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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
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
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
Linking options:
https://www.mathnet.ru/eng/mt33 https://www.mathnet.ru/eng/mt/v10/i1/p154
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Abstract page: | 270 | Full-text PDF : | 94 | References: | 46 | First page: | 1 |
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