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Kuz'minykh Aleksandr Veniaminovich

Publications in Math-Net.Ru

  1. On unit bases of a Euclidean metric

    Sibirsk. Mat. Zh., 38:4 (1997),  843–846
  2. The structure of generic compact sets of a Euclidean space

    Sibirsk. Mat. Zh., 38:2 (1997),  344–350
  3. On mappings “loosening” convexity

    Sibirsk. Mat. Zh., 36:5 (1995),  1113–1118
  4. On cardinality of the intersection of graphs of continuous functions

    Sibirsk. Mat. Zh., 35:4 (1994),  830–834
  5. The inverse image of any nonextremal value of almost every continuous function has the cardinality of the continuum

    Dokl. Akad. Nauk, 331:1 (1993),  14–16
  6. Boundedly isometric but not isometric spaces

    Sibirsk. Mat. Zh., 34:3 (1993),  118–121
  7. A continuous function whose graph intersects the graph of every polynomial that has the cardinality of the continuum

    Dokl. Akad. Nauk SSSR, 317:4 (1991),  826–828
  8. A curve in $R^n$ that is homeomorphic to a straight line and that intersects every unbounded curve of bounded curvature

    Dokl. Akad. Nauk SSSR, 305:5 (1989),  1042–1045
  9. Mappings that almost preserve convexity

    Sibirsk. Mat. Zh., 29:4 (1988),  106–110
  10. Mappings that almost preserve angles

    Sibirsk. Mat. Zh., 29:4 (1988),  99–105
  11. Isometricity of mappings that almost preserve certain distances

    Sibirsk. Mat. Zh., 29:3 (1988),  87–91
  12. Mappings that almost preserve convexity in the sense of measure or category

    Sibirsk. Mat. Zh., 28:4 (1987),  116–126
  13. Mappings that preserve unit distance only in a finite number of directions

    Sibirsk. Mat. Zh., 27:1 (1986),  79–85
  14. Isometricity of domains whose boundaries are isometric in relative metrics

    Sibirsk. Mat. Zh., 26:3 (1985),  91–99
  15. Minimal conditions determining isometries and similarities

    Sibirsk. Mat. Zh., 26:2 (1985),  115–118
  16. Characterization of isometries

    Sibirsk. Mat. Zh., 25:3 (1984),  207–210
  17. Reconstructibility of a convex body from the set of its projections

    Sibirsk. Mat. Zh., 25:2 (1984),  145–150
  18. Sets with almost integral distances

    Sibirsk. Mat. Zh., 23:4 (1982),  99–102
  19. On a characteristic property of isometric and homothetic mappings

    Sibirsk. Mat. Zh., 23:3 (1982),  110–117
  20. On mappings that preserve convexity

    Sibirsk. Mat. Zh., 23:2 (1982),  112–115
  21. Sets with almost integral distances

    Dokl. Akad. Nauk SSSR, 254:6 (1980),  1329–1331
  22. On the characterization of isometric and similarity mappings

    Dokl. Akad. Nauk SSSR, 244:3 (1979),  526–528
  23. Generalization of the Darboux theorem

    Sibirsk. Mat. Zh., 20:4 (1979),  917–921
  24. Mappings preserving the distance $1$

    Sibirsk. Mat. Zh., 20:3 (1979),  597–602
  25. On integral distances

    Dokl. Akad. Nauk SSSR, 232:5 (1977),  1008–1010
  26. On a characteristic property of isometric mappings

    Dokl. Akad. Nauk SSSR, 226:1 (1976),  48–50
  27. Mappings that preserve the convexity of cones

    Sibirsk. Mat. Zh., 17:6 (1976),  1408–1411
  28. A minimal condition that determines a Lorentz transformation

    Sibirsk. Mat. Zh., 17:6 (1976),  1321–1326
  29. Mappings of families of cones

    Sibirsk. Mat. Zh., 17:4 (1976),  932–935
  30. Characterization of Lorentz transformations

    Dokl. Akad. Nauk SSSR, 225:6 (1975),  1260–1262
  31. Affineness of convex-invariant mappings

    Sibirsk. Mat. Zh., 16:6 (1975),  1198–1204
  32. The isoprojection property of the sphere

    Dokl. Akad. Nauk SSSR, 210:6 (1973),  1280–1283


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