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JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2020 Number 5, Pages 62–65 (Mi vmumm4356)

This article is cited in 2 papers

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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

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.


UDC: 510.362, 512.562

Received: 06.11.2019


 English version:
Moscow University Mathematics Bulletin, Moscow University Mеchanics Bulletin, 2020, 75:5, 222–226

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© Steklov Math. Inst. of RAS, 2026