On the number of elementary submodels of an unsuperstable homogeneous structure

Tapani Hyttinen; Saharon Shelah

doi:10.1002/malq.19980440307

On the number of elementary submodels of an unsuperstable homogeneous structure

Tapani Hyttinen^*
, Saharon Shelah

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	354-358
Number of pages	5
Journal	Mathematical Logic Quarterly
Volume	44
Issue number	3
DOIs	https://doi.org/10.1002/malq.19980440307
State	Published - 1998

Keywords

Elementary submodel
Homogeneous structure
Stable structure
Superstable structure

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10.1002/malq.19980440307

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abstract = "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 2κ.",

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author = "Tapani Hyttinen and Saharon Shelah",

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KW - Elementary submodel

KW - Homogeneous structure

KW - Stable structure

KW - Superstable structure

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On the number of elementary submodels of an unsuperstable homogeneous structure

Abstract

Keywords

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