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Matematicheskie Trudy, 2011, Volume 14, Number 1, Pages 126–140 (Mi mt209)  
This article is cited in 4 scientific papers (total in 4 papers)

On the independence property of first order theories and indiscernible sequences

K. Zh. Kudaibergenov

Kazakhstan Institute of Management, Economics and Strategic Research, Almaty, Kazakhstan
Full-text PDF (235 kB) Citations (4)
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Abstract: We refute the strong version of Shelah's conjecture about models of large cardinalities, the independence property, and indiscernible sequences. We find necessary and sufficient conditions for a theory to lack the independence property and present applications of these conditions.
Key words: the independence property, indiscernible sequence, the theory of a linearly ordered set, the theory of a tree.
Received: 05.02.2010
English version:
Siberian Advances in Mathematics, 2011, Volume 21, Issue 4, Pages 282–291
DOI: https://doi.org/10.3103/S1055134411040067
Bibliographic databases:
Document Type: Article
UDC: 510.67
Language: Russian
Citation: K. Zh. Kudaibergenov, “On the independence property of first order theories and indiscernible sequences”, Mat. Tr., 14:1 (2011), 126–140; Siberian Adv. Math., 21:4 (2011), 282–291
Citation in format AMSBIB
\Bibitem{Kud11}
\by K.~Zh.~Kudaibergenov
\paper On the independence property of first order theories and indiscernible sequences
\jour Mat. Tr.
\yr 2011
\vol 14
\issue 1
\pages 126--140
\mathnet{http://mi.mathnet.ru/mt209}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2858660}
\transl
\jour Siberian Adv. Math.
\yr 2011
\vol 21
\issue 4
\pages 282--291
\crossref{https://doi.org/10.3103/S1055134411040067}
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  • https://www.mathnet.ru/eng/mt/v14/i1/p126
    • 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:347
    Full-text PDF :90
    References:48
    First page:5
     
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