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On domains with regular sections

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Ukrainian Mathematical Journal Aims and scope

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Abstract

We prove the generalized convexity of domains satisfying the condition of acyclicity of their sections by a certain continuously parametrized family of two-dimensional planes.

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References

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Authors and Affiliations

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

    Yu. B. Zelinskii

Authors
  1. Yu. B. Zelinskii
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 57, No. 10, pp. 1420–1423, October, 2005.

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Zelinskii, Y.B. On domains with regular sections. Ukr Math J 57, 1663–1666 (2005). https://doi.org/10.1007/s11253-006-0020-x

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  • DOI: https://doi.org/10.1007/s11253-006-0020-x

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