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Skopenkov, Arkadiĭ Borisovich

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Author ID: skopenkov.arkadij-b Recent zbMATH articles by "Skopenkov, Arkadiĭ Borisovich"
Published as: Skopenkov, A.; Skopenkov, A. B.; Skopenkov, Arkadiy; Skopenkov, Arkadij B.; Skopenkov, Arkady; Skopenkov, Arkadiy B.; Skopenkov, Arkadiĭ B.; Skopenkov, Arkadi
Homepage: http://www.mccme.ru/~skopenko/
External Links: MGP · ResearchGate · Math-Net.Ru
Documents Indexed: 56 Publications since 1993, including 1 Book
Reviewing Activity: 7 Reviews
Co-Authors: 18 Co-Authors with 35 Joint Publications
502 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

39 Publications have been cited 213 times in 90 Documents Cited by Year
Embedding and knotting of manifolds in Euclidean spaces. Zbl 1154.57019
Skopenkov, Arkadiy B.
24
2008
A classification of smooth embeddings of 3-manifolds in 6-space. Zbl 1167.57013
Skopenkov, Arkadiy
14
2008
A deleted product criterion for approximability of maps by embeddings. Zbl 0934.57024
Repovš, Dušan; Skopenkov, Arkadij B.
12
1998
\(C^ 1\)-homogeneous compacta in \(\mathbb{R}^ n\) are \(C^ 1\)-submanifolds of \(\mathbb{R}^ n\). Zbl 0863.53004
Repovš, Dušan; Skopenkov, Arkadij B.; Ščepin, Evgenij V.
11
1996
Open problems on graphs arising from geometric topology. Zbl 0958.57003
Cavicchioli, Alberto; Repovš, Dušan; Skopenkov, Arkadij B.
11
1998
A new invariant and parametric connected sum of embeddings. Zbl 1145.57019
Skopenkov, A.
10
2007
On the Haefliger-Hirsch-Wu invariants for embeddings and immersions. Zbl 1012.57035
Skopenkov, Arkadi
10
2002
New results on embeddings of polyhedra and manifolds in Euclidean spaces. Zbl 0958.57025
Repovsh, D.; Skopenkov, A.
8
1999
A classification of smooth embeddings of 4-manifolds in 7-space. I. Zbl 1202.57026
Skopenkov, Arkadiy
8
2010
Embeddings of polyhedra in \(\mathbb R^m\) and the deleted product obstruction. Zbl 0934.57025
Segal, Jack; Skopenkov, A.; Spież, S.
7
1998
A classification of 3-thickenings of 2-polyhedra. Zbl 0928.57029
Repovš, Dušan; Brodskij, Nikolaj B.; Skopenkov, Arkadij B.
7
1999
On embeddability of \(X\times I\) into Euclidean space. Zbl 0856.57018
Repovš, Dušan; Skopenkov, Arkadij B.; Shchepin, Evgenij V.
6
1995
A classification of smooth embeddings of four-manifolds in seven-space. II. Zbl 1230.57026
Crowley, Diarmuid; Skopenkov, Arkadiy
6
2011
A User’s guide to the topological Tverberg conjecture. Zbl 1406.52015
Skopenkov, Arkadiĭ B.
6
2018
A description of continua basically embeddable in \(\mathbb{R}^ 2\). Zbl 0853.54032
Skopenkov, A.
5
1995
On uncountable collections of continua and their span. Zbl 0882.54030
Repovš, Dušan; Skopenkov, Arkadij B.; Ščepin, Evgenij
5
1995
Embeddability and isotopy of polyhedra in Euclidean spaces. Zbl 0884.57020
Repovš, D.; Skopenkov, A. B.
5
1996
On the deleted product criterion for embeddability of manifolds in \(\mathbb{R}^m\). Zbl 0905.57015
Skopenkov, A.
5
1997
On the deleted product criterion for embeddability in \(\mathbb{R}^m\). Zbl 0895.57006
Skopenkov, A.
5
1998
Obstructions to approximating maps of \(n\)-manifolds into \(\mathbb{R}^{2n}\) by embeddings. Zbl 1003.57036
Akhmetiev, P. M.; Repovš, D.; Skopenkov, A. B.
5
2002
Embeddings of homology equivalent manifolds with boundary. Zbl 1105.57022
Gonçalves, D.; Skopenkov, A.
5
2006
Eliminating higher-multiplicity intersections. III: Codimension 2. Zbl 1486.57035
Avvakumov, Sergey Ya.; Wagner, Uli; Mabillard, Isaac; Skopenkov, Arkadiy B.
4
2020
Group actions on manifolds and smooth ambient homogeneity. Zbl 0881.54041
Repovš, D.; Skopenkov, A. B.; Ščepin, E. V.
4
1997
Embeddings of \(k\)-connected \(n\)-manifolds into \(\mathbb {R}^{2n-k-1}\). Zbl 1206.57034
Skopenkov, A.
4
2010
On the generalized Massey-Rolfsen invariant for link maps. Zbl 0966.57028
Skopenkov, A.
4
2000
Classification of knotted tori. Zbl 1439.57048
Skopenkov, A.
3
2020
A characterization of \(C^ 1\)-homogeneous subsets of the plane. Zbl 0801.57010
Repovš, Dušan; Skopenkov, A. B.; Ščepin, E. V.
2
1993
Embeddings of non-simply-connected 4-manifolds in 7-space. I: Classification modulo knots. Zbl 1484.57024
Crowley, D.; Skopenkov, A.
2
2021
A characterization of submanifolds by a homogeneity condition. Zbl 1118.57025
Skopenkov, Arkadiy
2
2007
On the Browder-Levine-Novikov embedding theorems. Zbl 1108.57021
Cencelj, M.; Repovš, D.; Skopenkov, A. B.
2
2004
How do autodiffeomorphisms act on embeddings? Zbl 1409.57030
Skopenkov, A.
2
2017
Hardness of almost embedding simplicial complexes in \(\mathbb {R}^d\). Zbl 1415.57016
Skopenkov, Arkadiy; Tancer, Martin
2
2019
Geometric proof of Neuwirth’s theorem on the construction of 3-manifolds from 2-dimensional polyhedra. Zbl 0853.57003
Skopenkov, A. B.
1
1994
On incompleteness of the deleted product obstruction for embeddability. Zbl 1052.57029
Malešič, J.; Repovš, D.; Skopenkov, A.
1
2003
On projected embeddings and desuspending the \(\alpha\)-invariant. Zbl 1015.57019
Repovš, Dušan; Skopenkov, Arkady
1
2002
Embeddability and isotopy of polyhedra in Euclidean spaces. Zbl 0905.57016
Repovš, D.; Skopenkov, A. B.
1
1996
Resolutions of 2-polyhedra by fake surfaces and embeddings into \(\mathbb{R}^4\). Zbl 1004.57002
Onischenko, Alexander; Repovš, Dušan; Skopenkov, Arkady
1
2001
Stability of intersections of graphs in the plane and the van Kampen obstruction. Zbl 1422.57068
Skopenkov, Arkadiy
1
2018
Invariants of graph drawings in the plane. Zbl 1442.05141
Skopenkov, A.
1
2020
Embeddings of non-simply-connected 4-manifolds in 7-space. I: Classification modulo knots. Zbl 1484.57024
Crowley, D.; Skopenkov, A.
2
2021
Eliminating higher-multiplicity intersections. III: Codimension 2. Zbl 1486.57035
Avvakumov, Sergey Ya.; Wagner, Uli; Mabillard, Isaac; Skopenkov, Arkadiy B.
4
2020
Classification of knotted tori. Zbl 1439.57048
Skopenkov, A.
3
2020
Invariants of graph drawings in the plane. Zbl 1442.05141
Skopenkov, A.
1
2020
Hardness of almost embedding simplicial complexes in \(\mathbb {R}^d\). Zbl 1415.57016
Skopenkov, Arkadiy; Tancer, Martin
2
2019
A User’s guide to the topological Tverberg conjecture. Zbl 1406.52015
Skopenkov, Arkadiĭ B.
6
2018
Stability of intersections of graphs in the plane and the van Kampen obstruction. Zbl 1422.57068
Skopenkov, Arkadiy
1
2018
How do autodiffeomorphisms act on embeddings? Zbl 1409.57030
Skopenkov, A.
2
2017
A classification of smooth embeddings of four-manifolds in seven-space. II. Zbl 1230.57026
Crowley, Diarmuid; Skopenkov, Arkadiy
6
2011
A classification of smooth embeddings of 4-manifolds in 7-space. I. Zbl 1202.57026
Skopenkov, Arkadiy
8
2010
Embeddings of \(k\)-connected \(n\)-manifolds into \(\mathbb {R}^{2n-k-1}\). Zbl 1206.57034
Skopenkov, A.
4
2010
Embedding and knotting of manifolds in Euclidean spaces. Zbl 1154.57019
Skopenkov, Arkadiy B.
24
2008
A classification of smooth embeddings of 3-manifolds in 6-space. Zbl 1167.57013
Skopenkov, Arkadiy
14
2008
A new invariant and parametric connected sum of embeddings. Zbl 1145.57019
Skopenkov, A.
10
2007
A characterization of submanifolds by a homogeneity condition. Zbl 1118.57025
Skopenkov, Arkadiy
2
2007
Embeddings of homology equivalent manifolds with boundary. Zbl 1105.57022
Gonçalves, D.; Skopenkov, A.
5
2006
On the Browder-Levine-Novikov embedding theorems. Zbl 1108.57021
Cencelj, M.; Repovš, D.; Skopenkov, A. B.
2
2004
On incompleteness of the deleted product obstruction for embeddability. Zbl 1052.57029
Malešič, J.; Repovš, D.; Skopenkov, A.
1
2003
On the Haefliger-Hirsch-Wu invariants for embeddings and immersions. Zbl 1012.57035
Skopenkov, Arkadi
10
2002
Obstructions to approximating maps of \(n\)-manifolds into \(\mathbb{R}^{2n}\) by embeddings. Zbl 1003.57036
Akhmetiev, P. M.; Repovš, D.; Skopenkov, A. B.
5
2002
On projected embeddings and desuspending the \(\alpha\)-invariant. Zbl 1015.57019
Repovš, Dušan; Skopenkov, Arkady
1
2002
Resolutions of 2-polyhedra by fake surfaces and embeddings into \(\mathbb{R}^4\). Zbl 1004.57002
Onischenko, Alexander; Repovš, Dušan; Skopenkov, Arkady
1
2001
On the generalized Massey-Rolfsen invariant for link maps. Zbl 0966.57028
Skopenkov, A.
4
2000
New results on embeddings of polyhedra and manifolds in Euclidean spaces. Zbl 0958.57025
Repovsh, D.; Skopenkov, A.
8
1999
A classification of 3-thickenings of 2-polyhedra. Zbl 0928.57029
Repovš, Dušan; Brodskij, Nikolaj B.; Skopenkov, Arkadij B.
7
1999
A deleted product criterion for approximability of maps by embeddings. Zbl 0934.57024
Repovš, Dušan; Skopenkov, Arkadij B.
12
1998
Open problems on graphs arising from geometric topology. Zbl 0958.57003
Cavicchioli, Alberto; Repovš, Dušan; Skopenkov, Arkadij B.
11
1998
Embeddings of polyhedra in \(\mathbb R^m\) and the deleted product obstruction. Zbl 0934.57025
Segal, Jack; Skopenkov, A.; Spież, S.
7
1998
On the deleted product criterion for embeddability in \(\mathbb{R}^m\). Zbl 0895.57006
Skopenkov, A.
5
1998
On the deleted product criterion for embeddability of manifolds in \(\mathbb{R}^m\). Zbl 0905.57015
Skopenkov, A.
5
1997
Group actions on manifolds and smooth ambient homogeneity. Zbl 0881.54041
Repovš, D.; Skopenkov, A. B.; Ščepin, E. V.
4
1997
\(C^ 1\)-homogeneous compacta in \(\mathbb{R}^ n\) are \(C^ 1\)-submanifolds of \(\mathbb{R}^ n\). Zbl 0863.53004
Repovš, Dušan; Skopenkov, Arkadij B.; Ščepin, Evgenij V.
11
1996
Embeddability and isotopy of polyhedra in Euclidean spaces. Zbl 0884.57020
Repovš, D.; Skopenkov, A. B.
5
1996
Embeddability and isotopy of polyhedra in Euclidean spaces. Zbl 0905.57016
Repovš, D.; Skopenkov, A. B.
1
1996
On embeddability of \(X\times I\) into Euclidean space. Zbl 0856.57018
Repovš, Dušan; Skopenkov, Arkadij B.; Shchepin, Evgenij V.
6
1995
A description of continua basically embeddable in \(\mathbb{R}^ 2\). Zbl 0853.54032
Skopenkov, A.
5
1995
On uncountable collections of continua and their span. Zbl 0882.54030
Repovš, Dušan; Skopenkov, Arkadij B.; Ščepin, Evgenij
5
1995
Geometric proof of Neuwirth’s theorem on the construction of 3-manifolds from 2-dimensional polyhedra. Zbl 0853.57003
Skopenkov, A. B.
1
1994
A characterization of \(C^ 1\)-homogeneous subsets of the plane. Zbl 0801.57010
Repovš, Dušan; Skopenkov, A. B.; Ščepin, E. V.
2
1993
all top 5

Cited by 92 Authors

26 Skopenkov, Arkadiĭ Borisovich
13 Repovš, Dušan D.
7 Wagner, Uli
6 Cavicchioli, Alberto
6 Melikhov, Sergey Aleksandrovich
4 Akhmet’ev, Pëtr Mikhaĭlovich
4 Crowley, Diarmuid John
4 Shchepin, Evgenij V.
4 Skopenkov, Mikhail B.
4 Spaggiari, Fulvia
3 Matoušek, Jiří
3 Tancer, Martin
2 Burton, Benjamin A.
2 Čadek, Martin
2 Cencelj, Matija
2 Frick, Florian
2 Fulek, Radoslav
2 Knevel, Roland
2 Krčál, Marek
2 Lasheras, Francisco F.
2 Sergeraert, Francis
2 Vokřínek, Lukáš
2 Željko, Matjaž
1 Akin, Ethan
1 Avila, Artur
1 Avvakumov, Sergey Ya.
1 Bárány, Imre
1 Biswas, Indranil
1 Budney, Ryan David
1 Cárdenas, Manuel
1 Culter, Christopher J.
1 De Mesmay, Arnaud
1 Dolgopyat, Dmitry
1 Eleftheriou, Pantelis E.
1 Eudave-Muñoz, Mario
1 Ferry, Steven C.
1 Gao, Wei
1 García Guirao, Juan Luis
1 Gärtner, Bernd
1 Goaoc, Xavier
1 Gonçalves, Daciberg Lima
1 Gu, David Xianfeng
1 Hammerlindl, Andy
1 Jojić, Duško
1 Kasuya, Naohiko
1 Krushkal, Vyacheslav S.
1 Kupavskii, Andrey
1 Le Donne, Enrico
1 Lei, Na
1 Lindenstrauss, Elon
1 Liu, Chuancai
1 Llibre, Jaume
1 Loboda, Alexander Vasil’evich
1 Luo, Feng
1 Mabillard, Isaac
1 Miliczká, Eva
1 Mramor-Kosta, Neža
1 Munson, Brian A.
1 Musin, Oleg R.
1 Olbermann, Martin
1 Ott, William
1 Ozawa, Makoto
1 Panina, Gaiane Yu.
1 Paták, Pavel
1 Patáková, Zuzana
1 Petrova, Yu. V.
1 Plachta, Leonid P.
1 Ren, Yuxue
1 Rodriguez Hertz, Jana
1 Rosicki, Witold
1 Segal, Jack
1 Soberón, Pablo
1 Spiez, Stanislaw
1 Telloni, Agnese Ilaria
1 Tonkonog, Dmitry
1 Tóth, Csaba D.
1 Trenklerová, Eva
1 Tsukamoto, Masaki
1 Tuffley, Christopher P.
1 Ures, Raúl
1 Valtr, Pavel
1 Vásquez, Carlos H.
1 Viana, Marcelo
1 Wen, Chengfeng
1 Wilkinson, Amie
1 Yoshiyasu, Toru
1 Zając, Justyna
1 Zastrow, Andreas
1 Zhang, Yue
1 Zhen, Shengxian
1 Živaljević, Rade T.
1 Zou, Jian
all top 5

Cited in 43 Serials

21 Topology and its Applications
10 Proceedings of the American Mathematical Society
5 Journal of Mathematical Sciences (New York)
3 Israel Journal of Mathematics
3 International Journal of Mathematics
3 Algebraic & Geometric Topology
2 Discrete & Computational Geometry
2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
2 Complex Variables and Elliptic Equations
2 Proceedings of the Steklov Institute of Mathematics
1 Bulletin of the Australian Mathematical Society
1 Discrete Mathematics
1 Mathematical Notes
1 Periodica Mathematica Hungarica
1 Rocky Mountain Journal of Mathematics
1 Russian Mathematical Surveys
1 International Journal of Mathematics and Mathematical Sciences
1 Mathematische Zeitschrift
1 Transactions of the Moscow Mathematical Society
1 Ergodic Theory and Dynamical Systems
1 Chinese Annals of Mathematics. Series B
1 Acta Mathematica Hungarica
1 Annals of Pure and Applied Logic
1 Forum Mathematicum
1 Bulletin of the American Mathematical Society. New Series
1 Journal of Knot Theory and its Ramifications
1 Experimental Mathematics
1 The Electronic Journal of Combinatorics
1 Journal of Difference Equations and Applications
1 Discrete and Continuous Dynamical Systems
1 Journal of Combinatorial Optimization
1 Journal of the ACM
1 PAA. Pattern Analysis and Applications
1 Journal of the European Mathematical Society (JEMS)
1 Acta Mathematica Sinica. English Series
1 Communications in Contemporary Mathematics
1 Journal of the Australian Mathematical Society
1 Moscow Mathematical Journal
1 Journal of Systems Science and Complexity
1 Groups, Geometry, and Dynamics
1 Journal of Modern Dynamics
1 Arnold Mathematical Journal
1 European Journal of Mathematics

Citations by Year