T-height in weakly o-minimal structures
Tyne, James
J. Symbolic Logic, Tome 71 (2006) no. 1, p. 747-762 / Harvested from Project Euclid
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Given a weakly o-minimal theory T, the T-height of an element of a model of T is defined as a means of classifying the order of magnitude of the element. If T satisfies some easily met technical conditions, then this classification is coarse enough for a Wilkie-type inequality: given a set of elements of a model of T, each of which has a different T-height, the cardinality of this set is at most 1 plus the minimum cardinality of a set that generates the structure.
Publié le : 2006-09-14
Classification:  
@article{1154698574,
     author = {Tyne, James},
     title = {T-height in weakly o-minimal structures},
     journal = {J. Symbolic Logic},
     volume = {71},
     number = {1},
     year = {2006},
     pages = { 747-762},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1154698574}
}

Tyne, James. T-height in weakly o-minimal structures. J. Symbolic Logic, Tome 71 (2006) no. 1, pp.  747-762. http://gdmltest.u-ga.fr/item/1154698574/