2017
Том 69
№ 9

All Issues

On Locally Linearly Convex Domains

Zelinskii Yu. B.

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Abstract

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.

English version (Springer): Ukrainian Mathematical Journal 54 (2002), no. 2, pp 345-349.

Citation Example: Zelinskii Yu. B. On Locally Linearly Convex Domains // Ukr. Mat. Zh. - 2002. - 54, № 2. - pp. 280-284.

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