Countable imaginary simple unidimensional theories

Details Countable imaginary simple unidimensional theories Countable imaginary simple unidimensional theories

2009-09-27

arxiv.org/abs/0909.4946v2

Mathematics

Logic

Scientific paper

We prove that a countable simple unidimensional theory that eliminates
hyperimaginaries is supersimple. This solves a problem of Shelah in the more
general context of simple theories under weak assumptions.

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