Multi-dimensionality

Saharon Shelah

doi:10.1007/BF02775792

Multi-dimensionality

Saharon Shelah^*

^*Corresponding author for this work

Einstein Institute of Mathematics

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

1 Scopus citations

Abstract

We prove that if T is stable, not multi-dimensional theory, then there is an infinite indiscernible set orthogonal to the empty set. This completes the proof that if א_α=א_•T•^α >א≥_Kr(T), then T has ≥2^•α-β• non-isomorphic א_β models of cardinality א_α.

Original language	English
Pages (from-to)	281-288
Number of pages	8
Journal	Israel Journal of Mathematics
Volume	74
Issue number	2-3
DOIs	https://doi.org/10.1007/BF02775792
State	Published - Oct 1991

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abstract = "We prove that if T is stable, not multi-dimensional theory, then there is an infinite indiscernible set orthogonal to the empty set. This completes the proof that if אα=א •T• α >א≥Kr(T), then T has ≥2•α-β• non-isomorphic אβ models of cardinality אα.",

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Multi-dimensionality

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