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 2 scientific papers (total in 2 papers)

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Sets in $\mathbb {R}^n$ 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 (2) English version article
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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 $\mathbb {R}^n$ 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 $\mathbb {R}^n$ 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}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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