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Higherdimensional Analogues of Csaszar's Torus

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|References

  1. A. Altshuler, Polyhedral realizations in R3 of triangulations of the torus and 2-manifolds in cyclic 4-polytopes, Discr. Math. 1, 211–238 (1971)

    Article  MathSciNet  MATH  Google Scholar 

  2. A. Altshuler, Combinatorial 3-manifolds with few vertices, J. Combin. Th. (A). 16, 165–173 (1974)

    Article  MathSciNet  MATH  Google Scholar 

  3. A. Altshuler, Neighborly 4-polytopes and neighborly combinatorial 3-manifolds with ten vertices, Can. J. Math. 29 400–420 (1977)

    Article  MathSciNet  Google Scholar 

  4. A. Altshuler, L. STEINBERG, Neighborly combinatorial 3-manifolds with 9 vertices, Discr. Math. 8, 113–137 (1974)

    Article  MathSciNet  MATH  Google Scholar 

  5. T. F. Banchoff, Tightly embedded 2-dimensional polyhedral manifolds, Amer. J. Math. 87, 462–472 (1965)

    Article  MathSciNet  MATH  Google Scholar 

  6. A. Csaszar, A polyhedron without diagonals, Acta Sci. Math. (Szeged). 13, 140–142 (1949)

    MathSciNet  MATH  Google Scholar 

  7. G. Ewald, Über stellare Äquivalenz konvexer Polytope, Resultate d. Math. 1 54–60 (1978)

    MathSciNet  MATH  Google Scholar 

  8. B. Grünbaum, Convex Polytopes, Wiley-Interscience, New York 1967

    MATH  Google Scholar 

  9. W. Kühnel, G. Lassmann, The unique 3-neighborly 4-manifold with few vertices, J. Combin. Th. (A). 35, 173–184 (1983)

    Article  MATH  Google Scholar 

  10. W. Kühnel, G. Lassmann, The rhombidodecahedral tessellation of 3-space and a particular 15-certex triangulation of the 3-dimensional torus, manuscripta math. 49, 61–77 (1984)

    Article  MathSciNet  MATH  Google Scholar 

  11. A. MÖBIUS, Gesammelte Werke, Vol. 2, Leipzig 1886

  12. C. P. Rourke, B. J. Sanderson, Introduction to piecewise-linear topology, Springer, Berlin-Heidelberg-New York 1972 (Ergebnisse der Mathematik und ihrer Grenzgebiete 69)

  13. G. C. Shephard, Subpolytopes of stack polytopes, Israel J. Math. 19, 292–296 (1974)

    Article  MathSciNet  MATH  Google Scholar 

  14. N. E. Steenrod, The classification of sphere bundles, Ann. of Math. 45, 294–311 (1944)

    Article  MathSciNet  MATH  Google Scholar 

  15. D. W. Walkup, The lower bound conjecture for 3- and 4-manifolds, Acta Math. 125, 75–107 (1970)

    Article  MathSciNet  MATH  Google Scholar 

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Kühnel, W. Higherdimensional Analogues of Csaszar's Torus. Results. Math. 9, 95–106 (1986). https://doi.org/10.1007/BF03322352

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