High and Low Homogeneity
Kudaĭbergenov K.Z.
February 2021Pleiades journals
Siberian Advances in Mathematics
2021#31Issue 113 - 26 pp.
Abstract: We find conditions such that every λ-homogeneousmodel with small λ satisfying these conditions ishomogeneous. As a corollary, we obtain conditions guaranteeing that the following implicationholds: If T is a theory, μ >|T|, and every model of T of cardinality μ is ω1-homogeneous then every model of T of sufficiently largecardinality is homogeneous.
homogeneous model , lambda-homogeneous model , stable theory
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KIMEP University, Almaty, 050010, Kazakhstan
KIMEP University
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