TY - JOUR
T1 - A trichotomy of countable, stable, unsuperstable theories
AU - Laskowski, Michael C.
AU - Shelah, S.
PY - 2011/3
Y1 - 2011/3
N2 - Every countable, strictly stable theory either has the Dimensional Order Property (DOP), is deep, or admits an 'abelian group witness to unsuperstability'. To obtain this and other results, we develop the notion of a 'regular ideal' of formulas and study types that are minimal with respect to such an ideal.
AB - Every countable, strictly stable theory either has the Dimensional Order Property (DOP), is deep, or admits an 'abelian group witness to unsuperstability'. To obtain this and other results, we develop the notion of a 'regular ideal' of formulas and study types that are minimal with respect to such an ideal.
UR - http://www.scopus.com/inward/record.url?scp=79951849327&partnerID=8YFLogxK
U2 - 10.1090/S0002-9947-2010-05196-7
DO - 10.1090/S0002-9947-2010-05196-7
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AN - SCOPUS:79951849327
SN - 0002-9947
VL - 363
SP - 1619
EP - 1629
JO - Transactions of the American Mathematical Society
JF - Transactions of the American Mathematical Society
IS - 3
ER -