77 citations · 203 across the 46 of their papers we have counts for
4 papers · 1 filter
Automorphism groups of finite topological rank
Itay Kaplan, Pierre Simon
We offer a criterion for showing that the automorphism group of an ultrahomogeneous structure is topologically 2-generated and even has a cyclically dense conjugacy class. We then…
On amalgamation in NTP2 theories and generically simple generics
Pierre Simon
We prove a couple of results on NTP2 theories. First, we prove an amalgamation statement and deduce from it that the Lascar distance over extension bases is bounded by 2. This impr…
Some NIP-like phenomena in NTP
Itay Kaplan, Pierre Simon
We introduce the notion of an NTP-smooth measure and prove that they exist assuming NTP. Using this, we propose a notion of distality in NTP that unfortunately do…
Boundedness and absoluteness of some dynamical invariants in model theory
Krzysztof Krupinski, Ludomir Newelski, Pierre Simon
Let be a monster model of an arbitrary theory , any tuple of bounded length of elements of , and an enumeration of all elements…