Karasev, Roman; Skopenkov, Arkadiy Some ‘converses’ to intrinsic linking theorems. (English) Zbl 1527.57019 Discrete Comput. Geom. 70, No. 3, 921-930 (2023). MSC: 57M15 57Q35 57K45 55S91 68U05 05C10 PDFBibTeX XMLCite \textit{R. Karasev} and \textit{A. Skopenkov}, Discrete Comput. Geom. 70, No. 3, 921--930 (2023; Zbl 1527.57019) Full Text: DOI arXiv
Parsa, S.; Skopenkov, A. On embeddability of joins and their ‘factors’. (English) Zbl 1520.57028 Topology Appl. 326, Article ID 108409, 4 p. (2023). Reviewer: Djordje Baralic (Beograd) MSC: 57Q35 55N25 55U10 PDFBibTeX XMLCite \textit{S. Parsa} and \textit{A. Skopenkov}, Topology Appl. 326, Article ID 108409, 4 p. (2023; Zbl 1520.57028) Full Text: DOI arXiv
Crowley, D.; Skopenkov, A. Embeddings of non-simply-connected 4-manifolds in 7-space. I: Classification modulo knots. (English) Zbl 1484.57024 Mosc. Math. J. 21, No. 1, 43-98 (2021). Reviewer: Vagn Lundsgaard Hansen (Lyngby) MSC: 57R40 57R52 57R67 57Q35 55R15 PDFBibTeX XMLCite \textit{D. Crowley} and \textit{A. Skopenkov}, Mosc. Math. J. 21, No. 1, 43--98 (2021; Zbl 1484.57024) Full Text: arXiv Link
Skopenkov, Arkadiy A short exposition of Salman Parsa’s theorems on intrinsic linking and non-realizability. (English) Zbl 1457.57008 Discrete Comput. Geom. 65, No. 2, 584-585 (2021). MSC: 57K10 57M15 57Q35 05C10 52C45 68U05 52B05 PDFBibTeX XMLCite \textit{A. Skopenkov}, Discrete Comput. Geom. 65, No. 2, 584--585 (2021; Zbl 1457.57008) Full Text: DOI arXiv
Skopenkov, A. Classification of knotted tori. (English) Zbl 1439.57048 Proc. R. Soc. Edinb., Sect. A, Math. 150, No. 2, 549-567 (2020). Reviewer: Michał Jabłonowski (Gdansk) MSC: 57R40 57R52 PDFBibTeX XMLCite \textit{A. Skopenkov}, Proc. R. Soc. Edinb., Sect. A, Math. 150, No. 2, 549--567 (2020; Zbl 1439.57048) Full Text: DOI arXiv
Skopenkov, Arkadiy; Tancer, Martin Hardness of almost embedding simplicial complexes in \(\mathbb {R}^d\). (English) Zbl 1415.57016 Discrete Comput. Geom. 61, No. 2, 452-463 (2019). Reviewer: Ivan Ivanšić (Zagreb) MSC: 57Q35 68Q17 05E45 PDFBibTeX XMLCite \textit{A. Skopenkov} and \textit{M. Tancer}, Discrete Comput. Geom. 61, No. 2, 452--463 (2019; Zbl 1415.57016) Full Text: DOI arXiv
Skopenkov, Arkadiy Stability of intersections of graphs in the plane and the van Kampen obstruction. (English) Zbl 1422.57068 Topology Appl. 240, 259-269 (2018). MSC: 57Q55 05C10 54C25 57-02 54-02 PDFBibTeX XMLCite \textit{A. Skopenkov}, Topology Appl. 240, 259--269 (2018; Zbl 1422.57068) Full Text: DOI arXiv
Crowley, Diarmuid; Skopenkov, Arkadiy A classification of smooth embeddings of four-manifolds in seven-space. II. (English) Zbl 1230.57026 Int. J. Math. 22, No. 6, 731-757 (2011). Reviewer: Tsutomu Yasui (Kagoshima) MSC: 57R40 57R52 PDFBibTeX XMLCite \textit{D. Crowley} and \textit{A. Skopenkov}, Int. J. Math. 22, No. 6, 731--757 (2011; Zbl 1230.57026) Full Text: DOI arXiv
Skopenkov, A. Embeddings of \(k\)-connected \(n\)-manifolds into \(\mathbb {R}^{2n-k-1}\). (English) Zbl 1206.57034 Proc. Am. Math. Soc. 138, No. 9, 3377-3389 (2010). Reviewer: Tsutomu Yasui (Kagoshima) MSC: 57R40 57Q37 57R52 57Q35 PDFBibTeX XMLCite \textit{A. Skopenkov}, Proc. Am. Math. Soc. 138, No. 9, 3377--3389 (2010; Zbl 1206.57034) Full Text: DOI arXiv
Skopenkov, Arkadiy A classification of smooth embeddings of 4-manifolds in 7-space. I. (English) Zbl 1202.57026 Topology Appl. 157, No. 13, 2094-2110 (2010). Reviewer: Tsutomu Yasui (Kagoshima) MSC: 57R40 PDFBibTeX XMLCite \textit{A. Skopenkov}, Topology Appl. 157, No. 13, 2094--2110 (2010; Zbl 1202.57026) Full Text: DOI arXiv
Skopenkov, Arkadiy A classification of smooth embeddings of 3-manifolds in 6-space. (English) Zbl 1167.57013 Math. Z. 260, No. 3, 647-672 (2008). Reviewer: Vagn Lundsgaard Hansen (Lyngby) MSC: 57R40 57R52 PDFBibTeX XMLCite \textit{A. Skopenkov}, Math. Z. 260, No. 3, 647--672 (2008; Zbl 1167.57013) Full Text: DOI arXiv
Skopenkov, Arkadiy B. Embedding and knotting of manifolds in Euclidean spaces. (English) Zbl 1154.57019 Young, Nicholas (ed.) et al., Surveys in contemporary mathematics. Cambridge: Cambridge University Press (ISBN 978-0-521-70564-6/pbk). London Mathematical Society Lecture Note Series 347, 248-342 (2008). Reviewer: Ivan Ivanšić (Zagreb) MSC: 57Q35 57Q37 57Q45 57R40 57R52 PDFBibTeX XMLCite \textit{A. B. Skopenkov}, Lond. Math. Soc. Lect. Note Ser. 347, 248--342 (2008; Zbl 1154.57019) Full Text: arXiv
Cencelj, Matija; Repovš, Dušan; Skopenkov, Arkadiy B. Codimension two PL embeddings of spheres with nonstandard regular neighborhoods. (English) Zbl 1139.57024 Chin. Ann. Math., Ser. B 28, No. 5, 603-608 (2007). MSC: 57Q40 57M25 57M05 57N40 PDFBibTeX XMLCite \textit{M. Cencelj} et al., Chin. Ann. Math., Ser. B 28, No. 5, 603--608 (2007; Zbl 1139.57024) Full Text: DOI arXiv
Skopenkov, A. A new invariant and parametric connected sum of embeddings. (English) Zbl 1145.57019 Fundam. Math. 197, 253-269 (2007). Reviewer: Michael Farber (Durham) MSC: 57Q35 57Q37 55S15 55Q91 57R40 PDFBibTeX XMLCite \textit{A. Skopenkov}, Fundam. Math. 197, 253--269 (2007; Zbl 1145.57019) Full Text: DOI arXiv
Gonçalves, D.; Skopenkov, A. Embeddings of homology equivalent manifolds with boundary. (English) Zbl 1105.57022 Topology Appl. 153, No. 12, 2026-2034 (2006). Reviewer: Ivan Ivanšić (Zagreb) MSC: 57Q35 55S15 57Q30 57Q60 57Q65 PDFBibTeX XMLCite \textit{D. Gonçalves} and \textit{A. Skopenkov}, Topology Appl. 153, No. 12, 2026--2034 (2006; Zbl 1105.57022) Full Text: DOI arXiv
Cencelj, M.; Repovš, D.; Skopenkov, A. B. On the Browder-Levine-Novikov embedding theorems. (English. Russian original) Zbl 1108.57021 Geometric topology and set theory. Collected papers. Dedicated to the 100th birthday of Professor Lyudmila Vsevolodovna Keldysh. Transl. from the Russian. Moscow: Maik Nauka/Interperiodica. Proceedings of the Steklov Institute of Mathematics 247, 259-268 (2004); translation from Tr. Mat. Inst. Steklova 247, 280-290 (2004). Reviewer: Tsutomu Yasui (Kagoshima) MSC: 57R40 57Q35 57R52 57Q37 PDFBibTeX XMLCite \textit{M. Cencelj} et al., in: Geometric topology and set theory. Collected papers. Dedicated to the 100th birthday of Professor Lyudmila Vsevolodovna Keldysh. Transl. from the Russian. Moscow: Maik Nauka/Interperiodica. 259--268 (2004; Zbl 1108.57021); translation from Tr. Mat. Inst. Steklova 247, 280--290 (2004) Full Text: arXiv
Malešič, J.; Repovš, D.; Skopenkov, A. On incompleteness of the deleted product obstruction for embeddability. (English) Zbl 1052.57029 Bol. Soc. Mat. Mex., III. Ser. 9, No. 1, 165-170 (2003). Reviewer: Ivan Ivanšić (Zagreb) MSC: 57Q35 57N13 57R40 57N35 PDFBibTeX XMLCite \textit{J. Malešič} et al., Bol. Soc. Mat. Mex., III. Ser. 9, No. 1, 165--170 (2003; Zbl 1052.57029)
Repovš, Dušan; Skopenkov, Arkady On projected embeddings and desuspending the \(\alpha\)-invariant. (English) Zbl 1015.57019 Topology Appl. 124, No. 1, 69-75 (2002). Reviewer: A.A.Borisenko (Khar’kov) MSC: 57R40 57Q55 57Q45 PDFBibTeX XMLCite \textit{D. Repovš} and \textit{A. Skopenkov}, Topology Appl. 124, No. 1, 69--75 (2002; Zbl 1015.57019) Full Text: DOI
Akhmetiev, P. M.; Repovš, D.; Skopenkov, A. B. Obstructions to approximating maps of \(n\)-manifolds into \(\mathbb{R}^{2n}\) by embeddings. (English) Zbl 1003.57036 Topology Appl. 123, No. 1, 3-14 (2002). Reviewer: Donald M.Davis (Baltimore) MSC: 57R40 54C25 57N35 57M20 PDFBibTeX XMLCite \textit{P. M. Akhmetiev} et al., Topology Appl. 123, No. 1, 3--14 (2002; Zbl 1003.57036) Full Text: DOI
Skopenkov, Arkadi On the Haefliger-Hirsch-Wu invariants for embeddings and immersions. (English) Zbl 1012.57035 Comment. Math. Helv. 77, No. 1, 78-124 (2002). Reviewer: Ivan Ivanšić (Zagreb) MSC: 57Q35 54C25 57Q37 57Q60 PDFBibTeX XMLCite \textit{A. Skopenkov}, Comment. Math. Helv. 77, No. 1, 78--124 (2002; Zbl 1012.57035) Full Text: DOI
Akhmetiev, P. M.; Repovš, D.; Skopenkov, A. B. Embedding products of low-dimensional manifolds into \(\mathbb{R}^m\). (English) Zbl 0984.57018 Topology Appl. 113, No. 1-3, 7-12 (2001). Reviewer: Tsutomu Yasui (Kagoshima) MSC: 57R40 57M99 57R20 57R42 55U20 PDFBibTeX XMLCite \textit{P. M. Akhmetiev} et al., Topology Appl. 113, No. 1--3, 7--12 (2001; Zbl 0984.57018) Full Text: DOI
Repovš, Dušan; Skopenkov, Arkady On contractible \(n\)-dimensional compacta, non-embeddable into \(\mathbb{R}^{2n}\). (English) Zbl 0951.54016 Proc. Am. Math. Soc. 129, No. 2, 627-628 (2001). MSC: 54C25 55S91 PDFBibTeX XMLCite \textit{D. Repovš} and \textit{A. Skopenkov}, Proc. Am. Math. Soc. 129, No. 2, 627--628 (2001; Zbl 0951.54016) Full Text: DOI
Repovsh, D.; Skopenkov, A. New results on embeddings of polyhedra and manifolds in Euclidean spaces. (English. Russian original) Zbl 0958.57025 Russ. Math. Surv. 54, No. 6, 1149-1196 (1999); translation from Usp. Mat. Nauk 54, No. 6, 61-108 (1999). Reviewer: Tsutomu Yasui (Kagoshima) MSC: 57Q35 57R40 57Q37 57R52 55S35 57Q30 52B11 PDFBibTeX XMLCite \textit{D. Repovsh} and \textit{A. Skopenkov}, Russ. Math. Surv. 54, No. 6, 61--108 (1999; Zbl 0958.57025); translation from Usp. Mat. Nauk 54, No. 6, 61--108 (1999) Full Text: DOI
Cavicchioli, Alberto; Repovš, Dušan; Skopenkov, Arkadij B. Open problems on graphs arising from geometric topology. (English) Zbl 0958.57003 Topology Appl. 84, No. 1-3, 207-226 (1998). Reviewer: Joachim Grispolakis (Chania) MSC: 57M15 54F50 05C10 54B35 54C25 54C30 PDFBibTeX XMLCite \textit{A. Cavicchioli} et al., Topology Appl. 84, No. 1--3, 207--226 (1998; Zbl 0958.57003) Full Text: DOI
Segal, Jack; Skopenkov, A.; Spież, S. Embeddings of polyhedra in \(\mathbb R^m\) and the deleted product obstruction. (English) Zbl 0934.57025 Topology Appl. 85, No. 1-3, 335-344 (1998). Reviewer: J.Grispolakis (Chania) MSC: 57Q35 55S15 PDFBibTeX XMLCite \textit{J. Segal} et al., Topology Appl. 85, No. 1--3, 335--344 (1998; Zbl 0934.57025) Full Text: DOI
Repovš, Dušan; Skopenkov, Arkadij B. A deleted product criterion for approximability of maps by embeddings. (English) Zbl 0934.57024 Topology Appl. 87, No. 1, 1-19 (1998). Reviewer: J.Vrabec (Ljubljana) MSC: 57Q35 55S15 57Q55 PDFBibTeX XMLCite \textit{D. Repovš} and \textit{A. B. Skopenkov}, Topology Appl. 87, No. 1, 1--19 (1998; Zbl 0934.57024) Full Text: DOI
Skopenkov, A. On the deleted product criterion for embeddability in \(\mathbb{R}^m\). (English) Zbl 0895.57006 Proc. Am. Math. Soc. 126, No. 8, 2467-2476 (1998). Reviewer: D.B.Gauld (Auckland) MSC: 57Q35 54C25 55S15 57Q30 57Q65 57Q40 PDFBibTeX XMLCite \textit{A. Skopenkov}, Proc. Am. Math. Soc. 126, No. 8, 2467--2476 (1998; Zbl 0895.57006) Full Text: DOI
Skopenkov, A. On the deleted product criterion for embeddability of manifolds in \(\mathbb{R}^m\). (English) Zbl 0905.57015 Comment. Math. Helv. 72, No. 4, 543-555 (1997). Reviewer: J.Vrabec (Ljubljana) MSC: 57Q35 57Q37 PDFBibTeX XMLCite \textit{A. Skopenkov}, Comment. Math. Helv. 72, No. 4, 543--555 (1997; Zbl 0905.57015) Full Text: DOI
Skopenkov, A. A description of continua basically embeddable in \(\mathbb{R}^ 2\). (English) Zbl 0853.54032 Topology Appl. 65, No. 1, 29-48 (1995). MSC: 54F50 54C25 46J10 54C30 PDFBibTeX XMLCite \textit{A. Skopenkov}, Topology Appl. 65, No. 1, 29--48 (1995; Zbl 0853.54032) Full Text: DOI
Repovš, Dušan; Skopenkov, Arkadij B.; Shchepin, Evgenij V. On embeddability of \(X\times I\) into Euclidean space. (English) Zbl 0856.57018 Houston J. Math. 21, No. 1, 199-204 (1995). MSC: 57Q35 54C25 55S15 57N35 PDFBibTeX XMLCite \textit{D. Repovš} et al., Houston J. Math. 21, No. 1, 199--204 (1995; Zbl 0856.57018)