On domains with regular sections

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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Bibliographic Details
Date:2005
Main Authors: Zelinskii, Yu. B., Зелинский, Ю. Б.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 2005
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/3696
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal