Edit Profile (opens in new tab) Shvedov, Igor A. Co-Author Distance Author ID: shvedov.igor-a Published as: Shvedov, I. A.; Shvedov, I.; Shvedov, Igor A. more...less Documents Indexed: 62 Publications since 1958 Co-Authors: 4 Co-Authors with 54 Joint Publications 66 Co-Co-Authors Co-Authors 8 single-authored 53 Kuz’minov, Vladimir I. 23 Gol’dshtejn, Vladimir M. 1 Gol’dshtein, Vladimir Mikhailovich 1 Storozhuk, Konstantin Valer’evich all top 5 Serials 27 Siberian Mathematical Journal 14 Sibirskiĭ Matematicheskiĭ Zhurnal 4 Soviet Mathematics. Doklady 2 Doklady Akademii Nauk SSSR 2 Siberian Advances in Mathematics 1 Russian Mathematical Surveys 1 Uspekhi Matematicheskikh Nauk [N. S.] 1 Algebra and Logic 1 Algebra i Logika 1 Transactions of the Moscow Mathematical Society 1 Questions and Answers in General Topology 1 Proceedings of A. Razmadze Mathematical Institute all top 5 Fields 37 Global analysis, analysis on manifolds (58-XX) 18 Algebraic topology (55-XX) 14 Functional analysis (46-XX) 14 Differential geometry (53-XX) 7 Manifolds and cell complexes (57-XX) 5 General topology (54-XX) 4 Category theory; homological algebra (18-XX) 4 Group theory and generalizations (20-XX) 3 Operator theory (47-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 Partial differential equations (35-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 26 Publications have been cited 86 times in 49 Documents Cited by ▼ Year ▼ Differential forms on Lipschitz manifolds. Zbl 0522.58001 Gol’dshtejn, V. M.; Kuz’minov, V. I.; Shvedov, I. A. 14 1982 Dual spaces of spaces of differential forms. Zbl 0654.46040 Gol’dshtejn, V. M.; Kuz’minov, V. I.; Shvedov, I. A. 11 1986 A property of de Rham regularization operators. Zbl 0602.58002 Gol’dshtejn, V. M.; Kuz’minov, V. I.; Shvedov, I. A. 7 1984 De Rham isomorphism of the \(L_ p\)-cohomology of noncompact Riemannian manifolds. Zbl 0668.58051 Gol’dshtejn, V. M.; Kuz’minov, V. I.; Shvedov, I. A. 6 1988 Reduced \(L_ p\)-cohomology of warped cylinders. Zbl 0722.53034 Gol’dshtejn, V. M.; Kuz’minov, V. I.; Shvedov, I. A. 6 1990 Integration of differential forms of the classes W*(p,q). Zbl 0522.58002 Gol’dshtejn, V. M.; Kuz’minov, V. I.; Shvedov, I. A. 5 1982 On normal solvability of the operator of exterior derivation of warped products. Zbl 0893.58004 Kuz’minov, V. I.; Shvedov, I. A. 4 1996 L\({}_ p\)-cohomology of warped cylinders. Zbl 0732.53029 Gol’dshtejn, V. M.; Kuz’minov, V. I.; Shvedov, I. A. 4 1990 On normal solvability of the exterior differentiation on a warped cylinder. Zbl 0844.58003 Kuz’minov, V. I.; Shvedov, I. A. 3 1993 Hyperhomology of limits of direct spectra of complexes and homology groups of topological spaces. Zbl 0319.55013 Kuz’minov, V. I.; Shvedov, I. A. 3 1975 On orthogonal direct sum decomposition of de Rham complexes for warped products of Riemannian manifolds. Zbl 0944.58001 Kuz’minov, V. I.; Shvedov, I. A. 2 1998 The integral representation of the integral of a differential form. Zbl 0583.58002 Gol’dshtejn, V. M.; Kuz’minov, V. I.; Shvedov, I. A. 2 1985 Über die Vervollständigung abelscher Gruppen in der P-Topologie. Zbl 0256.20070 Kuz’minov, V. I.; Shvedov, I. A. 2 1970 On some property of the regularization operator of de Rham. Zbl 0546.58002 Gol’dshtejn, V. M.; Kuz’minov, V. I.; Shvedov, I. A. 2 1984 Normal and compact solvability of linear operators. Zbl 0706.47005 Gol’dshtejn, V. M.; Kuz’minov, V. I.; Shvedov, I. A. 2 1989 De Rham isomorphism of \(L_ p\)-cohomologies of noncompact Riemannian varieties. Zbl 0653.58037 Gol’dshtejn, V. M.; Kuz’minov, V. I.; Shvedov, I. A. 2 1988 \(L_ p\)-cohomology on Riemannian manifolds. Zbl 0654.58030 Gol’dshtejn, V. M.; Kuz’minov, V. I.; Shvedov, I. A. 2 1987 On Cheeger’s theorem: Extensions to \(L_ p\)-cohomology of warped cylinders. Zbl 0848.53026 Gol’dshtein, V. M.; Kuz’minov, V. I.; Shvedov, I. A. 1 1992 On compact solvability of the operator of exterior derivation. Zbl 0870.58003 Kuz’minov, V. I.; Shvedov, I. A. 1 1997 Homological aspects of the theory of Banach complexes. Zbl 0939.58001 Kuz’minov, V. I.; Shvedov, I. A. 1 1998 On compactly-supported approximation of closed differential forms on Riemannian manifolds of special type. Zbl 0812.46022 Kuz’minov, V. I.; Shvedov, I. A. 1 1993 On the completion of abelian groups in the P-topology. Zbl 0258.20055 Kuz’minov, V. I.; Shvedov, I. A. 1 1971 Projection spectra and the completeness of topological spaces. Zbl 0087.37502 Shvedov, I. A. 1 1959 Normal and compact solvability of the exterior differentiation operator under homogeneous boundary conditions. Zbl 0649.58035 Gol’dshtejn, V. M.; Kuz’minov, V. I.; Shvedov, I. A. 1 1987 Wolfe’s theorem for differential forms of classes \(W^*_{p,q}\). Zbl 0547.58003 Gol’dshtejn, V. M.; Kuz’minov, V. I.; Shvedov, I. A. 1 1983 On the operator of exterior derivation on the Riemannian manifolds with cylindrical ends. Zbl 1164.58305 Kuz’minov, V. I.; Shvedov, I. A. 1 2007 On the operator of exterior derivation on the Riemannian manifolds with cylindrical ends. Zbl 1164.58305 Kuz’minov, V. I.; Shvedov, I. A. 1 2007 On orthogonal direct sum decomposition of de Rham complexes for warped products of Riemannian manifolds. Zbl 0944.58001 Kuz’minov, V. I.; Shvedov, I. A. 2 1998 Homological aspects of the theory of Banach complexes. Zbl 0939.58001 Kuz’minov, V. I.; Shvedov, I. A. 1 1998 On compact solvability of the operator of exterior derivation. Zbl 0870.58003 Kuz’minov, V. I.; Shvedov, I. A. 1 1997 On normal solvability of the operator of exterior derivation of warped products. Zbl 0893.58004 Kuz’minov, V. I.; Shvedov, I. A. 4 1996 On normal solvability of the exterior differentiation on a warped cylinder. Zbl 0844.58003 Kuz’minov, V. I.; Shvedov, I. A. 3 1993 On compactly-supported approximation of closed differential forms on Riemannian manifolds of special type. Zbl 0812.46022 Kuz’minov, V. I.; Shvedov, I. A. 1 1993 On Cheeger’s theorem: Extensions to \(L_ p\)-cohomology of warped cylinders. Zbl 0848.53026 Gol’dshtein, V. M.; Kuz’minov, V. I.; Shvedov, I. A. 1 1992 Reduced \(L_ p\)-cohomology of warped cylinders. Zbl 0722.53034 Gol’dshtejn, V. M.; Kuz’minov, V. I.; Shvedov, I. A. 6 1990 L\({}_ p\)-cohomology of warped cylinders. Zbl 0732.53029 Gol’dshtejn, V. M.; Kuz’minov, V. I.; Shvedov, I. A. 4 1990 Normal and compact solvability of linear operators. Zbl 0706.47005 Gol’dshtejn, V. M.; Kuz’minov, V. I.; Shvedov, I. A. 2 1989 De Rham isomorphism of the \(L_ p\)-cohomology of noncompact Riemannian manifolds. Zbl 0668.58051 Gol’dshtejn, V. M.; Kuz’minov, V. I.; Shvedov, I. A. 6 1988 De Rham isomorphism of \(L_ p\)-cohomologies of noncompact Riemannian varieties. Zbl 0653.58037 Gol’dshtejn, V. M.; Kuz’minov, V. I.; Shvedov, I. A. 2 1988 \(L_ p\)-cohomology on Riemannian manifolds. Zbl 0654.58030 Gol’dshtejn, V. M.; Kuz’minov, V. I.; Shvedov, I. A. 2 1987 Normal and compact solvability of the exterior differentiation operator under homogeneous boundary conditions. Zbl 0649.58035 Gol’dshtejn, V. M.; Kuz’minov, V. I.; Shvedov, I. A. 1 1987 Dual spaces of spaces of differential forms. Zbl 0654.46040 Gol’dshtejn, V. M.; Kuz’minov, V. I.; Shvedov, I. A. 11 1986 The integral representation of the integral of a differential form. Zbl 0583.58002 Gol’dshtejn, V. M.; Kuz’minov, V. I.; Shvedov, I. A. 2 1985 A property of de Rham regularization operators. Zbl 0602.58002 Gol’dshtejn, V. M.; Kuz’minov, V. I.; Shvedov, I. A. 7 1984 On some property of the regularization operator of de Rham. Zbl 0546.58002 Gol’dshtejn, V. M.; Kuz’minov, V. I.; Shvedov, I. A. 2 1984 Wolfe’s theorem for differential forms of classes \(W^*_{p,q}\). Zbl 0547.58003 Gol’dshtejn, V. M.; Kuz’minov, V. I.; Shvedov, I. A. 1 1983 Differential forms on Lipschitz manifolds. Zbl 0522.58001 Gol’dshtejn, V. M.; Kuz’minov, V. I.; Shvedov, I. A. 14 1982 Integration of differential forms of the classes W*(p,q). Zbl 0522.58002 Gol’dshtejn, V. M.; Kuz’minov, V. I.; Shvedov, I. A. 5 1982 Hyperhomology of limits of direct spectra of complexes and homology groups of topological spaces. Zbl 0319.55013 Kuz’minov, V. I.; Shvedov, I. A. 3 1975 On the completion of abelian groups in the P-topology. Zbl 0258.20055 Kuz’minov, V. I.; Shvedov, I. A. 1 1971 Über die Vervollständigung abelscher Gruppen in der P-Topologie. Zbl 0256.20070 Kuz’minov, V. I.; Shvedov, I. A. 2 1970 Projection spectra and the completeness of topological spaces. Zbl 0087.37502 Shvedov, I. A. 1 1959 all cited Publications top 5 cited Publications all top 5 Cited by 46 Authors 9 Gol’dshtein, Vladimir Mikhailovich 7 Kopylov, Yaroslav Anatol’evich 4 Troyanov, Marc 3 Vdovin, V. V. 2 Fu, Yongqiang 2 Guo, Lifeng 2 Perez, Joe J. 2 Pfeffer, Washek Frank 2 Sequeira, Emiliano 2 Stollmann, Peter 1 Baldi, Annalisa 1 Benameur, Moulay-Tahar 1 Berdnikov, Aleksandr 1 De Pauw, Thierry 1 Eichhorn, Jürgen 1 Franchi, Bruno 1 Gagelgans, Kseniya Vladimirovna 1 Gawlik, Evan S. 1 Hardt, Robert M. 1 Heitsch, James L. 1 Holst, Michael J. 1 Ivanov, Aleksandr Aleksandrovich 1 Joksimović, Dušan 1 Krishnan, Sanjeevi 1 Kryuchkov, Nikolaĭ Ivanovich 1 Kuz’minov, Vladimir I. 1 Li, Xiang-Dong 1 Licht, Martin Werner 1 Lisitsa, Yurij T. 1 Manin, Fedor 1 Mishina, Anna Petrovna 1 Nikolaev, Igor Georgievich 1 Ogle, Crichton 1 Ostrovskii, Mikhail Iosifovich 1 Panenko, Roman Anatol’evich 1 Pansu, Pierre 1 Rajala, Kai 1 Rigoni, Chiara 1 Shvedov, Igor A. 1 Sklyarenko, E. G. 1 Tessera, Romain 1 Ukhlov, Alexander Dadar-Oolovich 1 Valette, Guillaume 1 Weaver, Nik 1 Wenger, Stefan 1 Yeganefar, Nader all top 5 Cited in 31 Serials 5 Journal of Soviet Mathematics 5 Siberian Mathematical Journal 4 Journal of Mathematical Sciences (New York) 3 Journal of Functional Analysis 2 Manuscripta Mathematica 2 Annales Mathématiques Blaise Pascal 2 Sibirskie Èlektronnye Matematicheskie Izvestiya 2 Complex Variables and Elliptic Equations 1 Communications in Algebra 1 Journal of Mathematical Analysis and Applications 1 Annales de l’Institut Fourier 1 Duke Mathematical Journal 1 Inventiones Mathematicae 1 Journal of Pure and Applied Algebra 1 Mathematische Annalen 1 Memoirs of the American Mathematical Society 1 Rendiconti del Seminario Matematico della Università di Padova 1 Topology and its Applications 1 Annals of Global Analysis and Geometry 1 International Journal of Mathematics 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Stochastic Processes and their Applications 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Abstract and Applied Analysis 1 Journal of the Institute of Mathematics of Jussieu 1 Journal of Function Spaces and Applications 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Journal of \(K\)-Theory 1 Problemy Analiza. Issues of Analysis 1 Transactions of A. Razmadze Mathematical Institute 1 Annales Fennici Mathematici all top 5 Cited in 21 Fields 22 Global analysis, analysis on manifolds (58-XX) 18 Functional analysis (46-XX) 15 Differential geometry (53-XX) 11 Algebraic topology (55-XX) 7 Manifolds and cell complexes (57-XX) 6 Operator theory (47-XX) 5 Group theory and generalizations (20-XX) 5 Partial differential equations (35-XX) 5 Geometry (51-XX) 3 Topological groups, Lie groups (22-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Abstract harmonic analysis (43-XX) 2 Algebraic geometry (14-XX) 2 Category theory; homological algebra (18-XX) 2 Functions of a complex variable (30-XX) 2 General topology (54-XX) 1 Mathematical logic and foundations (03-XX) 1 \(K\)-theory (19-XX) 1 Real functions (26-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Numerical analysis (65-XX) Citations by Year