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math.LO2025
On first order amenability
Ehud Hrushovski, Krzysztof KrupiÅski, Anand Pillay
We introduce the notion of first order amenability, as a property of a first order theory : every complete type over , in possibly infinitely many variables, extends…
math.LO2025
Compactifications of pseudofinite and pseudo-amenable groups
Gabriel Conant, Ehud Hrushovski, Anand Pillay
We first give simplified and corrected accounts of some results in \cite{PiRCP} on compactifications of pseudofinite groups. For instance, we use a classical theorem of Turing \cit…