Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)



On $ U$-rank $ 2$ types

Author: Ludomir Newelski
Journal: Trans. Amer. Math. Soc. 344 (1994), 553-581
MSC: Primary 03C45
MathSciNet review: 1142779
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Abstract: Let T be a superstable theory with $ < {2^{{\aleph _0}}}$ countable models. We study some special types $ p \in S(\emptyset )$ of U-rank 2 called skeletal (cf. [Bu4]). We reduce an eventual version of the problem of counting isomorphism types of sets $ p(M)$ for countable M to a problem from linear algebra.

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Article copyright: © Copyright 1994 American Mathematical Society