324 citations · 1.7k across the 753 of their papers we have counts for
12 papers · 1 filter
kappa-bounded Exponential-Logarithmic Power Series Fields
Salma Kuhlmann, Saharon Shelah
In math.AC/9608214 it was shown that fields of generalized power series cannot admit an exponential function. In this paper, we construct fields of generalized power series with bo…
Universal graphs with a forbidden subtree
Gregory Cherlin, Saharon Shelah
We show that the problem of the existence of universal graphs with specified forbidden subgraphs can be systematically reduced to certain critical cases by a simple pruning techniq…
On DEPTH and DEPTH^+ of Boolean Algebras
Shimon Garti, Saharon Shelah
We show that the Depth^+ of an ultraproduct of Boolean Algebras, can not jump over the Depth^+ of every component by more than one cardinality. We can have, consequently, similar r…
Saccharinity
Jakob Kellner, Saharon Shelah
We present a method to iterate finitely splitting lim-sup tree forcings along non-wellfounded linear orders. We apply this method to construct a forcing (without using an inaccessi…
PCF without choice
Saharon Shelah
We mainly investigate model of set theory with restricted choice, e.g., ZF + DC + "the family of countable subsets of lambda is well ordered for every lambda" (really local version…
Disjoint Non-Free Subgoups of Abelian Groups
Andreas Blass, Saharon Shelah
Let G be an abelian group and let lambda be the smallest rank of any group whose direct sum with a free group is isomorphic to G. If lambda is uncountable, then G has lambda pairwi…