7 citations · 12 across the 12 of their papers we have counts for
4 papers · 1 filter
Canonical forests in directed families
Joseph Flenner, Vincent Guingona
Two uniqueness results on representations of sets constructible in a directed family of sets are given. In the unpackable case, swiss cheese decompositions are unique. In the packa…
On VC-minimal theories and variants
Vincent Guingona, Michael C. Laskowski
In this paper, we study VC-minimal theories and explore related concepts. We first define the notion of convex orderablility and show that this lies strictly between VC-minimality…
Definability of types over finite partial order indiscernibles
Vincent Guingona
In this paper, we show that a partitioned formula ϕis dependent if and only if ϕhas uniform definability of types over finite partial order indiscernibles. This generalizes our res…
On VC-density over indiscernible sequences
Vincent Guingona, Cameron Donnay Hill
In this paper, we study VC-density over indiscernible sequences (denoted VC_ind-density). We answer an open question in [1], showing that VC_ind-density is always integer valued. W…