26 citations · 34 across the 21 of their papers we have counts for
5 papers · 1 filter
The Filter Dichotomy and medial limits
Paul B. Larson
The \emph{Filter Dichotomy} says that every uniform nonmeager filter on the integers is mapped by a finite-to-one function to an ultrafilter. The consistency of this principle was…
What majority decisions are possible with possible abstaining
Paul Larson, Nick Matteo, Saharon Shelah
Suppose we are given a family of choice functions on pairs from a given finite set. The set is considered as a set of alternatives (say candidates for an office) and the functions…
Universally measurable sets in generic extensions
Paul Larson, Itay Neeman, Saharon Shelah
A subset of a topological space is said to be \emph{universally measurable} if it is measured by the completion of each countably additive -finite Borel measure on the space, an…
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…