Minimal but Not Strongly Minimal Structures with Arbitrary Finite Dimensions
Ikeda, Koichiro
J. Symbolic Logic, Tome 66 (2001) no. 1, p. 117-126 / Harvested from Project Euclid
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An infinite structure is said to be minimal if each of its definable subset is finite or cofinite. Modifying Hrushovski's method we construct minimal, non strongly minimal structures with arbitrary finite dimensions. This answers negatively to a problem posed by B. I Zilber.
Publié le : 2001-03-14
Classification:  
@article{1183746362,
     author = {Ikeda, Koichiro},
     title = {Minimal but Not Strongly Minimal Structures with Arbitrary Finite Dimensions},
     journal = {J. Symbolic Logic},
     volume = {66},
     number = {1},
     year = {2001},
     pages = { 117-126},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1183746362}
}

Ikeda, Koichiro. Minimal but Not Strongly Minimal Structures with Arbitrary Finite Dimensions. J. Symbolic Logic, Tome 66 (2001) no. 1, pp.  117-126. http://gdmltest.u-ga.fr/item/1183746362/