23 citations · 35 across the 15 of their papers we have counts for
6 papers · 2 filters
Inner product space with no ortho-normal basis without choice
Saharon Shelah
We prove in ZF that there is an inner product space, in fact, nicely definable with no orthonormal basis.
Large weight does not yield an irreducible base
Saharon Shelah
Answering a question of Juhasz, Soukup and Szentmiklóssy we show that it is consistent that some first countable space of uncountable weight does not contain an uncountable subspac…
Hereditary Zero-One Laws for Graphs
Mor Doron, Saharon Shelah
We consider the random graph M^n_{\bar{p}} on the set [n], were the probability of {x,y} being an edge is p_{|x-y|}, and \bar{p}=(p_1,p_2,p_3,...) is a series of probabilities. We…
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…