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Criterion for convexity of a domain of a Euclidean space

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Ukrainian Mathematical Journal Aims and scope

We establish an external criterion for the convexity of a domain of a Euclidean space.

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References

  1. Yu. B. Zelinskii and I. V. Momot, “On (n, m)-convex sets,” Ukr. Mat. Zh., 53, No. 3, 422–427 (2001).

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  2. E. H. Spanier, Algebraic Topology, McGraw-Hill, New York (1966).

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  3. E. V. Shchepin, “Criterion for convexity of an open set,” in: Abstracts of the Third Tiraspol Symposium on General Topology and Its Applications [in Russian], Shtiintsa, Kishenev (1973), p. 146.

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian Academy of Sciences, Kiev, Ukraine

    Yu. B. Zelinskii & I. Yu. Vygovskaya

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  1. Yu. B. Zelinskii
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  2. I. Yu. Vygovskaya
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 60, No. 5, pp. 709–711, May, 2008.

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Zelinskii, Y.B., Vygovskaya, I.Y. Criterion for convexity of a domain of a Euclidean space. Ukr Math J 60, 816–818 (2008). https://doi.org/10.1007/s11253-008-0086-8

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  • DOI: https://doi.org/10.1007/s11253-008-0086-8

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