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On Nonstructure of Elementary Submodels of an Unsuperstable Homogeneous Structure
Author(s) -
Hyttinen Tapani
Publication year - 1997
Publication title -
mathematical logic quarterly
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.473
H-Index - 28
eISSN - 1521-3870
pISSN - 0942-5616
DOI - 10.1002/malq.19970430115
Subject(s) - mathematics , cardinality (data modeling) , homogeneous , class (philosophy) , pure mathematics , discrete mathematics , combinatorics , computer science , artificial intelligence , data mining
In the first part of this paper we let M be a stable homogeneous model and we prove a nonstructure theorem for the class of all elementary submodels of M , assuming that M is ‘unsuperstable’ and has Skolem functions. In the second part we assume that M is an unstable homogeneous model of large cardinality and we prove a nonstructure theorem for the class of all elementary submodels of M .