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Fundamentalnaya i Prikladnaya Matematika, 2014, Volume 19, Issue 4, Pages 21–91 (Mi fpm1597)  
This article is cited in 30 scientific papers (total in 30 papers)

Connectedness and other geometric properties of suns and Chebyshev sets

A. R. Alimov, I. G. Tsar'kov

Lomonosov Moscow State University
Full-text PDF (541 kB) Citations (30)
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Abstract: This survey is concerned with structural characteristics of “suns” in normed linear spaces. Special attention is paid to connectedness and monotone path-connectedness of suns. We address both direct theorems of the geometric approximation theory, in which approximative properties of sets are derived from their structural characteristics, and inverse theorems, in which from approximative characteristics of sets one derives their structural properties.
English version:
Journal of Mathematical Sciences (New York), 2016, Volume 217, Issue 6, Pages 683–730
DOI: https://doi.org/10.1007/s10958-016-3000-1
Bibliographic databases:
Document Type: Article
UDC: 517.982.256
Language: Russian
Citation: A. R. Alimov, I. G. Tsar'kov, “Connectedness and other geometric properties of suns and Chebyshev sets”, Fundam. Prikl. Mat., 19:4 (2014), 21–91; J. Math. Sci., 217:6 (2016), 683–730
Citation in format AMSBIB
\Bibitem{AliTsa14}
\by A.~R.~Alimov, I.~G.~Tsar'kov
\paper Connectedness and other geometric properties of suns and Chebyshev sets
\jour Fundam. Prikl. Mat.
\yr 2014
\vol 19
\issue 4
\pages 21--91
\mathnet{http://mi.mathnet.ru/fpm1597}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3431884}
\transl
\jour J. Math. Sci.
\yr 2016
\vol 217
\issue 6
\pages 683--730
\crossref{https://doi.org/10.1007/s10958-016-3000-1}
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  • https://www.mathnet.ru/eng/fpm/v19/i4/p21
    • This publication is cited in the following 30 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Фундаментальная и прикладная математика
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