Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2020, Number 5, Pages 62–65 (Mi vmumm4356)  
This article is cited in 1 scientific paper (total in 1 paper)

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Mappings preserving relations definable by linear order

A. L. Semenovabc

a Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
b Federal Research Center "Computer Science and Control" of Russian Academy of Sciences, Moscow
c Moscow Institute of Physics and Technology (National Research University), Dolgoprudny, Moscow Region
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Abstract: The relations “between”, “cycle”, “separation” were defined through the relation of linear order in the classical paper of Edward V. Huntington. In this paper, the criteria for preserving these relations under injective mappings are obtained.
Key words: linear order, “between” relation, “cycle” relation, “separation” relation, auto-
morphisms of order structures, symbolic dynamics.
Funding agency Grant number
Russian Science Foundation 17-11-01377
Received: 06.11.2019
English version:
Moscow University Mathematics Bulletin, Moscow University Måchanics Bulletin, 2020, Volume 75, Issue 5, Pages 222–226
DOI: https://doi.org/10.3103/S0027132220050046
Bibliographic databases:
Document Type: Article
UDC: 510.362, 512.562
Language: Russian
Citation: A. L. Semenov, “Mappings preserving relations definable by linear order”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2020, no. 5, 62–65; Moscow University Mathematics Bulletin, Moscow University Måchanics Bulletin, 75:5 (2020), 222–226
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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