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On Locally Linearly Convex Domains

We construct a counterexample to the hypothesis on global linear convexity of locally linearly convex domains with everywhere smooth boundary. We refine the theorem on the topological classification of linearly convex domains with smooth boundary.

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Bibliographic Details
Date:	2002
Main Authors:	Zelinskii, Yu. B., Зелинский, Ю. Б.
Format:	Article
Language:	Russian English
Published:	Institute of Mathematics, NAS of Ukraine 2002
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/4063
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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