Advertisement

Topology of the convex polytopes’ manifolds, the manifold of the projective configurations of a given combinatorial type and representations of lattices

  • A. M. Vershik
Configuration Spaces
Part of the Lecture Notes in Mathematics book series (LNM, volume 1346)

Keywords

Projective Space Convex Polytopes Combinatorial Type Point Configuration Supporting Hyperplane 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [A]
    Aigner M. Combinatorial Theory., Springer, 1979.Google Scholar
  2. [B.G.P.]
    Bernstein I., Gelfand I., Ponomarev V. Uspechi Mat.Nauk, 1973, 28, N 2.Google Scholar
  3. [Bi]
    Birkhoff G. Lattice Theory, Providence, 1967.Google Scholar
  4. [Ga]
    Gabriel P., Manuscr. Math. 1972, N 6, 71–103.Google Scholar
  5. [Ge]
    Gelfand I.M., Dokl.Akad.Nauk SSSR, 1986, 288, N 2.Google Scholar
  6. [G.M]
    Gelfand I.M., MacPherson R. Adv. in Math., 1982, 44, N 3.Google Scholar
  7. [Gr]
    Grünbaum B. Convex polytopes. Interscience, 1967.Google Scholar
  8. [Ha]
    Hartshorne R. Foundations of Projective Geometry. N.Y., 1967.Google Scholar
  9. [H.C]
    Hilbert D., Cohn-Vossen S. Auschauliche Geometric., Berlin, 1932.Google Scholar
  10. [M]
    Maclane S., Amer.J.Math., 1936, 58, 236–240.MathSciNetCrossRefGoogle Scholar
  11. [MI]
    Mnev N.E. Dokl.Akad.Nauk SSSR, 1985, 283, N 6.Google Scholar
  12. [M II]
    Mnev N.E. Zap. Nauchn. Semin. LOMI, 1983, 123, 203–207.MathSciNetGoogle Scholar
  13. [V.Ch]
    Vershik A.M., Chernyakov A.G. Dokl.Akad.Nauk SSSR, 1982, 263, N 3.Google Scholar
  14. [V.S.]
    Vershik A.M., Sporyshev P.V. Zh. Vyshisl. Mat. Mat.Fiz., 1986, N 6, 813–826.Google Scholar
  15. [V]
    Viro O.Ya. Dokl.Akad.Nauk SSSR, 1985, 284, N 5.Google Scholar
  16. [W]
    Whitney H. Amer.J.Math., 1935, 57, 507–533.MathSciNetCrossRefGoogle Scholar
  17. [Gr I]
    Grünbaum B. Arrangementsand Spreads., Providence, 1972.Google Scholar

Copyright information

© Springer-Verlag 1988

Authors and Affiliations

  • A. M. Vershik
    • 1
  1. 1.Leningrad State UniversityRussia

Personalised recommendations