. Zbl 1069.55015
Saneblidze, Samson; Umble, Ronald
2004
Oriented cohomology theories of algebraic varieties. II. Zbl 1169.14016
Panin, Ivan
2009
Matrices and finite quandles. Zbl 1102.57008
Ho, Benita; Nelson, Sam
2005
Support varieties: an ideal approach. Zbl 1118.18005
Buan, Aslak Bakke; Krause, Henning; Solberg, Øyvind
2007
Dwyer-Kan localization revisited. Zbl 1346.18024
2016
Some geometric perspectives in concurrency theory. Zbl 1034.68059
Goubault, Eric
2003
Categorified symplectic geometry and the string Lie 2-algebra. Zbl 1277.70031
Baez, John C.; Rogers, Christopher L.
2010
Categorical homotopy theory. Zbl 1087.18009
Jardine, J. F.
2006
Homological perturbation theory and associativity. Zbl 0949.18005
Real, Pedro
2000
Category of $$A_\infty$$-categories. Zbl 1026.18003
Lyubashenko, Volodymyr
2003
A model category for the homotopy theory of concurrency. Zbl 1069.55008
Gaucher, Philippe
2003
The ring of algebraic functions on persistence bar codes. Zbl 1420.55017
Adcock, Aaron; Carlsson, Erik; Carlsson, Gunnar
2016
Homology and robustness of level and interlevel sets. Zbl 1266.55004
Bendich, Paul; Edelsbrunner, Herbert; Morozov, Dmitriy; Patel, Amit
2013
Spectral enrichments of model categories. Zbl 1084.55011
Dugger, Daniel
2006
The congruence criterion for power operations in Morava $$E$$-theory. Zbl 1193.55010
Rezk, Charles
2009
Operations and co-operations in Morava $$E$$-theory. Zbl 1063.55003
Hovey, Mark
2004
Formality of Koszul brackets and deformations of holomorphic Poisson manifolds. Zbl 1267.18014
Fiorenza, Domenico; Manetti, Marco
2012
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
2010
Rational homotopy theory of mapping spaces via Lie theory for $$L_\infty$$-algebras. Zbl 1347.55010
Berglund, Alexander
2015
Omega-categories and chain complexes. Zbl 1071.18005
Steiner, Richard
2004
A universality theorem for Voevodsky’s algebraic cobordism spectrum. Zbl 1162.14013
Panin, Ivan; Pimenov, Konstantin; Röndigs, Oliver
2008
Semicoverings: a generalization of covering space theory. Zbl 1244.57010
Brazas, Jeremy
2012
Monoids and pointed $$S$$-protomodular categories. Zbl 1350.18019
Bourn, Dominique; Martins-Ferreira, Nelson; Montoli, Andrea; Sobral, Manuela
2016
The geometry of configuration spaces for closed chains in two and three dimensions. Zbl 1065.55010
Milgram, R. James; Trinkle, J. C.
2004
$$L_{\infty}$$-algebras of local observables from higher prequantum bundles. Zbl 1401.53079
Fiorenza, Domenico; Rogers, Christopher L.; Schreiber, Urs
2014
The cohomology ring of free loop spaces. Zbl 0974.55005
Menichi, Luc
2001
What does the classifying space of a category classify? Zbl 1093.57012
Weiss, Michael
2005
Topological deformation of higher dimensional automata. Zbl 1030.68058
Gaucher, Philippe; Goubault, Eric
2003
Matrices and finite biquandles. Zbl 1111.57009
Nelson, Sam; Vo, John
2006
Relations between slices and quotients of the algebraic cobordism spectrum. Zbl 1209.14019
Spitzweck, Markus
2010
A categorical guide to separation, compactness and perfectness. Zbl 0924.18003
Tholen, Walter
1999
Thick subcategories of the derived category of a hereditary algebra. Zbl 1142.18008
Brüning, Kristian
2007
Noncommutative deformations of modules. Zbl 1013.16018
Laudal, O. A.
2002
Multiplicative properties of Atiyah duality. Zbl 1072.55004
Cohen, Ralph L.
2004
An alternate approach to the Lie bracket on Hochschild cohomology. Zbl 1353.16008
Negron, Cris; Witherspoon, Sarah
2016
Distance functions, critical points, and the topology of random Čech complexes. Zbl 1323.60026
2014
Chromatic subdivision of a simplicial complex. Zbl 1259.68146
Kozlov, Dmitry N.
2012
Additivity of Euler characteristics in relative algebraic $$K$$-groups. Zbl 1085.18011
Breuning, Manuel; Burns, David
2005
Rouquier complexes are functorial over braid cobordisms. Zbl 1210.57014
Elias, Ben; Krasner, Dan
2010
The 3-by-3 lemma for regular Goursat categories. Zbl 1070.18007
Lack, Stephen
2004
Brave new Hopf algebroids and extensions of $$MU$$-algebras. Zbl 1380.55009
Baker, Andrew; Jeanneret, Alain
2002
On the chain-level intersection pairing for PL pseudomanifolds. Zbl 1213.55004
Friedman, Greg
2009
Cofibrant objects among higher-dimensional categories. Zbl 1143.18007
Métayer, François
2008
The rational homotopy type of the space of self-equivalences of a fibration. Zbl 1214.55011
Félix, Yves; Lupton, Gregory; Smith, Samuel B.
2010
On constructing weight structures and extending them to idempotent completions. Zbl 1394.14006
Bondarko, Mikhail V.; Sosnilo, Vladimir A.
2018
Semidirect products of categorical groups. Obstruction theory. Zbl 0984.18005
Garzón, Antonio; Inassaridze, Hvedri
2001
L-infinity maps and twistings. Zbl 1254.18008
Chuang, Joseph; Lazarev, Andrey
2011
Manifold calculus and homotopy sheaves. Zbl 1291.18025
Boavida de Brito, Pedro; Weiss, Michael
2013
The Bousfield lattice for truncated polynomial algebras. Zbl 1161.18005
Dwyer, W. G.; Palmieri, J. H.
2008
The second real Johnson-Wilson theory and nonimmersions of $$RP^n$$. Zbl 1160.55002
Kitchloo, Nitu; Wilson, W. Stephen
2008
Homotopy nilpotency in localized $$\text{SU}(n)$$. Zbl 1181.55011
Kishimoto, Daisuke
2009
The univalence axiom for elegant Reedy presheaves. Zbl 1352.55010
Shulman, Michael
2015
Spaces of topological complexity one. Zbl 1277.55001
Grant, Mark; Lupton, Gregory; Oprea, John
2013
On dimensions in Bredon homology. Zbl 1068.20054
Nucinkis, Brita E. A.
2004
Galois theory and double central extensions. Zbl 1064.08004
Gran, Marino; Rossi, Valentina
2004
Extensions of symmetric cat-groups. Zbl 1386.18023
Bourn, D.; Vitale, E. M.
2002
Homotopy theory of symmetric powers. Zbl 1390.18023
Pavlov, Dmitri; Scholbach, Jakob
2018
Homotopy Rinehart cohomology of homotopy Lie-Rinehart pairs. Zbl 1005.17016
Kjeseth, Lars
2001
$$K$$-motives of algebraic varieties. Zbl 1284.14029
Garkusha, Grigory; Panin, Ivan
2012
Extensions of racks and quandles. Zbl 1077.18010
Jackson, Nicholas
2005
Computing homology. Zbl 1028.55001
Kaczynski, Tomasz; Mischaikow, Konstantin; Mrozek, Marian
2003
The second real Johnson-Wilson theory and nonimmersions of $$RP^n$$. II. Zbl 1161.55002
Kitchloo, Nitu; Wilson, W. Stephen
2008
Flat cyclic Fréchet modules, amenable Fréchet algebras, and approximate identities. Zbl 1180.46039
Pirkovskii, A. Yu.
2009
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
2009
$$K$$-theory of affine toric varieties. Zbl 0920.19001
1999
Inequilogical spaces, directed homology and noncommutative geometry. Zbl 1079.18001
Grandis, Marco
2004
Monoidal bicategories and extensions of gr-categories. (Bicatégories monoidales et extensions de gr-catégories.) Zbl 1068.18007
2003
The fundamental 2-crossed complex of a reduced CW-complex. Zbl 1230.55012
Martins, João Faria
2011
The Euler characteristic of a category as the sum of a divergent series. Zbl 1132.18007
Berger, Clemens; Leinster, Tom
2008
Homological algebra for diffeological vector spaces. Zbl 1318.18007
Wu, Enxin
2015
Using torsion theory to compute the algebraic structure of Hochschild (co)homology. Zbl 1418.16006
Herscovich, Estanislao
2018
Mayer-Vietoris sequences in stable derivators. Zbl 1305.55011
Groth, Moritz; Ponto, Kate; Shulman, Michael
2014
Cores of spaces, spectra, and $$E_\infty$$ ring spectra. Zbl 0987.55009
Hu, P.; Kriz, I.; May, J. P.
2001
Stacks and the homotopy theory of simplicial sheaves. Zbl 0995.18006
Jardine, J. F.
2001
The equivariant slice filtration: a primer. Zbl 1403.55003
Hill, Michael A.
2012
On the cobar construction of a bialgebra. Zbl 1081.55009
2005
Umkehr maps. Zbl 1160.55005
Cohen, Ralph L.; Klein, John R.
2009
Support and injective resolutions of complexes over commutative rings. Zbl 1185.13015
Chen, Xiao-Wu; Iyengar, Srikanth B.
2010
The observable structure of persistence modules. Zbl 1377.55015
Chazal, Frédéric; Crawley-Boevey, William; De Silva, Vin
2016
Koszul homology and Lie algebras with application to generic forms and points. Zbl 1066.13014
Fröberg, R.; Löfwal, C.
2002
Extensions of homogeneous coordinate rings to {$$A_\infty$$}-algebras. Zbl 1121.55005
Polishchuk, A.
2003
Model structure on operads in orthogonal spectra. Zbl 1137.18006
Kro, Tore August
2007
Left Bousfield localization and Eilenberg-Moore categories. Zbl 1476.18004
Batanin, Michael; White, David
2021
Higher structure in the unstable Adams spectral sequence. Zbl 1478.55011
Basu, Samik; Blanc, David; Sen, Debasis
2021
Two-dimensional Golod complexes. Zbl 07420251
Iriye, Kouyemon; Kishimoto, Daisuke
2021
Comparing the orthogonal and unitary functor calculi. Zbl 1477.55010
Taggart, Niall
2021
The Tamarkin-Tsygan calculus of an associative algebra à la Stasheff. Zbl 1480.16021
Tamaroff, Pedro
2021
Gauge equivalence for complete $$L_\infty$$-algebras. Zbl 07420254
Guan, Ai
2021
An algebraic representation of globular sets. Zbl 1440.55014
Medina-Mardones, Anibal M.
2020
The $$v_n$$-periodic Goodwillie tower on wedges and cofibres. Zbl 1431.55013
Brantner, Lukas; Heuts, Gijs
2020
Erosion distance for generalized persistence modules. Zbl 1436.55010
Puuska, Ville
2020
Multiplicative structure of the cohomology ring of real toric spaces. Zbl 1479.57064
Choi, Suyoung; Park, Hanchul
2020
Kapranov’s construction of $$\mathrm{sh}$$ Leibniz algebras. Zbl 1477.17014
Chen, Zhuo; Liu, Zhangju; Xiang, Maosong
2020
Linear motion planning with controlled collisions and pure planar braids. Zbl 1455.55001
González, Jesús; León-Medina, José Luis; Roque-Márquez, Christopher
2020
Minimal models for monomial algebras. Zbl 1462.16008
Tamaroff, Pedro
2020
The trace of the local $$\mathbb{A}^1$$-degree. Zbl 1456.14027
Brazelton, Thomas; Burklund, Robert; McKean, Stephen; Montoro, Michael; Opie, Morgan
2020
The Euler characteristic of the regular spherical polygon spaces. Zbl 1436.55024
Kamiyama, Yasuhiko
2020
Couniversal spaces which are equivariantly commutative ring spectra. Zbl 1440.18038
Greenlees, J. P. C.
2020
Fixed points of coisotropic subgroups of $$\Gamma_k$$ on decomposition spaces. Zbl 1476.55021
Arone, Gregory; Lesh, Kathryn
2020
$$K_1$$-groups via binary complexes of fixed length. Zbl 1455.19003
Kasprowski, Daniel; Köck, Bernhard; Winges, Christoph
2020
On trivialities of Euler classes of oriented vector bundles over manifolds. Zbl 1456.57025
Naolekar, Aniruddha C.; Subhash, B.; Thakur, Ajay Singh
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
2020
Algebraic cobordism in mixed characteristic. Zbl 1440.14126
Spitzweck, Markus
2020
A $$\operatorname{dg}$$ Lie model for relative homotopy automorphisms. Zbl 07204883
Berglund, Alexander; Saleh, Bashar
2020
Crossed modules and symmetric cohomology of groups. Zbl 1440.20017
Pirashvili, Mariam
2020
A note on a Holstein construction. Zbl 1470.18027
Arkhipov, Sergey; Poliakova, Daria
2020
Koszul duality and the Hochschild cohomology of Artin-Schelter regular algebras. Zbl 1440.14009
Liu, Leilei
2020
Compatible actions in semi-abelian categories. Zbl 1440.18014
di Micco, Davide; Van der Linden, Tim
2020
A simple proof of Curtis’ connectivity theorem for Lie powers. Zbl 1439.55015
Ivanov, Sergei O.; Romanovskii, Vladislav; Semenov, Andrei
2020
Braided categorical groups and strictifying associators. Zbl 1440.18034
Braunling, Oliver
2020
(Co)homology self-closeness numbers of simply-connected spaces. Zbl 1457.55005
Li, Pengcheng
2020
A simplicial construction for noncommutative settings. Zbl 1465.16007
Carolus, Samuel; Laubacher, Jacob; Staic, Mihai D.
2020
Vector bundles and cohomotopies of spin 5-manifolds. Zbl 07283636
Konstantis, Panagiotis
2020
The local hyperbolicity of $$\mathbf{A}_n^2$$-complexes. Zbl 1454.55005
Zhu, Zhongjian; Pan, Jianzhong
2020
Topological complexity of a map. Zbl 1426.55004
Pavešić, Petar
2019
The $$3 \times 3$$ lemma in the $$\Sigma$$-Mal’tsev and $$\Sigma$$-protomodular settings: applications to monoids and quandles. Zbl 1423.18055
Bourn, Dominique; Montoli, Andrea
2019
Erratum to “Jacobi-Zariski exact sequence for Hochschild homology and cyclic (co)homology”. Zbl 1432.19002
Kaygun, Atabey
2019
Homotopy Cartesian diagrams in $$n$$-angulated categories. Zbl 1423.18037
Lin, Zengqiang; Zheng, Yan
2019
On the homology of Lie algebras like $$\mathfrak{gl}(\infty, R)$$. Zbl 1440.17014
Bräunling, Oliver
2019
Injective and projective model structures on enriched diagram categories. Zbl 1425.18003
Moser, Lyne
2019
Support varieties for Hecke algebras. Zbl 1480.20037
Nakano, Daniel K.; Xiang, Ziqing
2019
The persistent homotopy type distance. Zbl 07114172
Frosini, Patrizio; Landi, Claudia; Mémoli, Facundo
2019
Spin structures of flat manifolds of diagonal type. Zbl 1427.53059
Lutowski, Rafał; Petrosyan, Nansen; Popko, Jerzy; Szczepański, Andrzej
2019
The Adams-Hilton model and the group of self-homotopy equivalences of a simply connected CW-complex. Zbl 1427.55007
Benkhalifa, Mahmoud
2019
On constructing weight structures and extending them to idempotent completions. Zbl 1394.14006
Bondarko, Mikhail V.; Sosnilo, Vladimir A.
2018
Homotopy theory of symmetric powers. Zbl 1390.18023
Pavlov, Dmitri; Scholbach, Jakob
2018
Using torsion theory to compute the algebraic structure of Hochschild (co)homology. Zbl 1418.16006
Herscovich, Estanislao
2018
On the path homology theory of digraphs and Eilenberg-Steenrod axioms. Zbl 1391.05125
Grigor&rsquo;yan, Alexander; Jimenez, Rolando; Muranov, Yuri; Yau, Shing-Tung
2018
Intersecting the dimension and slice filtrations for motives. Zbl 1394.14005
Bondarko, Mikhail V.
2018
Golodness and polyhedral products of simplicial complexes with minimal Taylor resolutions. Zbl 1391.13043
Iriye, Kouyemon; Kishimoto, Daisuke
2018
On factorizations of graphical maps. Zbl 1395.18010
Hackney, Philip; Robertson, Marcy; Yau, Donald
2018
Self-maps of spaces in fibrations. Zbl 1400.55004
2018
Samelson products in quasi-$$p$$-regular exceptional Lie groups. Zbl 1386.55017
Hasui, Sho; Kishimoto, Daisuke; Miyauchi, Toshiyuki; Ohsita, Akihiro
2018
Third cohomology and fusion categories. Zbl 1391.18004
Davydov, Alexei; Simmons, Darren A.
2018
A comparison of two models of orbispaces. Zbl 1396.55013
Körschgen, Alexander
2018
An algebraic model for rational naïve-commutative $$G$$-equivariant ring spectra for finite $$G$$. Zbl 1406.55001
Barnes, David; Greenlees, J. P. C.; Kȩdziorek, Magdalena
2018
Convolution algebras and the deformation theory of infinity-morphisms. Zbl 1402.18010
Robert-Nicoud, Daniel; Wierstra, Felix
2018
Twisted homological stability for configuration spaces. Zbl 1408.55011
Palmer, Martin
2018
Coalgebras in symmetric monoidal categories of spectra. Zbl 1433.16040
Péroux, Maximilien; Shipley, Brooke
2018
Manifold calculus adapted for simplicial complexes. Zbl 1404.57050
Tillmann, Steffen
2018
Enriched model categories in equivariant contexts. Zbl 1409.55011
Guillou, Bertrand; May, J. P.; Rubin, Jonathan
2018
Mayer-Vietoris sequences and equivariant $$K$$-theory rings of toric varieties. Zbl 1405.19003
Holm, Tara S.; Williams, Gareth
2018
$$L$$-homology on ball complexes and products. Zbl 06908500
2018
A Seifert-van Kampen theorem in non-abelian algebra. Zbl 1396.18013
Duckerts-Antoine, Mathieu; Van der Linden, Tim
2018
The algebraic and topological $$K$$-theory of the Hilbert modular group. Zbl 1400.19002
Sánchez Saldaña, Luis Jorge; Velásquez, Mario
2018
The homotopy types of $$U(n)$$-gauge groups over $$S^4$$ and $$\mathbb{C}P^2$$. Zbl 1387.55013
Cutler, Tyrone
2018
On the Borel transgression in the fibration $$G \rightarrow G/T$$. Zbl 1386.57036
Duan, Haibao
2018
Relative homological algebra and Waldhausen $$K$$-theory. Zbl 1404.18026
Salch, Andrew
2018
A homotopy decomposition of the fibre of the squaring map on $$\Omega^3 S^{17}$$. Zbl 1386.55008
Amelotte, Steven
2018
$$E_{\infty}$$ obstruction theory. Zbl 1401.18026
Robinson, Alan
2018
Perfect discrete Morse functions on connected sums. Zbl 1385.37057
Varli, Hanıfe; Pamuk, Mehmetcık; Mramor Kosta, Neža
2018
Cyclic vs mixed homology. Zbl 1436.19007
2018
Tensoring with the Frobenius endomorphism. Zbl 1393.13009
Celikbas, Olgur; Sadeghi, Arash; Yao, Yongwei
2018
Small presentations of model categories and Vopěnka’s principle. Zbl 1388.18004
Raptis, G.; Rosický, J.
2018
First Hochschild cohomology group and stable equivalence classification of Morita type of some tame symmetric algebras. Zbl 1433.16006
Taillefer, Rachel
2018
Higher homotopy commutativity in localized Lie groups and gauge groups. Zbl 1409.55005
Hasui, Sho; Kishimoto, Daisuke; Tsutaya, Mitsunobu
2018
Higher-twisted periodic smooth Deligne cohomology. Zbl 1428.14033
2018
Integral cohomology of configuration spaces of the sphere. Zbl 1404.55018
Schiessl, Christoph
2018
Generalized Gottlieb and Whitehead center groups of space forms. Zbl 1406.55005
Golasiński, Marek; de Melo, Thiago
2018
A canonical lift of Frobenius in Morava $$E$$-theory. Zbl 1417.55008
Stapleton, Nathaniel
2018
Categorifying the magnitude of a graph. Zbl 1377.05088
Hepworth, Richard; Willerton, Simon
2017
Braided systems: a unified treatment of algebraic structures with several operations. Zbl 1390.16029
Lebed, Victoria
2017
Box complexes and homotopy theory of graphs. Zbl 1400.55010
Matsushita, Takahiro
2017
Univalence for inverse EI diagrams. Zbl 1425.18005
Shulman, Michael
2017
Tate objects in stable $$(\infty, 1)$$-categories. Zbl 1390.18029
Hennion, Benjamin
2017
Rational $$O(2)$$-equivariant spectra. Zbl 1388.55006
Barnes, David
2017
An algebraic model for rational $$G$$-spectra over an exceptional subgroup. Zbl 1381.55006
Kędziorek, Magdalena
2017
Explicit homotopy limits of $$\mathrm{dg}$$-categories and twisted complexes. Zbl 1408.14065
Block, Jonathan; Holstein, Julian; Wei, Zhaoting
2017
Peiffer product and Peiffer commutator for internal pre-crossed modules. Zbl 1388.18001
Cigoli, Alan S.; Mantovani, Sandra; Metere, Giuseppe
2017
Čech complexes for covers of small categories. Zbl 1397.18031
Tanaka, Kohei
2017
Extending homotopy theories across adjunctions. Zbl 1410.55015
Gurski, Nick; Johnson, Niles; Osorno, Angélica M.
2017
The slices of $$S^n \wedge H \underline{\mathbb{Z}}$$ for cyclic $$p$$-groups. Zbl 1394.55007
Yarnall, Carolyn
2017
Relative Tate objects and boundary maps in the $$K$$-theory of coherent sheaves. Zbl 1396.19001
Braunling, Oliver; Groechenig, Michael; Wolfson, Jesse
2017
The Mayer-Vietoris sequence for graphs of groups, property (T), and the first $$\ell^2$$-Betti number. Zbl 1433.20006
Fernós, Talia; Valette, Alain
2017
Bikei homology. Zbl 1387.57014
Nelson, Sam; Rosenfield, Jake
2017
Postnikov decomposition and the group of self-equivalences of a rationalized space. Zbl 1380.55005
Benkhalifa, Mahmoud
2017
(Co)homology of poset Lie algebras. Zbl 1433.17026
Lampret, Leon; Vavpetič, Aleš
2017
On the dimension of classifying spaces for families of abelian subgroups. Zbl 1388.18028
Corob Cook, Ged; Moreno, Victor; Nucinkis, Brita; Pasini, Federico W.
2017
A note on thick subcategories and wide subcategories. Zbl 1388.18015
Zhang, Chao; Cai, Hongyan
2017
Persistence of zero sets. Zbl 1386.55002
Franek, Peter; Krčál, Marek
2017
A looping-delooping adjunction for topological spaces. Zbl 1383.55006
Rovelli, Martina
2017
Equivariant maps related to the topological Tverberg conjecture. Zbl 1382.55009
Basu, Samik; Ghosh, Surojit
2017
...and 434 more Documents
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### Cited by 2,344 Authors

 17 Gran, Marino 17 Nelson, Sam 16 Liu, Zhong-kui 14 Bondarko, Mikhail Vladimirovich 14 Schreiber, Urs 13 Félix, Yves 13 Østvær, Paul Arne 12 Lazarev, Andrey 12 Sheng, Yunhe 11 Garkusha, Grigory 11 Gillespie, James 11 Herzog, Jürgen 11 Khmaladze, Emzar 11 Kishimoto, Daisuke 11 Martins, João Nuno Goncalves Faria 11 Mathew, Akhil 10 Bubenik, Peter 10 Gutiérrez, Javier J. 10 Ladra González, Manuel 10 Martins-Ferreira, Nelson 10 Sämann, Christian 10 Sati, Hisham 10 Tabuada, Gonçalo 9 Barthel, Tobias 9 Blanc, David Abraham 9 Casas Miras, José Manuel 9 Gaucher, Philippe 9 Goubault, Eric 9 Hess, Kathryn P. 9 Leites, Dimitry A. 9 Levine, Marc Noel 9 Muranov, Yuriĭ Vladimirovich 9 Real, Pedro 9 Rosický, Jiří 9 Thomas, Jean-Claude 9 Yamaguchi, Toshihiro 8 Balmer, Paul 8 Cegarra, Antonio Martínez 8 Greenlees, John P. C. 8 Hill, Michael A. 8 Lawson, Tyler Douglas 8 Meier, Lennart 8 Panin, Ivan A. 8 Rodelo, Diana 8 Roitzheim, Constanze Susanne Ruth 8 Seidel, Paul 8 Shipley, Brooke E. 8 Šťovíček, Jan 8 Wang, Zhanping 8 Yang, Gang 7 Abouzaid, Mohammed 7 Ara, Dimitri 7 Baker, Andrew J. 7 Berglund, Alexander 7 Bouarroudj, Sofiane 7 Bräunling, Oliver 7 Edelsbrunner, Herbert 7 Farber, Michael S. 7 García-Martínez, Xabier 7 Haugseng, Rune 7 Herscovich, Estanislao 7 Iacob, Alina C. 7 Montoli, Andrea 7 Owada, Takashi 7 Petrović, Zoran Z. 7 Prvulović, Branislav I. 7 Randal-Williams, Oscar 7 Schlank, Tomer M. 7 Spitzweck, Markus 7 Tanré, Daniel 7 Theriault, Stephen D. 7 van der Linden, Tim 7 Wickelgren, Kirsten G. 7 Zhu, Chenchang 6 Barnes, David 6 Benkhalifa, Mahmoud 6 Bergh, Petter Andreas 6 Bobrowski, Omer 6 Chuang, Joseph 6 Davis, Daniel G. 6 Déglise, Frédéric 6 Dell’Ambrogio, Ivo 6 Dugger, Daniel 6 Everaert, Tomas 6 Friedman, Greg 6 Grigor’yan, Alexander Asaturovich 6 Harpaz, Yonatan 6 Jardine, John Frederick 6 Kahl, Thomas 6 Krčál, Marek 6 Kupers, Alexander 6 Lebed, Victoria 6 Lipshitz, Robert 6 Lu, Di-Ming 6 Lupton, Gregory M. 6 Manchon, Dominique 6 Markl, Martin 6 Ozsváth, Peter Steven 6 Park, Hanchul 6 Pérez, Marco A. ...and 2,244 more Authors
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### Cited in 315 Journals

 171 Advances in Mathematics 159 Journal of Pure and Applied Algebra 126 Journal of Algebra 89 Algebraic & Geometric Topology 82 Topology and its Applications 67 Applied Categorical Structures 61 Journal of Homotopy and Related Structures 53 Transactions of the American Mathematical Society 49 Proceedings of the American Mathematical Society 47 Communications in Algebra 41 Theory and Applications of Categories 39 Mathematische Zeitschrift 35 Geometry & Topology 33 Journal of Algebra and its Applications 28 Selecta Mathematica. New Series 25 Compositio Mathematica 25 Journal of $$K$$-Theory 24 Journal of Knot Theory and its Ramifications 23 Journal of Applied and Computational Topology 22 Journal of Geometry and Physics 22 Discrete & Computational Geometry 22 Journal of Noncommutative Geometry 20 Communications in Mathematical Physics 20 Glasgow Mathematical Journal 19 Documenta Mathematica 18 Inventiones Mathematicae 18 Manuscripta Mathematica 18 Mathematische Annalen 18 Forum Mathematicum 17 Higher Structures 15 Journal of Mathematical Sciences (New York) 14 Mathematical Proceedings of the Cambridge Philosophical Society 14 International Journal of Mathematics 13 Israel Journal of Mathematics 13 Journal of Mathematical Physics 13 Journal of the American Mathematical Society 13 Differential Geometry and its Applications 12 Letters in Mathematical Physics 12 Memoirs of the American Mathematical Society 12 Foundations of Computational Mathematics 12 Journal of the Institute of Mathematics of Jussieu 11 Journal of Symbolic Computation 11 Algebras and Representation Theory 11 Communications in Contemporary Mathematics 11 Journal of Topology 10 Journal of High Energy Physics 10 Comptes Rendus. Mathématique. Académie des Sciences, Paris 9 Duke Mathematical Journal 9 Osaka Journal of Mathematics 9 Theoretical Computer Science 9 Journal of Algebraic Combinatorics 9 St. Petersburg Mathematical Journal 9 Mediterranean Journal of Mathematics 8 International Journal of Mathematics and Mathematical Sciences 8 Journal of Combinatorial Theory. Series A 8 Proceedings of the Edinburgh Mathematical Society. Series II 8 International Journal of Algebra and Computation 8 Georgian Mathematical Journal 8 Boletín de la Sociedad Matemática Mexicana. Third Series 8 Annals of Mathematics. Second Series 8 Hacettepe Journal of Mathematics and Statistics 8 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 8 European Journal of Mathematics 7 Mathematical Notes 7 Archiv der Mathematik 7 Bulletin of the Korean Mathematical Society 7 Bulletin of the Iranian Mathematical Society 7 Journal of the European Mathematical Society (JEMS) 7 Journal of Topology and Analysis 6 Rocky Mountain Journal of Mathematics 6 Collectanea Mathematica 6 Publications Mathématiques 6 Journal of the Mathematical Society of Japan 6 Semigroup Forum 6 MSCS. Mathematical Structures in Computer Science 6 Expositiones Mathematicae 6 The New York Journal of Mathematics 6 Forum of Mathematics, Sigma 6 Categories and General Algebraic Structures with Applications 6 SIAM Journal on Applied Algebra and Geometry 5 Reviews in Mathematical Physics 5 Geometriae Dedicata 5 Advances in Applied Mathematics 5 Chinese Annals of Mathematics. Series B 5 Stochastic Processes and their Applications 5 Bulletin of the American Mathematical Society. New Series 5 Applicable Algebra in Engineering, Communication and Computing 5 Journal of Lie Theory 5 Transformation Groups 5 Journal of the Australian Mathematical Society 5 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 5 International Journal of Geometric Methods in Modern Physics 5 Proceedings of the Steklov Institute of Mathematics 5 Frontiers of Mathematics in China 5 Annals of $$K$$-Theory 4 Advances in Applied Probability 4 Acta Mathematica Vietnamica 4 Annales de l’Institut Fourier 4 Bulletin of the London Mathematical Society 4 Journal of the Korean Mathematical Society ...and 215 more Journals
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### Cited in 53 Fields

 978 Algebraic topology (55-XX) 896 Category theory; homological algebra (18-XX) 406 Algebraic geometry (14-XX) 398 Associative rings and algebras (16-XX) 336 Manifolds and cell complexes (57-XX) 220 Commutative algebra (13-XX) 218 Group theory and generalizations (20-XX) 204 Nonassociative rings and algebras (17-XX) 198 $$K$$-theory (19-XX) 184 Differential geometry (53-XX) 144 Combinatorics (05-XX) 113 Computer science (68-XX) 84 Quantum theory (81-XX) 83 Global analysis, analysis on manifolds (58-XX) 69 Number theory (11-XX) 55 Topological groups, Lie groups (22-XX) 45 Functional analysis (46-XX) 43 General topology (54-XX) 43 Probability theory and stochastic processes (60-XX) 40 Several complex variables and analytic spaces (32-XX) 40 Convex and discrete geometry (52-XX) 33 Statistics (62-XX) 31 Order, lattices, ordered algebraic structures (06-XX) 29 General algebraic systems (08-XX) 28 Mathematical logic and foundations (03-XX) 23 Mechanics of particles and systems (70-XX) 21 Dynamical systems and ergodic theory (37-XX) 15 Relativity and gravitational theory (83-XX) 15 Biology and other natural sciences (92-XX) 14 Linear and multilinear algebra; matrix theory (15-XX) 12 Partial differential equations (35-XX) 12 Numerical analysis (65-XX) 10 History and biography (01-XX) 9 Operator theory (47-XX) 9 Geometry (51-XX) 9 Information and communication theory, circuits (94-XX) 6 Field theory and polynomials (12-XX) 6 Measure and integration (28-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Difference and functional equations (39-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 General and overarching topics; collections (00-XX) 3 Real functions (26-XX) 3 Ordinary differential equations (34-XX) 3 Operations research, mathematical programming (90-XX) 3 Systems theory; control (93-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Abstract harmonic analysis (43-XX) 1 Optics, electromagnetic theory (78-XX)