15 citations · 40 across the 44 of their papers we have counts for
44 papers
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…
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…
Consistency of "the ideal of null restricted to some A is kappa-complete not kappa^+-complete, kappa weakly inaccessible and cov(meagre)=aleph_1"
Saharon Shelah
In this note we answer the following question of Grinblat: Is it consistent that for some set X, cov(NULL restriction X)=lambda is a weakly inaccessible cardinal (so X not null of…
More on regular reduced products
Juliette Kennedy, Saharon Shelah
The authors show, by means of a finitary version square^{fin}_{lambda,D} of the combinatorial principle square^{b^*}_{lambda}, the consistency of the failure, relative to the consi…
Ultrafilters and partial products of infinite cyclic groups
Andreas Blass, Saharon Shelah
We consider, for infinite cardinals kappa and alpha <= kappa^+, the group Pi(kappa,< alpha) of sequences of integers, of length kappa, with non-zero entries in fewer than alpha pos…
On Crawley Modules
Rüdiger Göbel, Saharon Shelah
This continues recent work in a paper by Corner, Gobel and Goldsmith. A particular question was left open: Is it possible to carry over the results concerning the undecidability of…