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Matematicheskie Zametki, 1996, Volume 59, Issue 3, Pages 359–369
DOI: https://doi.org/10.4213/mzm1724 (Mi mzm1724) 		 
This article is cited in 6 scientific papers (total in 6 papers)

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

S. V. Znamenskii, L. N. Znamenskaya

Krasnoyarsk State University
Full-text PDF (229 kB) Citations (6) English version article
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DOI: https://doi.org/10.4213/mzm1724
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.
Received: 18.01.1995
English version:
Mathematical Notes, 1996, Volume 59, Issue 3, Pages 253–260
DOI: https://doi.org/10.1007/BF02308536
Bibliographic databases:
UDC: 517.55+513
Language: Russian
Citation: S. V. Znamenskii, L. N. Znamenskaya, “Spiral connectedness of the sections and projections of $\mathbb C$-convex sets”, Mat. Zametki, 59:3 (1996), 359–369; Math. Notes, 59:3 (1996), 253–260
Citation in format AMSBIB
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\by S.~V.~Znamenskii, L.~N.~Znamenskaya
\paper Spiral connectedness of the sections and projections of $\mathbb C$-convex sets
\jour Mat. Zametki
\yr 1996
\vol 59
\issue 3
\pages 359--369
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\crossref{https://doi.org/10.4213/mzm1724}
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\zmath{https://zbmath.org/?q=an:0898.32009}
\transl
\jour Math. Notes
\yr 1996
\vol 59
\issue 3
\pages 253--260
\crossref{https://doi.org/10.1007/BF02308536}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1996VD93600005}
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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