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Matematicheskie Trudy, 2007, Volume 10, Number 1, Pages 154–163 (Mi mt33)  

This article is cited in 4 scientific papers (total in 4 papers)

Small Extensions of Models of $o$-Minimal Theories and Absolute Homogeneity

K. Zh. Kudaibergenov

Kazakhstan Institute of Management, Economics and Strategic Research
Full-text PDF (184 kB) Citations (4)
References:
Abstract: We obtain some results on existence of small extensions of models of weakly $o$-minimal atomic theories. In particular, we find a sharp upper estimate for the Hanf number of such a theory for omitting an arbitrary family of pure types. We also find a sharp upper estimate for cardinalities of weakly $o$-minimal absolutely homogeneous models and a sufficient condition for absolute homogeneity.
Key words: weakly $o$-minimal theory, small extension of a model, homogeneous model.
Received: 06.09.2006
English version:
Siberian Advances in Mathematics, 2008, Volume 18, Issue 1, Pages 118–123
DOI: https://doi.org/10.3103/S1055134408020053
Bibliographic databases:
UDC: 510.67
Language: Russian
Citation: K. Zh. Kudaibergenov, “Small Extensions of Models of $o$-Minimal Theories and Absolute Homogeneity”, Mat. Tr., 10:1 (2007), 154–163; Siberian Adv. Math., 18:1 (2008), 118–123
Citation in format AMSBIB
\Bibitem{Kud07}
\by K.~Zh.~Kudaibergenov
\paper Small Extensions of Models of $o$-Minimal Theories and Absolute Homogeneity
\jour Mat. Tr.
\yr 2007
\vol 10
\issue 1
\pages 154--163
\mathnet{http://mi.mathnet.ru/mt33}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2485370}
\transl
\jour Siberian Adv. Math.
\yr 2008
\vol 18
\issue 1
\pages 118--123
\crossref{https://doi.org/10.3103/S1055134408020053}
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  • https://www.mathnet.ru/eng/mt/v10/i1/p154
  • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математические труды Siberian Advances in Mathematics
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    Abstract page:270
    Full-text PDF :94
    References:46
    First page:1
     
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