7 citations · 13 across the 8 of their papers we have counts for
10 papers
An exposition of the compactness of
Enrique Casanovas, Martin Ziegler
We give an exposition of the compactness of , for any set of regular cardinals.
More on tree properties
Enrique Casanovas, Byunghan Kim
Tree properties are introduced by Shelah, and it is well-known that a theory has TP (the tree property) if and only if it has TP or TP. In any simple theory (i.e., a theory…
Model theory of Steiner triple systems
Silvia Barbina, Enrique Casanovas
A Steiner triple system is a set together with a collection of subsets of of size 3 such that any two elements of belong to exactly one element of $\mathc…
Ample Pairs
Enrique Casanovas, Amador Martin-Pizarro, Daniel Palacin
We show that the ample degree of a stable theory with trivial forking is preserved when we consider the corresponding theory of belles paires, if it exists. This result also applie…
Universal theories and compactly expandable models
Enrique Casanovas, Saharon Shelah
Our aim is to solve a quite old question on the difference between expandability and compact expandability. Toward this, we further investigate the logic of countable cofinality.
Orbits of subsets of the monster model and geometric theories
Enrique Casanovas, Luis Jaime Corredor
Let be the monster model of a complete first-order theory . If is a subset of , following D. Zambella we consider $e(\mathbb{D})=\{\mathbb{…