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A list of publications by A. B. Skop enkov (excluding abstracts). 1. Main research papers. A.Skopenkov, A description of continua basical ly embeddable in R2 , Topol. Appl. 65 (1995), 29­48. A. B. Skopenkov, On the deleted product criterion for embeddability of manifolds in Rm , Comment. Math. Helv. 72 (1997), 543­555. A. B. Skopenkov, On the deleted product criterion for embeddability in Rm , Proc. Amer. Math. Soc. 126:8 (1998), 2467­2476. A. Skopenkov, On the generalized Massey­Rolfsen invariant for link maps, Fund. Math. 165 (2000), 1­15. A. Skopenkov, On the Haefliger-Hirsch-Wu invariants for embeddings and immersions, Comment. Math. Helv. 77 (2002), 78­124. A. Skopenkov, A new invariant and parametric connected sum of embeddings, Fund. Math. 197 (2007), 253­269; arxiv:math/0509621. A. Skopenkov, Embedding and knotting of manifolds in Euclidean spaces, in: Surveys in Contemporary Mathematics, Ed. N. Young and Y. Choi, London Math. Soc. Lect. Notes 347 (2008), 248­342; arxiv:math/0604045. A. Skopenkov, A classification of smooth embeddings of 3-manifolds in 6-space, Math. Zeitschrift 260:3 (2008), 647-672; arxiv:math/0603429. A. Skopenkov, A classification of smooth embeddings of 4-manifolds in 7-space, I, Topol. Appl. 157 (2010), 2094-2110; arxiv:math/0512594. A. Skopenkov, Embeddings of k -connected n-manifolds into R2n-k-1 , Proc. Amer. Math. Soc. 138 (2010), 3377­3389; arxiv:math/0812.0263. cepin, C 1 -homogeneous compacta in Rn are D. Repov A. B. Skopenkov and E. V. S s, 1 n C -submanifolds of R , Proc. Amer. Math. Soc. 124:4 (1996), 1219­1226. D. Repov and A. B. Skopenkov, A deleted product criterion for approximability of s a map by embeddings, Topol. Appl. 87 (1998), 1­19. J. Segal, A. Skopenkov and S. Spiez, Embeddings of polyhedra in Rm and the deleted product obstruction, Topol. Appl. 85 (1998), 225­234. D. Repovs and A. Skopenkov, New results on embeddings of polyhedra and manifolds into Euclidean spaces, Uspekhi Mat. Nauk 54:6 (1999), 61­109 (in Russian); English transl., Russ. Math. Surv., 1149­1196. D. Crowley and A. Skopenkov, A classification of smooth embeddings of 4-manifolds in 7-space, II, Internat. J. Math. 22:6 (2011), 731-757; arxiv:math/0808.1795. 2. Other research papers. cepin, A characterization of C 1 -homogeneous D. Repov A. B. Skopenkov and E. V. S s, subsets of the plane, Boll. Unione Mat. Ital. 7-A (1993), 437­444. A. Skopenkov, A geometric proof of the Neuwirth theorem on thickenings of 2polyhedra, Mat. Zametki 56:2 (1994), 94­98 (in Russsian); English transl.: Math. Notes, 58:5 (1995), 1244­1247. cepin, On uncountable col lections of continua D. Repov A. B. Skopenkov and E. V. S s, and their span, Colloq. Math. 69:2 (1995), 289­296. cepin, On embeddability of X â I into D. Repov A. B. Skopenkov and E. V. S s, Euclidean space, Houston J. Math 21 (1995), 199­204. D. Repov and A. B. Skopenkov, On homogeneous compacta in Euclidean space and s the classical Hilbert­Smith conjecture, in: Proc. of the Second Asian Math. Conf. (ed. S.Tangmanee, E.Schulz) (1995), 222­226. 1

[Sk95] [Sk97] [Sk98] [Sk00] [Sk02] [Sk07] [Sk08]

[Sk08'] [Sk10] [Sk10'] [RSS96] [RS98] [SSS98] [RS99]

[CS11]

[RSS93] [Sk94]

[RSS95] [RSS95'] [RS95]


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[RS96] D. Repov and A. B. Skopenkov, Embeddability and isotopy of polyhedra in Euclidean s spaces, Trudy Math. Inst. Ross. Akad. Nauk 212 (1996); Proc. of the Steklov Inst. Math. 212 (1996), 173­188. cepin, Group actions on manifolds and [RSS97] D. Repov A. B. Skopenkov and E. V. S s, smooth ambient homogeneity, Jour. of Math. Sci. (New York) 83:4 (1997), 546­ 549. [CRS98] A. Cavicchioli, D. Repov and A. B. Skopenkov, Open problems on graphs, arising s from geometric topology, Topol. Appl. 84 (1998), 207­226. [RS99'] D. Repov and A. B. Skopenkov, Obstructions for Seifert fibrations and classificas tion of Hamiltonian systems (in Russian), Uspehi Mat. Nauk 54:3 (1999); English transl.:, Russ. Math. Surv. 54:3 (1999). [RS99"] D. Repov and A. B. Skopenkov, Borromean rings and embedding obstructions (in s Russian), Trudy Math. Inst. Ross. Akad. Nauk 225 (1999), 331­338; English transl.:, Proc. of the Steklov Inst. Math. 225 (1999), 314­321. [BRS99] D. Repov N. Brodsky and A. B. Skopenkov, A classification of 3-thickenings of s, 2-polyhedra, Topol. Appl. 94 (1999), 307­314. [CRS00] A. Cavicchioli, D. Repov and A. B. Skopenkov, An extension of the Bolsinov­ s Fomenko theorem on classification of Hamiltonian systems, Rocky Mount. J. Math. 30:2 (2000), 447­476. [RS00] D. Repov and A. Skopenkov, Cel l-like resolutions of polyhedra by special ones, Cols loq. Math. 86:2 (2000), 231­237. [RS01] D. Repov and A. Skopenkov, On contractible n-dimensional compacta, non-embeddable s 2n into R , Proc. Amer. Math. Soc. 129 (2001), 627­628. [ARS01] P. Akhmetiev, D. Repov and A. Skopenkov, Embedding products of low­dimensional s m manifolds in R , Topol. Appl. 113 (2001), 7­12; (North-Holland, Elsevier). [ORS01] A. Onischenko, D. Repov and A. Skopenkov, Resolutions of 2-polyhedra by fake s surfaces and embeddings into R4 , Contemporary Math. 288 (2001), 396­400. [ARS02] P. Akhmetiev, D. Repov and A. Skopenkov, Obstructions to approximating maps of s n-manifolds into R2n by embeddings, Topol. Appl. 123 (2002), 3­14. [RS02] D. Repov and A. Skopenkov, On projected embeddings and desuspension of the s invairant, Topol. Appl. 124 (2002), 69­75; (North-Holland, Elsevier). [MRS03]J. Male D. Repov and A. Skopenkov, On incompleteness of the deleted product sic, s obstruction for embeddings, Bol. Soc. Mat. Mexicana (3) 9 (2003), 165­170. [MS04] J. Mukai and A. Skopenkov, A direct summand in a homotopy group of the mod 2 Moore space, Kyushu J. Math. 58:1 (2004), 203­209. [CRS04] M. Cencelj, D. Repov and A. Skopenkov, On the Browder-Levine-Novikov embedding s theorems, Trudy MIRAN 247 (2004), 280­290. [RSS05] D. Repov A. Skopenkov and F. Spaggiari, An infinite sequence of non-realizable s, weavings, Discr. Appl. Math. 150:1-3 (2005), 256­260. [GS06] D. Goncalves and A. Skopenkov, Embeddings of homology equivalent manifolds with boundary, Topol. Appl. 153:12 (2006), 2026-2034; http://arxiv.org/abs/1207.1326. [CRS07] M. Cencelj, D. Repov and A. Skopenkov, Codimension two PL embeddings of s spheres with nonstandard regular neighborhoods, Chinese Annals of Mathematics, Series B 28:5 (2007), 603-608; http://arxiv.org/abs/math.GT/0608653. [Sk07'] A. Skopenkov, A characterization of submanifolds by a homogeneity condition, Topol. Appl. 154 (2007), 1894-1897; http://arxiv.org/abs/math.GT/0606470.


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Pedagogical papers and books. [VSS95] N. Vassiliev, V. Senderov and A. Skopenkov, Around the Markov equation, Kvant (1995), N6, 36­38. [Sk96] A. Skopenkov, Borsuk's problem, Quantum 7:1 (1996), 16­21, 63. [KS97] V. Kurlin and A. Skopenkov, Basic embeddings of graphs into the plane (in Russian), Math. Obrazovanie 3 (1997), 105­113. [KS98] V. Kurlin and A. Skopenkov, Basic embeddings of graphs into the plane, in: 9-th summer conference of Tournament of Towns, MCCME (1998), 34­44, 106­113. (in Russian) [Sk99] A. Skopenkov, n-dimensional cube, polynomials and solution of the Borsuk problem (in Russian), Mat. Prosveschenie 3 (1999). [DSS99] V. N. Dubrovskiy, A. B. Skopenkov and A. V. Spivak, Mathematics (materials of the 1997 summer school), SUNC MGU (1999). [KS99] P. Kozhevnikov and A. Skopenkov, Narrow trees in the plane (in Russian), Mat. Obrazovanie 5 (1999), 126­131. [RS00] D. Repov and A. Skopenkov, Obstruction theory for beginners (in Russian), Mat. s Prosveschenie 4 (2000). [ST00] A. Skopenkov and A. Talambutsa, Packing of regular polyhedra, Math. Education 3(14) (2000), 52­53. [RS02] D. Repov and A. Skopenkov, Characteristic classes for beginners (in Russian), Mat. s Prosveschenie 6 (2002), 60-77. [ST04] A. Skopenkov and A. Talambutsa, Extremal dispositions of regular polyhedra, Mat. Prosveschenie 8 (2004), 53­65. [Sk06] A. Skopenkov, Olympiads and mathematics (in Russian), Mat. Prosveschenie 10 (2006), 57­63; http://www.mccme.ru/free-books/matprosb.html. [KS06] A. Kaibkhanov and A. Skopenkov, Examples of transcendent numbers (in Russian), Mat. Prosveschenie 10 (2006), 176­184; http://www.mccme.ru/free-books/matprosb.html. [Sk05] A. Skopenkov, On the Kuratowski graph planarity criterion, Mat. Prosveschenie, 9 (2005), 116-128. http://arxiv.org/abs/0802.3820 [OS07] A. Oshemkov and A. Skopenkov, Olympiads in geometry and topology (in Russian), Mat. Prosveschenie, 11 (2007), 131­140. http://www.mccme.ru/free-books/matpros.html [ST07] A. Skopenkov and A. Telishev, Once again on the Kuratowski graph planarity criterion, Mat. Prosveschenie, 11 (2007), 159-160. http://arxiv.org/abs/0802.3820 [Sk08] A. Skopenkov, Algebraic topology from elementary viewpoint, in Russian, MCCME, Moscow, to appear. arXiv:0808.1395 [Sk08] A. Skopenkov, Some reflections on research problems for high-school students, Mat. Prosveschenie, 12 (2008), 23­32. [KS08] P. Kozlov and A. Skopenkov, A la recherche de l'alg` ebre perdue: du cote de chez Gauss, Mat. Prosveschenie 12 (2008), 127­144. http://arxiv.org/abs/0804.4357 [B08] I. Arzhantsev, V. Bogachev, A. Zaslavsky, V. Protasov, A. Raygorodsky, A. Skopenkov, Students' mathematical olympiades and interdepartment seminar at Moscow State University, Mat. Prosveschenie, 12 (2008), 205-222. [Z09] Mathematics via problems, editors: A. Zaslavsky, D. Permyakov, A. Skopenkov, M. Skopenkov and A. Shapovalov. Moscow, MCCME, 2009. [Sk09] A. Skopenkov, Basic Differential Geometry As a Sequence of Interesting Problems, in Russian, MCCME, Moscow, 2009. http://arxiv.org/abs/0801.1568 [Sk09'] A. Skopenkov, Yet another proof from the book: the Gauss theorem on regular polygons, http://arxiv.org/abs/0908.2029


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[Sk10] A. Skopenkov, Basic embeddings and Hilbert's 13th problem (in Russian), Mat. Prosveschenie, 14 (2010) 143­174, http://arxiv.org/abs/1001.4011 Abridged English translation: http://arxiv.org/abs/1003.1586 [A10] I. Arzhantsev, V. Bogachev, A. Zaslavsky, V. Protasov, A. Raygorodsky, A. Skopenkov, Students' mathematical olympiades at Moscow State University, Mat. Prosveschenie, 14 (2010), 225-234. [Sk11] A. Skopenkov, A simple proof of the Abel-Ruffini theorem, Mat. Prosveschenie, 15 (2011) 113-126, http://arxiv.org/abs/1102.2100. [Sk12] A. Skopenkov, Ambient Homogeneity, MCCME, Moscow, 2012, http://arxiv.org/abs/1003.5278. [Sk12']A. Skopenkov, Yet another proof from the book: Menger theorem, Mat. Prosveschenie, 16 (2012), 48-49. [A12] I. Arzhantsev, V. Bogachev, A. Garber, A. Zaslavsky, V. Protasov and A. Skopenkov, Students' mathematical olympiades at Moscow State University 2010-2011, Mat. Prosveschenie, 16 (2012), 214-227.