Additivity of the dp-rank

By Itay Kaplan, Alf Onshuus, Alexander Usvyatsov. 2011

68 citations recorded by the source corpus.

The main result is the prove of the linearity of the dp-rank. We also prove that the study of theories of finite dp-rank cannot be reduced to the study of its dp-minimal types and discuss the possible relations between dp-rank and VC-density.

Subfields: Algebra and Number Theory, Geometry and Topology, Management Science and Operations Research

View Paper: https://www.semanticscholar.org/paper/c997cf806c9d72f9660d6dc257c64b37f0b49087