324 citations · 1.7k across the 753 of their papers we have counts for
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The spectrum of ultraproducts of finite cardinals for an ultrafilter
Saharon Shelah
We complete the characterization of the possible spectrum of regular ultrafilters D on a set I, where the spectrum is the set of infinite cardinals which are ultraproducts of finit…
No universal group in a cardinal
Saharon Shelah
For many classes of models, there are universal members in any cardinal which "essentially satisfies GCH", i.e. , in particular for the class of a complete first or…
Forcing axioms for -complete -C.C
Saharon Shelah
We note that some form of the condition " have a -lub in " is necessary in some forcing axiom for -complete -c.c. forcing notions.…
Models of Cohen measurability
Noam Greenberg, Saharon Shelah
We show that in contrast with the Cohen version of Solovay's model, it is consistent for the continuum to be Cohen-measurable and for every function to be continuous on a non-meagr…
Many countable support iterations of proper forcings preserve Souslin trees
Heike Mildenberger, Saharon Shelah
We show that many countable support iterations of proper forcings preserve Souslin trees. We establish sufficient conditions in terms of games and we draw connections to other pres…
Symmetrically complete ordered sets, abelian groups and fields
Katarzyna, Franz-Viktor Kuhlmann, Saharon Shelah
We characterize and construct linearly ordered sets, abelian groups and fields that are {\emph symmetrically complete}, meaning that the intersection over any chain of closed bound…