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arxiv: 1201.5799 · v2 · pith:Q4QFICV5new · submitted 2012-01-27 · 🧮 math.LO

Witnessing dp-rank

classification 🧮 math.LO
keywords dp-rankthenwitnesseddependentindiscernibleinfinitykappaprove
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We prove that in NTP_2 theories if p is a dependent type with dp-rank >= \kappa, then this can be witnessed by indiscernible sequences of tuples satisfying p. If p has dp-rank infinity, then this can be witnessed by singletons (in any theory).

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