Local dp-rank and VC-density over indiscernible sequences

Details Local dp-rank and VC-density over indiscernible sequences Local dp-rank and VC-density over indiscernible sequences

2011-08-12

arxiv.org/abs/1108.2554v1

Mathematics

Logic

11 pages

Scientific paper

In this paper, we study a localized version of dp-rank and show this local version relates to the standard global dp-rank in the natural way. We also show that local dp-rank, VC-density over indiscernible sequences (VC_ind-density), and UDTFS-rank over indiscernible sequences are all identical. As a corollary, in any dp-minimal theory, the VC_ind-density of a formula is bounded by the length of its free variables.

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