324 citations · 1.7k across the 753 of their papers we have counts for
9 papers · 2 filters
On projections of the tails of a power
Samuel M. Corson, Saharon Shelah
Let be an inaccessible cardinal, be a universal algebra, and be the equivalence relation on of eventual equality. From mild assumptions o…
Ramsey partitions of metric spaces
Saharon Shelah, Jonathan L. Verner
We investigate the existence of metric spaces which, for any coloring with a fixed number of colors, contain monochromatic isomorphic copies of a fixed starting space K. In the mai…
Co-Hopfian and boundedly endo-rigid mixed abelian groups
Mohsen Asgharzadeh, Mohammad Golshani, Saharon Shelah
For a given cardinal and a torsion abelian group of cardinality less than , we present, under some mild conditions (for example ), boundedly endo-rigid a…
The Halpern--Läuchli Theorem at singular cardinals and failures of weak versions
Natasha Dobrinen, Saharon Shelah
This paper continues a line of investigation of the Halpern--Läuchli Theorem at uncountable cardinals. We prove in ZFC that the Halpern--Läuchli Theorem for one tree of height …
The measuring principle and the continuum hypothesis
Mohammad Golshani, Saharon Shelah
We show that one can force the Measuring principle without adding any new reals. We also show that it is consistent with the large continuum. These results answer two famous questi…
S-spaces and large continuum
Alan Dow, Saharon Shelah
We prove that it is consistent with large values of the continuum that there are no S-spaces. We also show that we can also have that compact separable spaces of countable tightnes…