15 citations · 77 across the 87 of their papers we have counts for
5 papers · 1 filter
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…