7 citations · 17 across the 7 of their papers we have counts for
8 papers
On positive local combinatorial dividing-lines in model theory
Vincent Guingona, Cameron Donnay Hill
We introduce the notion of positive local combinatorial dividing-lines in model theory. We show these are equivalently characterized by indecomposable algebraically trivial Fraisse…
Characterizing Model-Theoretic Dividing Lines via Collapse of Generalized Indiscernibles
Vincent Guingona, Cameron Donnay Hill, Lynn Scow
We use the notion of collapse of generalized indiscernible sequences to classify various model theoretic dividing lines. In particular, we use collapse of n-multi-order indiscernib…
On a common generalization of Shelah's 2-rank, dp-rank, and o-minimal dimension
Vincent Guingona, Cameron Donnay Hill
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-o…
On Weak Elimination of Hyperimaginaries and its Consequences
Donald Brower, Cameron Donnay Hill
We analyze the notion of weak elimination of hyperimaginaries (WEHI) in simple theories. A key observation in the analysis is a characterization of WEHI in terms of forking depende…
The Geometry of L^k-Canonization I: Rosiness from Efficient Constructibility
Cameron Donnay Hill
We demonstrate that for the -variable theory of a finite structure (satisfying certain amalgamation conditions), if finite models of can be recovered from diagrams of fi…
Generalized Indiscernibles as Model-complete Theories
Cameron Donnay Hill
We give an almost entirely model-theoretic account of both Ramsey classes of finite structures and of generalized indiscernibles as studied in special cases in (for example) [7], […