Minimal but not strongly minimal structures with arbitrary finite dimensions

Authors
Ikeda, K
Citation
K. Ikeda, Minimal but not strongly minimal structures with arbitrary finite dimensions, J SYMB LOG, 66(1), 2001, pp. 117-126
Citations number
13
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF SYMBOLIC LOGIC
ISSN journal
00224812 → ACNP
Volume
66
Issue
1
Year of publication
2001
Pages
117 - 126
Database
ISI
SICI code
0022-4812(200103)66:1<117:MBNSMS>2.0.ZU;2-A
Abstract
An infinite structure is said to be minimal if each uf its definable subset is finite or cofinite. Modifying Hrushovski's method we construct minimal, non strongly minimal structures with arbitrary Finite dimensions. This ans wers negatively to a problem posed by B. I Zilber.