P∗-Combinations of Almost ω-Categorical Weakly o-Minimal Theories

B. Sh Kulpeshov, S. V. Sudoplatov

Research output: Contribution to journalArticlepeer-review

Abstract

We study P*-Combinations of Almost ω-Categorical Weakly o-Minimal Theories. One of natural questions in the study of such a combination is the question of preserving or weakening certain properties of initial theories. Earlier, criteria for Ehrenfeuchtness of P*-combinations of countably many ω-categorical ordered theories were obtained. Here we prove that if a P*-combination of countably many models of almost ω-categorical weakly o-minimal theories preserves weak o-minimality then it also preserves almost ω-categoricity.

Original languageEnglish
Article number8
Pages (from-to)743-750
Number of pages8
JournalLobachevskii Journal of Mathematics
Volume42
Issue number4
DOIs
Publication statusPublished - Apr 2021

Keywords

  • almost ω-categoricity
  • combination of structures
  • weak o-minimality

OECD FOS+WOS

  • 1.01 MATHEMATICS

State classification of scientific and technological information

  • 27 MATHEMATICS

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