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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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