Ludomir Newelski
Abstract
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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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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.
Key concepts: Mathematics, Countable set, Isomorphism (crystallography), Rank (graph theory), Aleph, Combinatorics, Type (biology), Discrete mathematics