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Finiteness of U-rank implies simplicity in homogeneous structures.
- Source :
-
Mathematical Logic Quarterly . Nov2003, Vol. 49 Issue 6, p576-578. 3p. - Publication Year :
- 2003
-
Abstract
- A (large) superstable homogeneous structure is said to be simple if every complete type over any set A has a free extension over any B ⊇ A. In this paper we give a characterization for this property in terms of U-rank. As a corollary we get that if the structure has finite U-rank, then it is simple. (© 2003 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim) [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 09425616
- Volume :
- 49
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- Mathematical Logic Quarterly
- Publication Type :
- Academic Journal
- Accession number :
- 13727404
- Full Text :
- https://doi.org/10.1002/malq.200310062