Zobrazeno 1 - 10
of 37
pro vyhledávání: '"Scow, Lynn"'
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 has finite small Ramsey degrees, under the (Generalized) Continuum Hypo
Externí odkaz:
http://arxiv.org/abs/2211.12936
Autor:
Bartošová, Dana, Scow, Lynn
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 Ramsey property and generalized indiscernible sequences. We further t
Externí odkaz:
http://arxiv.org/abs/2204.10991
We study the preservation of certain properties under products of classes of finite structures. In particular, we examine indivisibility, definable self-similarity, the amalgamation property, and the disjoint n-amalgamation property. We explore how e
Externí odkaz:
http://arxiv.org/abs/2111.08120
Publikováno v:
In Annals of Pure and Applied Logic July 2024 175(7)
Autor:
Scow, Lynn
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 $f: \B \raw \A$ and $g: \A \raw \B$ such that $f \circ g$ is an embedding. W
Externí odkaz:
http://arxiv.org/abs/1706.05558
Autor:
BARTOŠOVÁ, DANA, SCOW, LYNN
Publikováno v:
Journal of Symbolic Logic; Sep2024, Vol. 89 Issue 3, p945-979, 35p
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 indiscernibles to characterize op-dimension n; collapse of function-space indisce
Externí odkaz:
http://arxiv.org/abs/1511.07245
Autor:
Masulovic, Dragan, Scow, Lynn
It has become obvious in the recent development that the structural Ramsey property is a categorical property: it depends not only on the choice of objects, but also on the choice of morphisms involved. In this paper we explicitely put the Ramsey pro
Externí odkaz:
http://arxiv.org/abs/1506.01221
Autor:
Scow, Lynn
Publikováno v:
Notre Dame J. Formal Logic 56, no. 3 (2015), 429-447
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. We expand this known class of structures from ordered structures in a
Externí odkaz:
http://arxiv.org/abs/1208.2991
We give definitions that distinguish between two notions of indiscernibility for a set $\{a_\eta \mid \eta \in \W\}$ that saw original use in \cite{sh90}, which we name \textit{$\s$-} and \textit{$\n$-indiscernibility}. Using these definitions and de
Externí odkaz:
http://arxiv.org/abs/1111.0915