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Shtan'ko, Mikhail Anatol'evich

Total publications: 56 (45)
in MathSciNet: 41 (39)
in zbMATH: 35 (33)
in Web of Science: 15 (14)
in Scopus: 18 (17)
Cited articles: 27
Citations: 192

Number of views:
This page:3769
Abstract pages:12606
Full texts:6202
References:932
Doctor of physico-mathematical sciences
E-mail:

Subject:

Geometric topology, including manifolds; polyhedra; compacta; combinatorics on manifolds; combinatorial geometry.


https://www.mathnet.ru/eng/person8892
List of publications on Google Scholar
https://zbmath.org/authors/?q=ai:shtanko.m-a
https://mathscinet.ams.org/mathscinet/MRAuthorID/221369
https://elibrary.ru/author_items.asp?authorid=4569

Full list of publications:
| scientific publications | by years | by types | by times cited | common list |


Citations (Crossref Cited-By Service + Math-Net.Ru)

Articles

1. M. A. Shtan'ko, “To the Markov theorem on algorithmic nonrecognizability of manifolds”, J. Math. Sci., 146:1 (2007), 5622–5623  mathnet  crossref  mathscinet  zmath  elib  elib  scopus
2. M. A. Shtan'ko, “Markov's theorem and algorithmically non-recognizable combinatorial manifolds”, Izv. Math., 68:1 (2004), 205–221  mathnet  crossref  crossref  mathscinet  zmath  isi  scopus
3. M. A. Shtan'ko, “Classical Analogues of Embedding Dimension: Inductive Embedding Dimension”, Proc. Steklov Inst. Math., 247 (2004), 269–271  mathnet  mathscinet  zmath
4. N. P. Dolbilin, Yu. M. Zinoviev, A. S. Mishchenko, M. A. Shtan'ko, M. I. Shtogrin, “The two-dimensional Ising model and the Kac–Ward determinant”, Izv. Math., 63:4 (1999), 707–727  mathnet  crossref  crossref  mathscinet  zmath  isi  scopus
5. N. P. Dolbilin, M. A. Shtan'ko, M. I. Shtogrin, “Rigidity of a quadrillage of the torus”, Russian Math. Surveys, 54:4 (1999), 839–840  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
6. N. P. Dolbilin, Yu. M. Zinoviev, A. S. Mishchenko, M. A. Shtan'ko, M. I. Shtogrin, “The Kac–Ward Determinant”, Proc. Steklov Inst. Math., 225 (1999), 165–182  mathnet  mathscinet  zmath
7. N. P. Dolbilin, Yu. M. Zinoviev, M. A. Shtan'ko, M. I. Shtogrin, “The Kac–Ward combinatorial method”, Russian Math. Surveys, 53:6 (1998), 1346–1347  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  scopus
8. N. P. Dolbilin, M. A. Shtanko, M. I. Shtogrin, “Kubicheskie mnogoobraziya v pravilnykh reshetkakh”, Sbornik trudov seminara po diskretnoi matematike i ee prilozheniyam (Moskva, 2–4 fevralya 1993 g.), Izd-vo MGU, Moskva, 1998, 180–182
9. M. A. Shtanko, M. I. Shtogrin, “O spravedlivosti dlya malykh vesov “gipotezy neotritsatelnosti” signatury retsikla v kvadratnoi reshetke”, Sbornik trudov seminara po diskretnoi matematike i ee prilozheniyam (Moskva, 2–4 fevralya 1993 g.), Izd-vo MGU, Mosvka, 1998, 199–200
10. N. P. Dolbilin, M. A. Stan'ko, M. I. Stogrin, “Nonbendability of a division of a sphere into squares”, Soviet Math. Dokl., 55:3 (1997), 385–387  mathnet  mathscinet  zmath  isi
11. N. P. Dolbilin, Yu. M. Zinoviev, A. S. Mishchenko, M. A. Shtan'ko, M. I. Shtogrin, “Homological Properties of Dimer Configurations for Lattices on Surfaces”, Funct. Anal. Appl., 30:3 (1996), 163–173  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  scopus
12. N. P. Dolbilin, M. A. Shtan'ko, M. I. Shtogrin, “On rigidity of polyhedral spheres with even-angle faces”, Russian Math. Surveys, 51:3 (1996), 543–544  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  scopus
13. N. P. Dolbilin, M. A. Shtan'ko, M. I. Shtogrin, “Rigidity of zonohedra”, Russian Math. Surveys, 51:2 (1996), 326–328  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  scopus
14. N. P. Dolbilin, M. A. Stan'ko, M. I. Stogrin, “New Classes of Rigid Polyhedra”, An International Conference on Packing, Covering and Tilings, 3rd Geometry Festival (Budapest, July 29 – August 1, 1996), Institute of Math., Budapest, 1996, 1
15. N. P. Dolbilin, M. A. Shtan'ko, M. I. Shtogrin, “Extremality of the Bricard Octahedra”, Topology and Applications, International Topology Conference dedicated to P. S. Alexandroff's 100th Birthday (Moscow, May 27–31, 1996), Phasis, Moscow, 1996, 179–180
16. N. P. Dolbilin, M. A. Stan'ko, M. I. Stogrin, “Rigidity of quadrillages of the sphere”, Mezhdunarodnaya konferentsiya po geometrii “v tselom”, Tezisy dokladov (Cherkassy, 1995), Cherkasskii inzhenerno-tekhnologicheskii institut, Cherkassy, 1995, 22–23
17. N. P. Dolbilin, M. A. Shtan'ko, M. I. Shtogrin, “Cubic manifolds in lattices”, Russian Acad. Sci. Izv. Math., 44:2 (1995), 301–313  mathnet  crossref  mathscinet  zmath  adsnasa  isi  scopus
18. M. A. Shtan'ko, M. I. Shtogrin, “On the embedding of cubic manifolds and complexes in a cubic lattice”, Russian Math. Surveys, 47:1 (1992), 267–268  mathnet  crossref  mathscinet  zmath  adsnasa  isi  scopus
19. N. P. Dolbilin, M. A. Shtan'ko, M. I. Shtogrin, “Quadrillages and parametrizations of lattice cycles”, Proc. Steklov Inst. Math., 193 (1993), 117–123  mathnet  mathscinet  zmath
20. N. P. Dolbilin, M. A. Shtan'ko, M. I. Shtogrin, “Quadrillages and parametrizations of lattice cycles”, Proc. Steklov Inst. Math., 196 (1992), 73–93  mathnet  mathscinet  zmath
21. N. P. Dolbilin, M. A. Shtan'ko, M. I. Shtogrin, “Combinatorial questions of the two-dimensional Ising model”, Proc. Steklov Inst. Math., 196 (1992), 57–72  mathnet  mathscinet  zmath
22. N. P. Dolbilin, M. A. Shtan'ko, M. I. Shtogrin, “The problem of parametrization of cycles modulo 2 in a three-dimensional cubic lattice”, Math. USSR-Izv., 32:2 (1989), 359–383  mathnet  crossref  mathscinet  zmath  isi  scopus
23. N. P. Dolbilin, A. G. Sedrakyan, M. A. Shtan'ko, M. I. Shtogrin, “A topology for the family of parametrizations of two-dimensional cycles arising in the three-dimensional Ising model”, Soviet Math. Dokl., 36:1 (1988), 11–15  mathnet  mathscinet  zmath  isi
24. N. P. Dolbilin, M. A. Štanko, M. I. Štogrin, “Quadrillages and parametrizations of lattice cycles”, Baku International Topology Conference (Baku, 3–8 October 1987), Institute of Math., Baku, 1987, 104
25. N. P. Dolbilin, M. A. Shtan'ko, M. I. Shtogrin, “Cubic subcomplexes in regular lattices”, Soviet Math. Dokl., 34, 3 (1987), 467–469  mathnet  mathscinet  zmath  isi
26. M. A. Shtan'ko, “Foundation hypothesis for polyhedra”, Math. Notes, 73:5 (1985), 426–428  mathnet  crossref  mathscinet  zmath  elib  scopus
27. M. A. Shtan'ko, “Nonexistence of locally flat approximations in codimension two”, J. Soviet Math., 19:3 (1982), 1273–1278  mathnet  crossref  mathscinet  zmath  scopus
28. M. A. Shtan'ko, “On some unsolved problems in the topology of low-dimensional manifolds”, Soviet Math. Dokl., 19 (1978), 1109–1112  mathnet  mathscinet  mathscinet  zmath
29. M. A. Shtan'ko, “Embedding compacta in Euclidean space of dimension $5$, $4$ and $3$”, Math. USSR-Sb., 28:4 (1976), 563–569  mathnet  crossref  mathscinet  zmath  isi  scopus
30. M. A. Shtan'ko, “Approximation of imbeddings of manifolds in codimension one”, Math. USSR-Sb., 23:3 (1974), 456–466  mathnet  crossref  mathscinet  zmath  scopus
31. M. A. Shtan'ko, “Approximation of compacta in $E^n$ in codimension greater than two”, Math. USSR-Sb., 19:4 (1973), 615–626  mathnet  crossref  mathscinet  zmath  scopus
32. M. A. Štanko, “Even surgeries in 3-manifolds”, Proc. VI Topological Conference of Soviet Union (Tbilisi, October 2–7, 1972), Math. Institute, Tbilisi, 1972, 133
33. M. A. Štanko, “Solution to Menger problem in the class of compacts”, Soviet Math. Dokl., 12 (1971), 1846–1849  mathnet  mathscinet  mathscinet  zmath
34. M. A. Štanko, “Approximation of the imbedding of compacts in a codidensiona larger than two”, Soviet Math. Dokl., 12 (1971), 906–909  mathnet  mathscinet  mathscinet  zmath
35. M. A. Shtan'ko, “The embedding of compacta in Euclidean space”, Math. USSR-Sb., 12:2 (1970), 234–254  mathnet  crossref  mathscinet  zmath  scopus
36. M. A. Štanko, “The imbedding of compacta in Euclidean space”, Soviet Math. Dokl., 10 (1969), 758–761  mathnet  mathscinet  mathscinet  zmath
37. M. A. Shtan'ko, “Imbedding of tree-like compacta in $E^3$”, Math. USSR-Sb., 4:2 (1968), 191–202  mathnet  crossref  mathscinet  zmath
38. M. A. Shtan'ko, “Imbedding treelike compacta in $E^3$”, Soviet Math. Dokl., 7 (1966), 933–935  mathnet  mathscinet  mathscinet  zmath
39. M. A. Shtanko, “Kontinuumy, obladayuschie svoistvom nepodvizhnykh tochek”, DAN SSSR, 154:6 (1964), 1291–1293  mathnet  mathscinet  mathscinet  zmath
40. M. A. Shtan'ko, “The space of relative distances”, Uspekhi Mat. Nauk, 18:5(113) (1963), 213–218  mathnet  mathscinet  zmath

Thesis

41. M. A. Shtanko, Razmernost vlozheniya i approksimatsiya kompaktov. Reshenie zadachi Mengera, Diss. … dokt. fiz.-matem. nauk, MIAN SSSR, Moskva, 1982
42. M. A. Shtanko, Razmernost vlozheniya i approksimatsiya kompaktov. Reshenie zadachi Mengera, Avtoreferat doktorskoi dissertatsii, MIAN SSSR, Moskva, 1982
43. M. A. Shtanko, Vlozhenie kompaetov v evklidovo prostranstvo, Diss. … kand. fiz.-matem. nauk, MGU, Moskva, 1969
44. M. A. Shtanko, Vlozhenie kompaktov v evklidovo prostranstvo, Avtoreferat kandidatskoi dissertatsii, MGU, Moskva, 1969

Preprints

45. N. P. Dolbilin, Yu. M. Zinoviev, A. S. Mishchenko, M. A. Shtanko, M. I. Shtogrin, Homological Properties of Dimer Configurations for Lattice on Surfaces, December 14, 1995, The Fields Institute, Ontario, 1995 , 14 pp.  mathscinet

Popular science or education materials

46. M. A. Shtanko, “Topologiya vlozhenii”, Matematicheskaya entsiklopediya, 5 (1985), 400–402
47. M. A. Shtanko, “Topologiya mnogoobrazii”, Matematicheskaya entsiklopediya, 5 (1985), 402–404
48. M. A. Shtanko, “Pontryagina invariant”, Matematicheskaya entsiklopediya, 4 (1984), 483
49. M. A. Shtanko, “Dikoe vlozhenie”, Matematicheskaya entsiklopediya, 2 (1979), 138
50. M. A. Shtanko, “Drevovidnoe mnogoobrazie”, Matematicheskaya entsiklopediya, 2 (1979), 379–381
51. M. A. Shtanko, “Izotopiya”, Matematicheskaya entsiklopediya, 2 (1979), 519–521
52. M. A. Shtanko, “Kervera invariant”, Matematicheskaya entsiklopediya, 2 (1979), 847–849
53. M. A. Shtanko, “Kervera–Milnora invariant”, Matematicheskaya entsiklopediya, 2 (1979), 849

Information matherials

54. M. A. Shtan'ko, “VII All-Union topological conference”, Uspekhi Mat. Nauk, 33:3(201) (1978), 213–215  mathnet

Personalia

55. S. I. Adian, A. A. Mal'tsev, E. V. Sandrakova, A. B. Sosinskii, A. V. Chernavskii, M. A. Shtan'ko, “Lyudmila Vsevolodovna Keldysh (on the centenary of her birth)”, Russian Math. Surveys, 60:4 (2005), 581–588  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
56. P. S. Aleksandrov, A. B. Sosinskii, A. V. Chernavskii, M. A. Shtan'ko, “Lyudmila Vsevolodovna Keldysh (on the occasion of her seventieth birthday)”, Russian Math. Surveys, 29:4 (1974), 155–161  mathnet  crossref  mathscinet  zmath  adsnasa  scopus

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