28 citations · 71 across the 8 of their papers we have counts for
8 papers · 1 filter
Big Ramsey Degrees in Ultraproducts of Finite Structures
Dana Bartošová, Mirna Džamonja, Rehana Patel +1
We develop a transfer principle of structural Ramsey theory from finite structures to ultraproducts. We show that under certain mild conditions, when a class of finite structures h…
A new perspective on semi-retractions and the Ramsey property
Dana Bartošová, Lynn Scow
We investigate the notion of a semi-retraction between two first order structures (in typically different signatures) that was introduced by the second author as a link between the…
Products of Classes of Finite Structures
Vince Guingona, Miriam Parnes, Lynn Scow
We study the preservation of certain properties under products of classes of finite structures. In particular, we examine indivisibility, definable self-similarity, the amalgamatio…
Ramsey transfer to semi-retractions
Lynn Scow
We introduce the notion of a {\it semi-retraction}. Given two structures $\A$ and $\B$, $\A$ is a semi-retraction of $\B$ if there exist quantifier-free type respecting maps $f: \B…
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…
Indiscernibles, EM-types, and Ramsey Classes of Trees
Lynn Scow
It was shown in \cite{sc12} that for a certain class of structures $\I$, $\I$-indexed indiscernible sets have the modeling property just in case the age of $\I$ is a Ramsey class.…
Tree indiscernibilities, revisited
Byunghan Kim, Hyeung-Joon Kim, Lynn Scow
We give definitions that distinguish between two notions of indiscernibility for a set $\{a_η\mid η\in \W\}$ that saw original use in \cite{sh90}, which we name \textit{$\s$-} and…
Characterization of NIP theories by ordered graph-indiscernibles
Lynn Scow
We generalize the Unstable Formula Theorem characterization of stable theories from \citep{sh78}: that a theory is stable just in case any infinite indiscernible sequence in a…