Edit Profile (opens in new tab) Kadeishvili, Tornike V. Co-Author Distance Author ID: kadeishvili.tornike Published as: Kadeishvili, T.; Kadeishvili, T. V.; Kadeishvili, Tornike more...less Homepage: http://www.rmi.ge/~kade/ External Links: MGP · Google Scholar · ResearchGate · Math-Net.Ru Documents Indexed: 43 Publications since 1976, including 1 Book and 2 Additional arXiv Preprints Reviewing Activity: 9 Reviews Co-Authors: 8 Co-Authors with 12 Joint Publications 72 Co-Co-Authors all top 5 Co-Authors 31 single-authored 8 Saneblidze, Samson 2 Berikashvili, Nodar 2 Khazhomia, S. 2 Makalatia, D. 2 Mikiashvili, M. V. 1 Huebschmann, Johannes 1 Lada, Tom 1 Real, Pedro all top 5 Serials 7 Proceedings of A. Razmadze Mathematical Institute 6 Journal of Mathematical Sciences (New York) 5 Georgian Mathematical Journal 5 Bulletin of the Georgian Academy of Sciences 4 Soobshcheniya Akademii Nauk Gruzinskoĭ SSR 2 Russian Mathematical Surveys 2 Transactions of A. Razmadze Mathematical Institute 1 Uspekhi Matematicheskikh Nauk [N. S.] 1 Journal of Pure and Applied Algebra 1 Mathematische Zeitschrift 1 Homology, Homotopy and Applications all top 5 Fields 36 Algebraic topology (55-XX) 16 Associative rings and algebras (16-XX) 13 Manifolds and cell complexes (57-XX) 12 Category theory; homological algebra (18-XX) 3 Commutative algebra (13-XX) 2 Combinatorics (05-XX) 2 Field theory and polynomials (12-XX) 1 History and biography (01-XX) 1 Nonassociative rings and algebras (17-XX) 1 \(K\)-theory (19-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 29 Publications have been cited 352 times in 251 Documents Cited by ▼ Year ▼ On the homology theory of fibre spaces. Zbl 0521.55015 Kadeishvili, T. V. 66 1980 Algebraic structure in the homology of an \(A(\infty)\)-algebra. Zbl 0535.55005 Kadeishvili, T. V. 65 1982 Small models for chain algebras. Zbl 0723.57030 Huebschmann, Johannes; Kadeishvili, Tornike 57 1991 Structure of the \(A(\infty)\)-algebra and the Hochschild and Harrison cohomologies. Zbl 0717.55011 Kadeishvili, T. V. 47 1988 Cohomology \(C_{\infty}\)-algebra and rational homotopy type. Zbl 1181.55012 Kadeishvili, Tornike 15 2009 A cubical model for a fibration. Zbl 1069.55011 Kadeishvili, Tornike; Saneblidze, Samson 14 2005 On the cobar construction of a bialgebra. Zbl 1081.55009 Kadeishvili, T. 11 2005 Cochain operations defining Steenrod-\(\smile_i\)-products in the bar construction. Zbl 1056.55007 Kadeishvili, T. 11 2003 Measuring the noncommutativity of \(DG\)-algebras. Zbl 1082.57029 Kadeishvili, T. 10 2004 Twisting elements in homotopy G-algebras. Zbl 1255.16011 Kadeishvili, T. 7 2011 The category of differential coalgebras and category of \(A(\infty)\)-algebras. Zbl 0611.55017 Kadeishvili, T. V. 7 1985 The predifferential of a twisted product. Zbl 0635.55018 Kadeishvili, T. V. 5 1986 The \(A(\infty)\)-algebra structure in cohomology, and rational homotopy type. (Структура \(A(\infty)\)-алгебры в когомологиях и рациональный гомотопический тип.) Zbl 0899.55013 Kadeishvili, T. V. 5 1993 The twisted Cartesian model for the double path fibration. Zbl 1332.55008 Kadeishvili, Tornike; Saneblidze, Samson 4 2015 Homotopy Gerstenhaber algebras: examples and applications. Zbl 1287.16017 Kadeishvili, T. 4 2013 DG Hopf algebras with Steenrod’s \(i\)-th coproducts. Zbl 0946.55011 Kadeishvili, T. 3 1998 A small open-closed homotopy algebra (OCHA). Zbl 1172.18005 Kadeishvili, Tornike; Lada, Tom 3 2009 On the differentials of the spectral sequence of a fibre bundle. (Über die Differentiale der Spektralfolge eines Faserbündels.) Zbl 0329.55013 Kadeishvili, T. V. 3 1976 Twisting elements \(da=a\smile_1a\). Zbl 1272.16012 Kadeishvili, T. 2 2011 Iterating the bar construction. Zbl 0918.55002 Kadeishvili, T.; Saneblidze, S. 2 1998 Predifferential of a fiber bundle. Zbl 0619.55009 Kadeishvili, T. V. 2 1986 Free resolutions for differential modules over differential algebras. Zbl 1328.16001 Kadeishvili, T.; Real, P. 2 2008 Twisted tensor products for the category of \(A(\infty)\)-algebras and \(A(\infty)\)-modules. Zbl 0639.55007 Kadeishvili, T. V. 1 1986 Cohomology operations defining cohomology algebra of the loop space. Zbl 1392.55013 Kadeishvili, Tornike 1 2017 DG Hopf algebras with Steenrod \(i\)-th coproducts. Zbl 0963.55008 Kadeishvili, T. 1 1999 Functor \(D\) for the category of \(A(\infty)\)-algebras. Zbl 0617.55011 Kadeishvili, T. V. 1 1986 On a multiplicative model of a fibration. Zbl 0876.55010 Kadeishvili, T.; Saneblidze, S. 1 1996 \(B_\infty\)-algebra structure in homology of a homotopy Gerstenhaber algebra. Zbl 1375.16008 Kadeishvili, Tornike 1 2016 On cochain operations forming Hirsch algebras. Zbl 1267.18015 Kadeishvili, T. 1 2012 Cohomology operations defining cohomology algebra of the loop space. Zbl 1392.55013 Kadeishvili, Tornike 1 2017 \(B_\infty\)-algebra structure in homology of a homotopy Gerstenhaber algebra. Zbl 1375.16008 Kadeishvili, Tornike 1 2016 The twisted Cartesian model for the double path fibration. Zbl 1332.55008 Kadeishvili, Tornike; Saneblidze, Samson 4 2015 Homotopy Gerstenhaber algebras: examples and applications. Zbl 1287.16017 Kadeishvili, T. 4 2013 On cochain operations forming Hirsch algebras. Zbl 1267.18015 Kadeishvili, T. 1 2012 Twisting elements in homotopy G-algebras. Zbl 1255.16011 Kadeishvili, T. 7 2011 Twisting elements \(da=a\smile_1a\). Zbl 1272.16012 Kadeishvili, T. 2 2011 Cohomology \(C_{\infty}\)-algebra and rational homotopy type. Zbl 1181.55012 Kadeishvili, Tornike 15 2009 A small open-closed homotopy algebra (OCHA). Zbl 1172.18005 Kadeishvili, Tornike; Lada, Tom 3 2009 Free resolutions for differential modules over differential algebras. Zbl 1328.16001 Kadeishvili, T.; Real, P. 2 2008 A cubical model for a fibration. Zbl 1069.55011 Kadeishvili, Tornike; Saneblidze, Samson 14 2005 On the cobar construction of a bialgebra. Zbl 1081.55009 Kadeishvili, T. 11 2005 Measuring the noncommutativity of \(DG\)-algebras. Zbl 1082.57029 Kadeishvili, T. 10 2004 Cochain operations defining Steenrod-\(\smile_i\)-products in the bar construction. Zbl 1056.55007 Kadeishvili, T. 11 2003 DG Hopf algebras with Steenrod \(i\)-th coproducts. Zbl 0963.55008 Kadeishvili, T. 1 1999 DG Hopf algebras with Steenrod’s \(i\)-th coproducts. Zbl 0946.55011 Kadeishvili, T. 3 1998 Iterating the bar construction. Zbl 0918.55002 Kadeishvili, T.; Saneblidze, S. 2 1998 On a multiplicative model of a fibration. Zbl 0876.55010 Kadeishvili, T.; Saneblidze, S. 1 1996 The \(A(\infty)\)-algebra structure in cohomology, and rational homotopy type. (Структура \(A(\infty)\)-алгебры в когомологиях и рациональный гомотопический тип.) Zbl 0899.55013 Kadeishvili, T. V. 5 1993 Small models for chain algebras. Zbl 0723.57030 Huebschmann, Johannes; Kadeishvili, Tornike 57 1991 Structure of the \(A(\infty)\)-algebra and the Hochschild and Harrison cohomologies. Zbl 0717.55011 Kadeishvili, T. V. 47 1988 The predifferential of a twisted product. Zbl 0635.55018 Kadeishvili, T. V. 5 1986 Predifferential of a fiber bundle. Zbl 0619.55009 Kadeishvili, T. V. 2 1986 Twisted tensor products for the category of \(A(\infty)\)-algebras and \(A(\infty)\)-modules. Zbl 0639.55007 Kadeishvili, T. V. 1 1986 Functor \(D\) for the category of \(A(\infty)\)-algebras. Zbl 0617.55011 Kadeishvili, T. V. 1 1986 The category of differential coalgebras and category of \(A(\infty)\)-algebras. Zbl 0611.55017 Kadeishvili, T. V. 7 1985 Algebraic structure in the homology of an \(A(\infty)\)-algebra. Zbl 0535.55005 Kadeishvili, T. V. 65 1982 On the homology theory of fibre spaces. Zbl 0521.55015 Kadeishvili, T. V. 66 1980 On the differentials of the spectral sequence of a fibre bundle. (Über die Differentiale der Spektralfolge eines Faserbündels.) Zbl 0329.55013 Kadeishvili, T. V. 3 1976 all cited Publications top 5 cited Publications all top 5 Cited by 261 Authors 9 Kadeishvili, Tornike V. 9 Lapin, Sergeĭ Valer’evich 8 Saneblidze, Samson 8 Stasheff, James D. 7 Buijs, Urtzi 7 Sharapov, Alexey A. 7 Skvortsov, Evgeny D. 6 Huebschmann, Johannes 6 Kajiura, Hiroshige 6 Murillo-Mas, Aniceto 6 Real, Pedro 6 Sämann, Christian 5 Abouzaid, Mohammed 5 Bandiera, Ruggero 5 Muro, Fernando 5 Rivera, Manuel 4 Belchí, Francisco 4 Markl, Martin 4 Moreno-Fernández, José Manuel 4 Wolf, Martin 4 Xu, Ping 4 Zeinalian, Mahmoud 3 Alvarez, Victor 3 Armario, José ándrés 3 Benson, David John 3 Berciano-Alcaraz, Ainhoa 3 Félix, Yves 3 Frau, María Dolores 3 Guo, Jirui 3 Jurčo, Branislav 3 Lazarev, Andrey 3 Manetti, Marco 3 Medina-Mardones, Anibal M. 3 Seidel, Paul 3 Smith, Ivan 3 Stiénon, Mathieu 3 Umble, Ronald N. 2 Berglund, Alexander 2 Bodzenta, Agnieszka 2 Burban, Igor 2 Carqueville, Nils 2 Chen, Zhuo 2 Closset, Cyril 2 Dolgushev, Vasily A. 2 Dotsenko, Vladimir Viktorovich 2 Evans, Jonathan David 2 Fiorenza, Domenico 2 Franz, Matthias 2 Fresse, Benoit 2 Ginot, Grégory 2 Greenlees, John P. C. 2 Gutiérrez, Javier J. 2 Herscovich, Estanislao 2 Kaufmann, Ralph M. 2 Külshammer, Julian 2 Lada, Tom 2 Ladoshkin, M. V. 2 Lambe, Larry Albert 2 Lekili, Yankı 2 Livernet, Muriel 2 Macrelli, Tommaso 2 Petersen, Dan 2 Polishchuk, Alexander Evgen’evich 2 Quintero Vélez, Alexander 2 Raspollini, Lorenzo 2 Rubió, Marcel 2 Sukhanov, Arseny 2 Van Dongen, Richard 2 Ward, Benjamin C. 2 Wierstra, Felix Pieter 1 Allocca, Michael P. 1 Altman, Irida 1 Amann, Manuel 1 Amiot, Claire 1 Ammar, Mourad 1 Angella, Daniele 1 Arias Abad, Camilo 1 Arvanitakis, Alex S. 1 Aspinwall, Paul S. 1 Auroux, Denis 1 Barannikov, Serguei Aleksandrovich 1 Baranovsky, Vladimir 1 Barnes, Donald W. 1 Batanin, Michael A. 1 Battikh, Naoufel 1 Bautista, Raymundo 1 Bellier-Millès, Joan 1 Bellier, Olivia 1 Berger, Clemens 1 Betley, Stanislaw 1 Bocklandt, Raf 1 Booth, Matthew 1 Borjeson, Kaj 1 Borsten, Leron 1 Braun, Christopher 1 Budur, Nero 1 Buursma, Doeke D. 1 Calvo-Cervera, María 1 Campos, Ricardo 1 Case, Jeffrey S. ...and 161 more Authors all top 5 Cited in 82 Serials 18 Journal of Pure and Applied Algebra 15 Journal of Algebra 12 Journal of Mathematical Sciences (New York) 11 Journal of High Energy Physics 11 Journal of Homotopy and Related Structures 9 Advances in Mathematics 9 Algebraic & Geometric Topology 8 Communications in Algebra 7 Georgian Mathematical Journal 6 Communications in Mathematical Physics 6 Letters in Mathematical Physics 6 Mathematical Notes 6 Transactions of the American Mathematical Society 6 Journal of Noncommutative Geometry 5 Fortschritte der Physik 4 Manuscripta Mathematica 4 Mathematische Zeitschrift 4 Proceedings of the American Mathematical Society 4 Topology and its Applications 4 Transactions of A. Razmadze Mathematical Institute 4 Higher Structures 3 Nuclear Physics. B 3 Mathematische Annalen 3 Forum Mathematicum 3 Applicable Algebra in Engineering, Communication and Computing 3 Selecta Mathematica. New Series 3 Geometry & Topology 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Journal of Mathematical Physics 2 Journal of Geometry and Physics 2 Annales de l’Institut Fourier 2 Compositio Mathematica 2 Duke Mathematical Journal 2 Memoirs of the American Mathematical Society 2 Discrete & Computational Geometry 2 Journal of the American Mathematical Society 2 Geometric and Functional Analysis. GAFA 2 St. Petersburg Mathematical Journal 2 Algebras and Representation Theory 2 Oberwolfach Reports 2 Advanced Studies: Euro-Tbilisi Mathematical Journal 1 Reviews in Mathematical Physics 1 Bulletin of the London Mathematical Society 1 Fundamenta Mathematicae 1 Inventiones Mathematicae 1 Journal of the Mathematical Society of Japan 1 Pacific Journal of Mathematics 1 Rendiconti del Seminario Matematico della Università di Padova 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Journal of Symbolic Computation 1 International Journal of Algebra and Computation 1 Differential Geometry and its Applications 1 International Journal of Computer Mathematics 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Linear Algebra and its Applications 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Bulletin of the American Mathematical Society. New Series 1 Applied Categorical Structures 1 Annales Mathématiques Blaise Pascal 1 Journal of the Egyptian Mathematical Society 1 Journal of Lie Theory 1 Documenta Mathematica 1 Transformation Groups 1 Representation Theory 1 Revista Matemática Complutense 1 Journal of the European Mathematical Society (JEMS) 1 Acta Mathematica Sinica. English Series 1 Journal of Nonlinear Mathematical Physics 1 Journal of the Institute of Mathematics of Jussieu 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Mediterranean Journal of Mathematics 1 Complex Analysis and Operator Theory 1 Frontiers of Mathematics in China 1 Journal of Physics A: Mathematical and Theoretical 1 Algebra & Number Theory 1 Journal of Topology 1 Journal of Geometric Mechanics 1 Quantum Topology 1 Afrika Matematika 1 Communications in Mathematics and Statistics 1 Journal of Combinatorial Algebra 1 Journal of Applied and Computational Topology all top 5 Cited in 30 Fields 120 Algebraic topology (55-XX) 102 Category theory; homological algebra (18-XX) 98 Associative rings and algebras (16-XX) 35 Nonassociative rings and algebras (17-XX) 32 Quantum theory (81-XX) 30 Algebraic geometry (14-XX) 29 Differential geometry (53-XX) 28 Manifolds and cell complexes (57-XX) 16 Global analysis, analysis on manifolds (58-XX) 13 Commutative algebra (13-XX) 11 Relativity and gravitational theory (83-XX) 9 Several complex variables and analytic spaces (32-XX) 8 \(K\)-theory (19-XX) 8 Group theory and generalizations (20-XX) 7 Computer science (68-XX) 7 Mechanics of particles and systems (70-XX) 4 Functional analysis (46-XX) 4 General topology (54-XX) 3 Combinatorics (05-XX) 3 Topological groups, Lie groups (22-XX) 3 Convex and discrete geometry (52-XX) 3 Statistics (62-XX) 2 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 General algebraic systems (08-XX) 1 Field theory and polynomials (12-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Probability theory and stochastic processes (60-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year