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On Schur’s conjecture in ℝ4

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References

  1. P. Brass, W. Moser, and J. Pach, Research Problems in Discrete Geometry (Springer, Berlin, 2005).

    MATH  Google Scholar 

  2. A. M. Raigorodskii, Russ. Math. Surv. 56(1), 103–139 (2001).

    Article  MATH  MathSciNet  Google Scholar 

  3. A. M. Raigorodskii, J. Math. Sci. 154, 604–623 (2008).

    Article  MATH  MathSciNet  Google Scholar 

  4. A. M. Raigorodskii, in Surveys in Contemporary Mathematics, London Math. Soc. Lect. Note Ser., No. 347 (Cambridge Univ. Press, London, 2007), pp. 202–248.

    Book  Google Scholar 

  5. K. Borsuk, Fundam. Math. 20, 177–190 (1933).

    Google Scholar 

  6. J. Kahn and G. Kalai, Bull. Am. Math. Soc. 20, 60–62 (1993).

    Article  MathSciNet  Google Scholar 

  7. V. L. Dol’nikov, Discrete Comput. Geom. 24, 293–299 (2000).

    Article  MATH  MathSciNet  Google Scholar 

  8. A. Heppes and P. Révész, Acta Math. Acad. Sci. Hung. 7, 159–162 (1956).

    Article  MATH  Google Scholar 

  9. H. Hopf and E. Pannwitz, Aufgabe Nr. 167, Jahresber. Deutsch. Math. Ver. 43, 114 (1934).

    Google Scholar 

  10. B. Grünbaum, Bull. Res. Council Israel. Sect. A 6, 77–78 (1956).

    MathSciNet  Google Scholar 

  11. A. Heppes, Acta Math. Acad. Sci. Hung. 7, 463–466 (1957).

    Article  MathSciNet  Google Scholar 

  12. S. Straszewicz, Bull. Acad. Polon. Sci. Cl. III 5, 39–40 (1957).

    MATH  MathSciNet  Google Scholar 

  13. Z. Schur, M. A. Perles, H. Martini, and Y. S. Kupitz, in Discrete and Computational Geometry (Springer, Berlin, 2003).

    Google Scholar 

  14. F. Moric and J. Pach, “Remarks on Schur’s conjecture,” www.cims.hyu.edu/~publications/schur080712.pdf.

  15. K. J. Swanepoel, Discrete Comput. Geom. 41(1), 1–27 (2009).

    Article  MATH  MathSciNet  Google Scholar 

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Authors and Affiliations

  1. Faculty of Mechanics and Mathematics, Moscow State University, Moscow, 119992, Russia

    V. V. Bulankina

  2. Moscow Institute of Physics and Technology (Technical University), Institutskii per. 9, Dolgoprudnyi, Moscow oblast, 141700, Russia

    A. B. Kupavskii & A. A. Polyanskii

Authors
  1. V. V. Bulankina
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  2. A. B. Kupavskii
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  3. A. A. Polyanskii
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Corresponding author

Correspondence to V. V. Bulankina.

Additional information

Original Russian Text © V.V. Bulankina, A.B. Kupavskii, A.A. Polyanskii, 2014, published in Doklady Akademii Nauk, 2014, Vol. 454, No. 5, pp. 507–511.

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Bulankina, V.V., Kupavskii, A.B. & Polyanskii, A.A. On Schur’s conjecture in ℝ4 . Dokl. Math. 89, 88–91 (2014). https://doi.org/10.1134/S106456241401027X

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  • DOI: https://doi.org/10.1134/S106456241401027X

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