Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4661761 | Annals of Pure and Applied Logic | 2015 | 24 Pages |
Abstract
In this paper, we build a dimension theory related to Shelah's 2-rank, dp-rank, and o-minimal dimension. We call this dimension op-dimension. We exhibit the notion of the n-multi-order property, generalizing the order property, and use this to create op-rank, which generalizes 2-rank. From this we build op-dimension. We show that op-dimension bounds dp-rank, that op-dimension is sub-additive, and op-dimension generalizes o-minimal dimension in o-minimal theories.
Related Topics
Physical Sciences and Engineering
Mathematics
Logic
Authors
Vincent Guingona, Cameron Donnay Hill,