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- Rutgers, The State University of New JerseyUS23 papers
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4 papers · 2 filters
Nice infinitary logics
Saharon Shelah
Ordinary infinitary languages L_{lambda, kappa} satisfy the Interpolation Theorem only in the case lambda <= {aleph_1}, kappa = {aleph_0}, this include first order logic of course.…
Splitting stationary sets from weak forms of Choice
Paul Larson, Saharon Shelah
Working in the context of restricted forms of the Axiom of Choice, we consider the problem of splitting the ordinals below of cofinality into many stationary sets, wher…
The Stationary Set Splitting Game
Paul Larson, Saharon Shelah
The \emph{stationary set splitting game} is a game of perfect information of length between two players, \unspls and \spl, in which \unspls chooses stationarily many counta…
Generically stable and smooth measures in NIP theories
Ehud Hrushovski, Anand Pillay, Pierre Simon
We study stable like behaviour in first order theories without the independence property. We introduce generically stable measures, give characterizatiions, and show their ubiquity…