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Countable hypersimple unidimensional theories
Author(s) -
Shami Ziv
Publication year - 2011
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/jdq068
Subject(s) - countable set , simple (philosophy) , mathematics , context (archaeology) , calculus (dental) , pure mathematics , epistemology , philosophy , geography , medicine , archaeology , dentistry
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.