39 citations · 108 across the 11 of their papers we have counts for
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math.LO2008★ 39 cited
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…
math.LO2008★ 28 cited
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…
math.LO2008★ 17 cited
Continuous and Random Vapnik-Chervonenkis Classes
Itaï Ben Yaacov
We show that if is a dependent theory then so is its Keisler randomisation . In order to do this we generalise the notion of a Vapnik-Chervonenkis class to families of $[0…