Abstract
The relations ‘‘between’’, ‘‘cycle’’, and ‘‘separation’’ were defined through the relation of linear order in the classical paper of Edward V. Huntington. In the current paper, the criteria for preserving these relations under injective mappings are obtained.
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Funding
The work is supported by the Russian Science Foundation (project no. 17-11-01377).
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Translated by E. Oborin
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Semenov, A.L. Mappings Preserving Relations Definable by Linear Order. Moscow Univ. Math. Bull. 75, 222–226 (2020). https://doi.org/10.3103/S0027132220050071
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DOI: https://doi.org/10.3103/S0027132220050071