1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.LO2021
Non-absoluteness of Hjorth's Cardinal Characterization
Philipp Lücke, Ioannis Souldatos
In [5], Hjorth proved that for every countable ordinal , there exists a complete -sentence that has models of all cardinalities less than or equal to…
math.LO2015★ 1 cited
The Joint Embedding Property and Maximal Models
John T. Baldwin, Martin Koerwien, Ioannis Souldatos
We introduce the notion of a `pure` Abstract Elementary Class to block trivial counterexamples. We study classes of models of bipartite graphs and show: Main Theorem (cf. Theorem 3…
math.LO2010
Independently Axiomatizable L_{omega_1,omega} Theories
Greg Hjorth, Ioannis Souldatos
In partial answer to a question posed by Arnie Miller (http://www.math.wisc.edu/~miller/res/problem.pdf) and X. Caicedo, we obtain sufficient conditions for an L_{omega_1,omega} th…