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Matematicheskie Zametki, 2017, Volume 101, Issue 3, Pages 413–424
DOI: https://doi.org/10.4213/mzm11094 (Mi mzm11094) 		 
This article is cited in 12 scientific papers (total in 13 papers)

Linearly Ordered Theories which are Nearly Countably Categorical

B. Sh. Kulpeshovab, S. V. Sudoplatovcde

a Institute of Mathematics and Mathematical Modeling, Ministry of Education and Science, Republic of Kazakhstan
b International Information Technology University
c Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
d Novosibirsk State Technical University
e Novosibirsk State University
Full-text PDF (519 kB) Citations (13)
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DOI: https://doi.org/10.4213/mzm11094
Abstract: The notions of almost $\omega$-categoricity and 1-local $\omega$-categoricity are studied. In particular, necessary and sufficient conditions for their equivalence under additional assumptions are found. It is proved that 1-local $\omega$-categorical theories on dense linear orders are Ehrenfeucht and that Ehrenfeucht quite o-minimal binary theories are almost $\omega$-categorical.
Keywords: linear order, almost $\omega$-categoricity, $1$-local $\omega$-categoricity, Ehrenfeucht theory, weak o-minimality, quite o-minimality, binary theory, convexity rank.
Funding agency Grant number
Ministry of Education and Science of the Republic of Kazakhstan 0830/ГФ4
Received: 07.01.2016
English version:
Mathematical Notes, 2017, Volume 101, Issue 3, Pages 475–483
DOI: https://doi.org/10.1134/S0001434617030099
Bibliographic databases:
Document Type: Article
UDC: 510.67
Language: Russian
Citation: B. Sh. Kulpeshov, S. V. Sudoplatov, “Linearly Ordered Theories which are Nearly Countably Categorical”, Mat. Zametki, 101:3 (2017), 413–424; Math. Notes, 101:3 (2017), 475–483
Citation in format AMSBIB
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    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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