9 citations · 22 across the 12 of their papers we have counts for
Showing 2010 · math.LOShow all
3 papers · 2 filters
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…
math.LO2010★ 6 cited
Linear Orderings and Powers of Characterizable Cardinal
Ioannis Souldatos
The current paper answers an open question of abs/1007.2426 We say that a countable model M characterizes an infinite cardinal kappa, if the Scott sentence of M has a model in card…
math.LO2010★ 3 cited
Notes on cardinals that are characterizable by a complete (Scott) sentence
Ioannis Souldatos
This is part I of a study on cardinals that are characterizable by Scott sentences. Building on [3], [6] and [1] we study which cardinals are characterizable by a Scott sentence $ϕ…