Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2023, Number 1, Pages 53–55
DOI: https://doi.org/10.55959/MSU0579-9368-1-2023-1-53-55 (Mi vmumm4519) 		 
This article is cited in 3 scientific papers (total in 3 papers)

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Sets in Rn monotone path-connected with respect to some norm

E. A. Savinovaab

a Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
b Moscow Center for Fundamental and Applied Mathematics
Full-text PDF (323 kB) Citations (3)
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DOI: https://doi.org/10.55959/MSU0579-9368-1-2023-1-53-55
Abstract: Conditions on a path-connected set M in Rn that are necessary and sufficient for M to be monotone path-connected with respect to some norm are obtained.
Key words: monotone path-connectedness, m-connectedness, normed space.
Funding agency Grant number
Russian Science Foundation 22-11-00129
Received: 04.02.2022
English version:
Moscow University Mathematics Bulletin, 2023, Volume 78, Issue 1, Pages 49–51
DOI: https://doi.org/10.3103/S0027132223010084
Bibliographic databases:
Document Type: Article
UDC: 517.982.256
Language: Russian
Citation: E. A. Savinova, “Sets in Rn monotone path-connected with respect to some norm”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2023, no. 1, 53–55; Moscow University Mathematics Bulletin, 78:1 (2023), 49–51
Citation in format AMSBIB
\Bibitem{Sav23}
\by E.~A.~Savinova
\paper Sets in $\mathbb {R}^n$ monotone path-connected with respect to some norm
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2023
\issue 1
\pages 53--55
\mathnet{http://mi.mathnet.ru/vmumm4519}
\crossref{https://doi.org/10.55959/MSU0579-9368-1-2023-1-53-55}
\zmath{https://zbmath.org/?q=an:7711504}
\elib{https://elibrary.ru/item.asp?id=50317696}
\transl
\jour Moscow University Mathematics Bulletin
\yr 2023
\vol 78
\issue 1
\pages 49--51
\crossref{https://doi.org/10.3103/S0027132223010084}
Linking options:
  • https://www.mathnet.ru/eng/vmumm4519
  • https://www.mathnet.ru/eng/vmumm/y2023/i1/p53
    • This publication is cited in the following 3 articles:
    1. A. R. Alimov, I. G. Tsar'kov, “Monotone path-connected sets in geometric approximation theory and their applications”, jour, 2:2 (2024), 30  crossref
    2. A. R. Alimov, “Strogie solntsa, sostavlennye iz ploskostei”, Tr. IMM UrO RAN, 30, no. 4, 2024, 27–36  mathnet  crossref  elib
    3. A. R. Alimov, “Strict Suns Composed of Planes”, Proc. Steklov Inst. Math., 327:S1 (2024), S1  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Full-text PDF :60
    References:31
     
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