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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
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
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
Linking options:
https://www.mathnet.ru/eng/mt209 https://www.mathnet.ru/eng/mt/v14/i1/p126
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Statistics & downloads: |
Abstract page: | 347 | Full-text PDF : | 90 | References: | 48 | First page: | 5 |
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