Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2015, Number 6, Pages 42–45 (Mi vmumm281)  
This article is cited in 1 scientific paper (total in 1 paper)

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The functions that do not change types of minimal fillings

S. Yu. Lipatov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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Abstract: It is proved that a function measuring distances in metric spaces and preserving the types of their minimal fillings has the form $f(x)=kx+b$. It is sufficient to assume in this case that the types of fillings are preserved for spaces consisting of not more than five points.
Key words: minimal fillings, finite metric spaces.
Funding agency Grant number
Russian Foundation for Basic Research 13-01-00664а
Ministry of Education and Science of the Russian Federation НШ-81.2014.1
Received: 29.09.2014
English version:
Moscow University Mathematics Bulletin, 2015, Volume 70, Issue 6, Pages 267–269
DOI: https://doi.org/10.3103/S0027132215060054
Bibliographic databases:
Document Type: Article
UDC: 514
Language: Russian
Citation: S. Yu. Lipatov, “The functions that do not change types of minimal fillings”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2015, no. 6, 42–45; Moscow University Mathematics Bulletin, 70:6 (2015), 267–269
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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