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Literature cited

  1. V. G. Boltyanskii and P. S. Soltan, The Combinatorial Geometry of Various Classes of Convex Sets [in Russian], Shtiintsa, Kishinev (1978).

    Google Scholar 

  2. B. Grünbaum, Convex Polytopes, Wiley, New York (1967).

    Google Scholar 

  3. L. Danszer, B. Grünbaum, and V. Klee, The Helly Theorem and Its Applications [Russian translation], Mir, Moscow (1968).

    Google Scholar 

  4. J. R. Reay, “An extension of Radon's theorem,” Illinois J. Math.,12, No. 2, 184–189 (1968).

    Google Scholar 

  5. K. Borsuk, “On the k-independent subsets of the Euclidean space and of the Hilbert space,” Bull. Acad. Polon. Sci., Cl. III,5, No. 4, 351–356 (1957).

    Google Scholar 

  6. V. G. Boltyanskii, S. S. Ryshkov, and Yu. A. Shashkin, “On k-regular embeddings and their applications to the theory of approximation of functions,” Usp. Mat. Nauk,15, No. 6, 125–132 (1960).

    Google Scholar 

  7. J. Eckhoff, “On a class of convex polytopes,” Israel J. Math.,23, Nos. 3–4, 332–336 (1976).

    Google Scholar 

  8. I. V. Proskuryakov, “On a property of an n-dimensional affine space connected with the Helly theorem,” Usp. Mat. Nauk,14, No. 1, 219–222 (1959).

    Google Scholar 

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Translated from Matematicheskie Zametki, Vol. 31, No. 1, pp. 127–138, January, 1982.

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Gusak, I.Y. Sets of finite order and (2, k)-divisibility. Mathematical Notes of the Academy of Sciences of the USSR 31, 64–70 (1982). https://doi.org/10.1007/BF01146271

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  • DOI: https://doi.org/10.1007/BF01146271

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