10 citations · 52 across the 22 of their papers we have counts for
4 papers · 1 filter
Saturating the random graph with an independent family of small range
M. Malliaris, S. Shelah
Motivated by Keisler's order, a far-reaching program of understanding basic model-theoretic structure through the lens of regular ultrapowers, we prove that for a class of regular…
Model-theoretic properties of ultrafilters built by independent families of functions
M. Malliaris, S. Shelah
Our results in this paper increase the model-theoretic precision of a widely used method for building ultrafilters, and so advance the general problem of constructing ultrafilters…
Cofinality spectrum theorems in model theory, set theory and general topology
M. Malliaris, S. Shelah
We connect and solve two longstanding open problems in quite different areas: the model-theoretic question of whether is maximal in Keisler's order, and the question from s…
Constructing regular ultrafilters from a model-theoretic point of view
M. Malliaris, S. Shelah
This paper contributes to the set-theoretic side of understanding Keisler's order. We consider properties of ultrafilters which affect saturation of unstable theories: the lower co…