3 papers
math.LO2006
Model theoretic stability and categoricity for complete metric spaces
Saharon Shelah, Alex Usvyatsov
We deal with the systematic development of stability for the context of approximate elementary submodels of a monster metric space, which is not far, but still very distinct from t…
math.LO2004
More on SOP_1 and SOP_2
Saharon Shelah, Alex Usvyatsov
This paper continues math.LO/0009087. We present a rank function for NSOP_1 theories and give an example of a theory which is NSOP_1 but not simple. We also investigate the connect…
math.LO2003
Banach spaces and groups - order properties and universal models
Saharon Shelah, Alex Usvyatsov
We deal with two natural examples of almost-elementary classes: the class of all Banach spaces (over R or C) and the class of all groups. We show both of these classes do not have…