24 citations · 117 across the 105 of their papers we have counts for
28 papers · 1 filter
Large localizations of finite simple groups
Ruediger Goebel, Jose L. Rodriguez, Saharon Shelah
A group homomorphism eta:H-->G is called a localization of H if every homomorphism phi:H-->G can be `extended uniquely' to a homomorphism Phi:G-->G in the sense that Phi eta=phi. L…
A continuation of [DjSh:691]
Saharon Shelah
We continue to investigate club guessing (see [Sh:g, Ch III] and [Sh:e, Ch VI]), continuing Dzamonja and Shelah [DjSh:691]
On a question of Grinblat
Saharon Shelah
We prove the consistency of the following statement: for some kappa<2^{aleph_0}, there is a kappa-complete ideal on kappa such that the Boolean algebra P(kappa)/I is sigma-centered…
The number of L_{infty,kappa}-equivalent non-isomorphic models for kappa weakly compact
Saharon Shelah, Pauli Väisänen
For a cardinal kappa and a model M of cardinality kappa let No(M) denote the number of non-isomorphic models of cardinality kappa which are L_{infty,kappa}--equivalent to M. In [Sh…
On equivalence relations Sigma_1^1-definable over H(kappa)
Saharon Shelah, Pauli Väisänen
Let kappa be an uncountable regular cardinal. Call an equivalence relation on functions from kappa into 2 Sigma_1^1-definable over H(kappa) if there is a first order sentence F and…
On the weak Freese-Nation property of complete Boolean algebras
Sakaé Fuchino, Stefan Geschke, Saharon Shelah +1
The following results are proved: (a) In a model obtained by adding aleph_2 Cohen reals, there is always a c.c.c. complete Boolean algebra without the weak Freese-Nation property.…