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Preprint Number 363

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363. Vincent Guingona, Cameron Donnay Hill
Local dp-rank and VC-density over indiscernible sequences
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Submission date: 20 October 2011.

Abstract:

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.

Mathematics Subject Classification: 03C45

Keywords and phrases:

Full text arXiv 1108.2554: pdf, ps.


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