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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2020, Number 5, Pages 62–65
(Mi vmumm4356)
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This article is cited in 1 scientific paper (total in 1 paper)
Short notes
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
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.
Received: 06.11.2019
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
Linking options:
https://www.mathnet.ru/eng/vmumm4356 https://www.mathnet.ru/eng/vmumm/y2020/i5/p62
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Abstract page: | 90 | Full-text PDF : | 19 | References: | 19 | First page: | 8 |
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