24 citations · 119 across the 107 of their papers we have counts for
8 papers · 2 filters
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…
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…