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On the Number of Elementary Submodels of an Unsuperstable Homogeneous Structure
Author(s) -
Hyttinen Tapani,
Shelah Saharon
Publication year - 1998
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.19980440307
Subject(s) - mathematics , homogeneous , pure mathematics , combinatorics
We show that if M is a stable unsuperstable homogeneous structure, then for most κ ⩽ | M |, the number of elementary submodels of M of power κ is 2 κ .