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Bogatyi Semeon Antonovich

Publications in Math-Net.Ru

  1. Contractibility of sparse clouds

    Mat. Zametki, 117:6 (2025),  839–848
  2. Chair of General Topology and Geometry

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2025, no. 1,  3–9
  3. Action of similarity transformations on families of metric spaces

    Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 223 (2023),  3–13
  4. Geometric progression stabilizer in a general metric

    Mat. Sb., 214:3 (2023),  85–105
  5. On almost-periodic points of a topological Markov chain

    Izv. RAN. Ser. Mat., 76:4 (2012),  3–26
  6. An inverse theorem on ‘economic’ maps

    Mat. Sb., 203:4 (2012),  103–118
  7. Generic planes conjecture

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2012, no. 5,  13–19
  8. The amenability of the substitution group of formal power series

    Izv. RAN. Ser. Mat., 75:2 (2011),  19–34
  9. On the group of substitutions of formal power series with integer coefficients

    Izv. RAN. Ser. Mat., 72:2 (2008),  39–64
  10. Bruijning–Nagata and Hashimoto–Hattori characteristics of covering dimension revisited

    Mat. Zametki, 79:3 (2006),  353–361
  11. On commutativity of connected groups

    Mat. Sb., 197:1 (2006),  3–24
  12. Roberts-type embeddings and conversion of transversal Tverberg's theorem

    Mat. Sb., 196:11 (2005),  33–52
  13. Banach–Mazur Compacta are Aleksandrov Compactifications of $Q$-manifolds

    Mat. Zametki, 76:1 (2004),  3–10
  14. Minimal Number of Preimages Under Maps of Surfaces

    Mat. Zametki, 75:1 (2004),  13–19
  15. On the Coincidence Points of Mappings of the Torus into a Surface

    Trudy Mat. Inst. Steklova, 247 (2004),  15–34
  16. Power means. New descriptions of a barycenter and Fermat–Torricelli points

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2004, no. 3,  7–12
  17. Isometricity of mappings preserving perimeter

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2004, no. 1,  3–11
  18. On the Wecken property for the root problem of mappings between surfaces

    Mosc. Math. J., 3:4 (2003),  1223–1245
  19. The complement $Q_E(n)$ of the point Eucl of Euclidean space in the Banach–Mazur compactum $Q(n)$ is a $Q$-manifold

    Uspekhi Mat. Nauk, 58:3(351) (2003),  185–186
  20. Topological Helly theorem

    Fundam. Prikl. Mat., 8:2 (2002),  365–405
  21. Coincidence theorems for $M$-like continua

    Uspekhi Mat. Nauk, 57:2(344) (2002),  189–190
  22. Metrically homogeneous spaces

    Uspekhi Mat. Nauk, 57:2(344) (2002),  3–22
  23. Composites of open maps

    Mat. Sb., 193:3 (2002),  3–20
  24. $k$-Regular maps into Euclidean spaces and the Borsuk–Boltyanskii problem

    Mat. Sb., 193:1 (2002),  73–82
  25. Borsuk's Conjecture, Ryshkov Obstruction, Interpolation, Chebyshev Approximation, Transversal Tverberg's Theorem, and Problems

    Trudy Mat. Inst. Steklova, 239 (2002),  63–82
  26. A common fixed point of commuting mappings of a tree

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2002, no. 6,  3–10
  27. Realization of Configurations and the Loewner Ellipsoid

    Mat. Zametki, 69:2 (2001),  171–180
  28. Affinity of volume preserving mappings

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2001, no. 6,  10–15
  29. Compact homogeneity of Uryson's universal metric space

    Uspekhi Mat. Nauk, 55:2(332) (2000),  131–132
  30. Universal homogeneous ultrametric on the space of irrational numbers

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2000, no. 6,  20–24
  31. Coincidence Theory: The Minimizing Problem

    Trudy Mat. Inst. Steklova, 225 (1999),  52–86
  32. The colored Tverberg theorem

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1999, no. 3,  14–19
  33. Uryson's decomposition and Zolotarev's theorem

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1999, no. 3,  10–14
  34. Ljusternik–Schnirelman theorem and $\beta f$

    Fundam. Prikl. Mat., 4:1 (1998),  11–38
  35. The geometry of maps into Euclidean space

    Uspekhi Mat. Nauk, 53:5(323) (1998),  27–56
  36. The Banach–Mazur compactum is not homeomorphic to the Hilbert cube

    Uspekhi Mat. Nauk, 53:1(319) (1998),  209–210
  37. Intersection of linear and convex hulls of a partition of a given $(m+2)$-point subset of $\mathbb{R}^m$

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1998, no. 6,  46–48
  38. The Banach–Mazur compactum $Q(n)$ is an absolute retract

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1998, no. 1,  11–13
  39. Obstructions to the extension of partial maps

    Mat. Zametki, 62:6 (1997),  803–812
  40. A note on the Steinlein theorem

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1997, no. 1,  32–35
  41. Cyclic systems, configuration spaces, and the Borsuk–Ulam–Munkholm–Fenn–Connett–Cohen–Lusk theorem

    Trudy Mat. Inst. Steklova, 212 (1996),  46–60
  42. On adjunction spaces of certain types of spaces

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1994, no. 6,  19–23
  43. The behaviour of the ndex of periodic points under iterations of a mapping

    Izv. Akad. Nauk SSSR Ser. Mat., 55:1 (1991),  3–31
  44. On the structure of attracting compacta

    Differ. Uravn., 25:5 (1989),  907–909
  45. Local indexes of iterates of a holomorphic map

    Funktsional. Anal. i Prilozhen., 23:1 (1989),  61–62
  46. Mapping a sphere into Euclidean space

    Mat. Zametki, 46:3 (1989),  3–8
  47. Periodic points of a mapping of a tree

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1989, no. 5,  16–18
  48. Periodic points of a map of a system of intervals

    Mat. Zametki, 43:3 (1988),  365–381
  49. Weight of bicompact retracts

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1988, no. 4,  96–97
  50. Lefschetz numbers, local indices and periodic points

    Dokl. Akad. Nauk SSSR, 291:3 (1986),  521–524
  51. Theory of retracts, and infinite-dimensional manifolds

    Itogi Nauki i Tekhniki. Ser. Algebra. Topol. Geom., 24 (1986),  195–270
  52. Topological methods in combinatorial problems

    Uspekhi Mat. Nauk, 41:6(252) (1986),  37–48
  53. Movability relative to various classes of spaces

    Mat. Zametki, 21:1 (1977),  125–132
  54. On the preservation of shapes under mappings

    Dokl. Akad. Nauk SSSR, 224:2 (1975),  261–264
  55. On the dimension theory of metrizable spaces with periodic homeomorphisms

    Mat. Sb. (N.S.), 98(140):1(9) (1975),  72–83
  56. Approximative and fundamental retracts

    Mat. Sb. (N.S.), 93(135):1 (1974),  90–102
  57. On a Vietoris theorem for shapes, inverse limits and a problem of Ju. M. Smirnov

    Dokl. Akad. Nauk SSSR, 211:4 (1973),  764–767
  58. Properties of the topological and uniform dimension in terms of rings of continuous functions

    Sibirsk. Mat. Zh., 14:2 (1973),  289–299
  59. On metric retracts

    Dokl. Akad. Nauk SSSR, 204:3 (1972),  522–524

  60. Pavel Samuilovitch Urysohn

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1999, no. 3,  3–4


© Steklov Math. Inst. of RAS, 2025