Distal and Non-Distal Pairs
classification
🧮 math.LO
keywords
distalo-minimalpairsstructurestheoriescertaindensedetermine
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The aim of this note is to determine whether certain non-o-minimal expansions of o-minimal theories which are known to be NIP, are also distal. We observe that while tame pairs of o-minimal structures and the real field with a discrete multiplicative subgroup have distal theories, dense pairs of o-minimal structures and related examples do not.
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