# zbMATH — the first resource for mathematics

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 Documents Indexed: 52 Publications since 1993, including 1 Book Reviewing Activity: 5 Reviews
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#### Co-Authors

 20 single-authored 25 Repovš, Dušan D. 5 Shchepin, Evgenij V. 2 Akhmet’ev, Pëtr Mikhaĭlovich 2 Cavicchioli, Alberto 2 Cencelj, Matija 2 Gonçalves, Daciberg Lima 1 Avvakumov, Sergey Ya. 1 Brodskij, Nikolaj B. 1 Crowley, Diarmuid John 1 Mabillard, Isaac 1 Malešič, Jože 1 Mukai, Juno 1 Onischenko, Alexander 1 Segal, Jack 1 Spaggiari, Fulvia 1 Spiez, Stanislaw 1 Tancer, Martin 1 Wagner, Uli
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#### Serials

 12 Topology and its Applications 4 Russian Mathematical Surveys 4 Proceedings of the American Mathematical Society 2 Mathematical Notes 2 Colloquium Mathematicum 2 Commentarii Mathematici Helvetici 2 Fundamenta Mathematicae 2 Discrete & Computational Geometry 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Discrete Applied Mathematics 1 Houston Journal of Mathematics 1 Rocky Mountain Journal of Mathematics 1 Mathematische Zeitschrift 1 Chinese Annals of Mathematics. Series B 1 International Journal of Mathematics 1 Bollettino della Unione Matemàtica Italiana. Serie VII. A 1 Journal of Mathematical Sciences (New York) 1 Kyushu Journal of Mathematics 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Homology, Homotopy and Applications 1 MSRI Mathematical Circles Library 1 Arnold Mathematical Journal
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#### Fields

 42 Manifolds and cell complexes (57-XX) 15 General topology (54-XX) 15 Algebraic topology (55-XX) 6 Combinatorics (05-XX) 4 Convex and discrete geometry (52-XX) 3 Differential geometry (53-XX) 3 Computer science (68-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 General and overarching topics; collections (00-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Associative rings and algebras (16-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Sequences, series, summability (40-XX) 1 Functional analysis (46-XX) 1 Geometry (51-XX) 1 Mechanics of particles and systems (70-XX) 1 Mathematics education (97-XX)

#### Citations contained in zbMATH Open

35 Publications have been cited 178 times in 80 Documents Cited by Year
Embedding and knotting of manifolds in Euclidean spaces. Zbl 1154.57019
2008
A deleted product criterion for approximability of maps by embeddings. Zbl 0934.57024
1998
A classification of smooth embeddings of 3-manifolds in 6-space. Zbl 1167.57013
2008
$$C^ 1$$-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.
1996
Open problems on graphs arising from geometric topology. Zbl 0958.57003
Cavicchioli, Alberto; Repovš, Dušan; Skopenkov, Arkadij B.
1998
On the Haefliger-Hirsch-Wu invariants for embeddings and immersions. Zbl 1012.57035
2002
A new invariant and parametric connected sum of embeddings. Zbl 1145.57019
Skopenkov, A.
2007
New results on embeddings of polyhedra and manifolds in Euclidean spaces. Zbl 0958.57025
Repovsh, D.; Skopenkov, A.
1999
On embeddability of $$X\times I$$ into Euclidean space. Zbl 0856.57018
Repovš, Dušan; Skopenkov, Arkadij B.; Shchepin, Evgenij V.
1995
Embeddings of polyhedra in $$\mathbb R^m$$ and the deleted product obstruction. Zbl 0934.57025
Segal, Jack; Skopenkov, A.; Spież, S.
1998
A classification of 3-thickenings of 2-polyhedra. Zbl 0928.57029
Repovš, Dušan; Brodskij, Nikolaj B.; Skopenkov, Arkadij B.
1999
A description of continua basically embeddable in $$\mathbb{R}^ 2$$. Zbl 0853.54032
Skopenkov, A.
1995
On uncountable collections of continua and their span. Zbl 0882.54030
Repovš, Dušan; Skopenkov, Arkadij B.; Ščepin, Evgenij
1995
Embeddability and isotopy of polyhedra in Euclidean spaces. Zbl 0884.57020
Repovš, D.; Skopenkov, A. B.
1996
On the deleted product criterion for embeddability of manifolds in $$\mathbb{R}^m$$. Zbl 0905.57015
Skopenkov, A.
1997
On the deleted product criterion for embeddability in $$\mathbb{R}^m$$. Zbl 0895.57006
Skopenkov, A.
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.
2002
Embeddings of homology equivalent manifolds with boundary. Zbl 1105.57022
Gonçalves, D.; Skopenkov, A.
2006
A classification of smooth embeddings of four-manifolds in seven-space. II. Zbl 1230.57026
2011
Group actions on manifolds and smooth ambient homogeneity. Zbl 0881.54041
Repovš, D.; Skopenkov, A. B.; Ščepin, E. V.
1997
A User’s guide to the topological Tverberg conjecture. Zbl 1406.52015
2018
A classification of smooth embeddings of 4-manifolds in 7-space. I. Zbl 1202.57026
2010
Embeddings of $$k$$-connected $$n$$-manifolds into $$\mathbb {R}^{2n-k-1}$$. Zbl 1206.57034
Skopenkov, A.
2010
On the generalized Massey-Rolfsen invariant for link maps. Zbl 0966.57028
Skopenkov, A.
2000
A characterization of submanifolds by a homogeneity condition. Zbl 1118.57025
2007
On the Browder-Levine-Novikov embedding theorems. Zbl 1108.57021
Cencelj, M.; Repovš, D.; Skopenkov, A. B.
2004
A characterization of $$C^ 1$$-homogeneous subsets of the plane. Zbl 0801.57010
Repovš, Dušan; Skopenkov, A. B.; Ščepin, E. V.
1993
Hardness of almost embedding simplicial complexes in $$\mathbb {R}^d$$. Zbl 1415.57016
2019
On incompleteness of the deleted product obstruction for embeddability. Zbl 1052.57029
Malešič, J.; Repovš, D.; Skopenkov, A.
2003
Geometric proof of Neuwirth’s theorem on the construction of 3-manifolds from 2-dimensional polyhedra. Zbl 0853.57003
Skopenkov, A. B.
1994
Embeddability and isotopy of polyhedra in Euclidean spaces. Zbl 0905.57016
Repovš, D.; Skopenkov, A. B.
1996
Resolutions of 2-polyhedra by fake surfaces and embeddings into $$\mathbb{R}^4$$. Zbl 1004.57002
Onischenko, Alexander; Repovš, Dušan; Skopenkov, Arkady
2001
On projected embeddings and desuspending the $$\alpha$$-invariant. Zbl 1015.57019
2002
How do autodiffeomorphisms act on embeddings? Zbl 1409.57030
Skopenkov, A.
2017
Stability of intersections of graphs in the plane and the van Kampen obstruction. Zbl 1422.57068
2018
Hardness of almost embedding simplicial complexes in $$\mathbb {R}^d$$. Zbl 1415.57016
2019
A User’s guide to the topological Tverberg conjecture. Zbl 1406.52015
2018
Stability of intersections of graphs in the plane and the van Kampen obstruction. Zbl 1422.57068
2018
How do autodiffeomorphisms act on embeddings? Zbl 1409.57030
Skopenkov, A.
2017
A classification of smooth embeddings of four-manifolds in seven-space. II. Zbl 1230.57026
2011
A classification of smooth embeddings of 4-manifolds in 7-space. I. Zbl 1202.57026
2010
Embeddings of $$k$$-connected $$n$$-manifolds into $$\mathbb {R}^{2n-k-1}$$. Zbl 1206.57034
Skopenkov, A.
2010
Embedding and knotting of manifolds in Euclidean spaces. Zbl 1154.57019
2008
A classification of smooth embeddings of 3-manifolds in 6-space. Zbl 1167.57013
2008
A new invariant and parametric connected sum of embeddings. Zbl 1145.57019
Skopenkov, A.
2007
A characterization of submanifolds by a homogeneity condition. Zbl 1118.57025
2007
Embeddings of homology equivalent manifolds with boundary. Zbl 1105.57022
Gonçalves, D.; Skopenkov, A.
2006
On the Browder-Levine-Novikov embedding theorems. Zbl 1108.57021
Cencelj, M.; Repovš, D.; Skopenkov, A. B.
2004
On incompleteness of the deleted product obstruction for embeddability. Zbl 1052.57029
Malešič, J.; Repovš, D.; Skopenkov, A.
2003
On the Haefliger-Hirsch-Wu invariants for embeddings and immersions. Zbl 1012.57035
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.
2002
On projected embeddings and desuspending the $$\alpha$$-invariant. Zbl 1015.57019
2002
Resolutions of 2-polyhedra by fake surfaces and embeddings into $$\mathbb{R}^4$$. Zbl 1004.57002
Onischenko, Alexander; Repovš, Dušan; Skopenkov, Arkady
2001
On the generalized Massey-Rolfsen invariant for link maps. Zbl 0966.57028
Skopenkov, A.
2000
New results on embeddings of polyhedra and manifolds in Euclidean spaces. Zbl 0958.57025
Repovsh, D.; Skopenkov, A.
1999
A classification of 3-thickenings of 2-polyhedra. Zbl 0928.57029
Repovš, Dušan; Brodskij, Nikolaj B.; Skopenkov, Arkadij B.
1999
A deleted product criterion for approximability of maps by embeddings. Zbl 0934.57024
1998
Open problems on graphs arising from geometric topology. Zbl 0958.57003
Cavicchioli, Alberto; Repovš, Dušan; Skopenkov, Arkadij B.
1998
Embeddings of polyhedra in $$\mathbb R^m$$ and the deleted product obstruction. Zbl 0934.57025
Segal, Jack; Skopenkov, A.; Spież, S.
1998
On the deleted product criterion for embeddability in $$\mathbb{R}^m$$. Zbl 0895.57006
Skopenkov, A.
1998
On the deleted product criterion for embeddability of manifolds in $$\mathbb{R}^m$$. Zbl 0905.57015
Skopenkov, A.
1997
Group actions on manifolds and smooth ambient homogeneity. Zbl 0881.54041
Repovš, D.; Skopenkov, A. B.; Ščepin, E. V.
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.
1996
Embeddability and isotopy of polyhedra in Euclidean spaces. Zbl 0884.57020
Repovš, D.; Skopenkov, A. B.
1996
Embeddability and isotopy of polyhedra in Euclidean spaces. Zbl 0905.57016
Repovš, D.; Skopenkov, A. B.
1996
On embeddability of $$X\times I$$ into Euclidean space. Zbl 0856.57018
Repovš, Dušan; Skopenkov, Arkadij B.; Shchepin, Evgenij V.
1995
A description of continua basically embeddable in $$\mathbb{R}^ 2$$. Zbl 0853.54032
Skopenkov, A.
1995
On uncountable collections of continua and their span. Zbl 0882.54030
Repovš, Dušan; Skopenkov, Arkadij B.; Ščepin, Evgenij
1995
Geometric proof of Neuwirth’s theorem on the construction of 3-manifolds from 2-dimensional polyhedra. Zbl 0853.57003
Skopenkov, A. B.
1994
A characterization of $$C^ 1$$-homogeneous subsets of the plane. Zbl 0801.57010
Repovš, Dušan; Skopenkov, A. B.; Ščepin, E. V.
1993
all top 5

#### Cited by 82 Authors

 22 Skopenkov, Arkadiĭ Borisovich 13 Repovš, Dušan D. 6 Melikhov, Sergey Aleksandrovich 5 Cavicchioli, Alberto 5 Wagner, Uli 4 Shchepin, Evgenij V. 4 Skopenkov, Mikhail B. 3 Akhmet’ev, Pëtr Mikhaĭlovich 3 Matoušek, Jiří 3 Spaggiari, Fulvia 3 Tancer, Martin 2 Čadek, Martin 2 Cencelj, Matija 2 Crowley, Diarmuid John 2 Knevel, Roland 2 Krčál, Marek 2 Lasheras, Francisco F. 2 Sergeraert, Francis 2 Vokřínek, Lukáš 2 Željko, Matjaž 1 Akhmetiev, Peter M. 1 Akin, Ethan 1 Bárány, Imre 1 Biswas, Indranil 1 Burton, Benjamin A. 1 Cárdenas, Manuel 1 Culter, Christopher J. 1 De Mesmay, Arnaud 1 Dolgopyat, Dmitry 1 Eleftheriou, Pantelis E. 1 Ferry, Steven C. 1 Frick, Florian 1 Fulek, Radoslav 1 Gao, Wei 1 García Guirao, Juan Luis 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 Le Donne, Enrico 1 Lei, Na 1 Lindenstrauss, Elon 1 Liu, Chuancai 1 Llibre, Jaume 1 Loboda, Alexander Vasil’evich 1 Luo, Feng 1 Miliczká, Eva 1 Mramor-Kosta, Neža 1 Munson, Brian A. 1 Musin, Oleg R. 1 Olbermann, Martin 1 Ott, William 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 Vásquez, Carlos H. 1 Wen, Chengfeng 1 Yoshiyasu, Toru 1 Zając, Justyna 1 Zastrow, Andreas 1 Zhang, Yue 1 Zhen, Shengxian 1 Živaljević, Rade T. 1 Zou, Jian
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#### Cited in 39 Serials

 20 Topology and its Applications 9 Proceedings of the American Mathematical Society 5 Journal of Mathematical Sciences (New York) 3 International Journal of Mathematics 3 Algebraic & Geometric Topology 2 Israel Journal of Mathematics 2 Discrete & Computational Geometry 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 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 Chinese Annals of Mathematics. Series B 1 Acta Mathematica Hungarica 1 Annals of Pure and Applied Logic 1 Forum Mathematicum 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Bulletin of the American Mathematical Society. New Series 1 Journal of Knot Theory and its Ramifications 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 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
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#### Cited in 22 Fields

 54 Manifolds and cell complexes (57-XX) 19 General topology (54-XX) 16 Algebraic topology (55-XX) 9 Combinatorics (05-XX) 7 Differential geometry (53-XX) 7 Computer science (68-XX) 6 Dynamical systems and ergodic theory (37-XX) 5 Real functions (26-XX) 5 Convex and discrete geometry (52-XX) 5 Global analysis, analysis on manifolds (58-XX) 2 Number theory (11-XX) 2 Nonassociative rings and algebras (17-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Functional analysis (46-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Algebraic geometry (14-XX) 1 Group theory and generalizations (20-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Operator theory (47-XX) 1 Operations research, mathematical programming (90-XX)