Exact saturation in simple and NIP theories
2017 ◽
Vol 17
(01)
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pp. 1750001
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A theory [Formula: see text] is said to have exact saturation at a singular cardinal [Formula: see text] if it has a [Formula: see text]-saturated model which is not [Formula: see text]-saturated. We show, under some set-theoretic assumptions, that any simple theory has exact saturation. Also, an NIP theory has exact saturation if and only if it is not distal. This gives a new characterization of distality.
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1974 ◽
Vol 32
◽
pp. 254-255
1983 ◽
Vol 41
◽
pp. 270-271
1973 ◽
Vol 31
◽
pp. 144-145
1973 ◽
Vol 31
◽
pp. 132-133
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1983 ◽
Vol 41
◽
pp. 194-195
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1983 ◽
Vol 41
◽
pp. 160-161