This article is cited in 6 papers

Spiral connectedness of the sections and projections of $\mathbb C$-convex sets

S. V. Znamenskii, L. N. Znamenskaya

Krasnoyarsk State University

Abstract: The notion of structural dimension of $\mathbb C$-convex sets is introduced. The spiral connectedness of sections and projections of these sets, as well as of the complements of these sections and projections is established. Examples refining L. A. Aizenberg's well-known conjecture about the approximation of strongly linearly convex sets are presented.

UDC: 517.55+513

Received: 18.01.1995

DOI: 10.4213/mzm1724

 English version: Mathematical Notes, 1996, 59:3, 253–260

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