324 citations · 1.7k across the 753 of their papers we have counts for
24 papers · 2 filters
Model theoretic stability and categoricity for complete metric spaces
Saharon Shelah, Alex Usvyatsov
We deal with the systematic development of stability for the context of approximate elementary submodels of a monster metric space, which is not far, but still very distinct from t…
Two cardinal models for singular mu
Shimon Garti, Saharon Shelah
We deal here with colorings of the pair (mu^+, mu), when mu is a strong limit and singular cardinal. We show that there exists a coloring c, with no refinement. It follows, that th…
The nonstationary ideal on P_κ(lambda) for lambda singular
Pierre Matet, Saharon Shelah
Let kappa be a regular uncountable cardinal and lambda > kappa a singular strong limit cardinal. We give a new characterization of the nonstationary subsets of P_kappa (lambda) and…
Existence of EF-equivalent Non Isomorphic Models
Chanoch Havlin, Saharon Shelah
We prove the existence of pairs of models of the same cardinality lambda which are very equivalent according to EF games, but not isomorphic. We continue the paper math.LO/0404222,…
On Weak and Strong Interpolation in Algebraic Logics
Gabor Sagi, Saharon Shelah
We show that there is a restriction, or modification of the finite-variable fragments of First Order Logic in which a weak form of Craig's Interpolation Theorem holds, but a strong…
Power set modulo small, the singular of uncountable cofinality
Saharon Shelah
Let mu be singular of uncountable cofinality. If mu>2^{cf(mu)}, we prove that in P=([mu]^mu,supseteq) as a forcing notion we have a natural complete embedding of Levy(aleph_0, mu^+…