39 citations · 75 across the 4 of their papers we have counts for
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Lovely pairs of models: the non first order case
Itaï Ben Yaacov
We prove that for every simple theory (or even simple thick compact abstract theory) there is a (unique) compact abstract theory $T^\fP$ whose saturated models are the lovely p…
On supersimplicity and lovely pairs of cats
Itaï Ben Yaacov
We prove that the definition of supersimplicity in metric structures from \cite{pezz:Morley} is equivalent to an \textit{a priori} stronger variant. This stronger variant is then u…
Topometric spaces and perturbations of metric structures
Itaï Ben Yaacov
We develop the general theory of \emph{topometric spaces}, i.e., topological spaces equipped with a well-behaved lower semi-continuous metric function. Spaces of global and local t…
Modular functionals and perturbations of Nakano spaces
Itaï Ben Yaacov
We settle several questions regarding the model theory of Nakano spaces left open by the PhD thesis of Pedro Poitevin \cite{Poitevin:PhD}. We start by studying isometric Banach lat…