324 citations · 1.7k across the 753 of their papers we have counts for
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Ramsey theory for highly connected monochromatic subgraphs
Jeffrey Bergfalk, Michael Hrušák, Saharon Shelah
An infinite graph is highly connected if the complement of any subgraph of smaller size is connected. We consider weaker versions of Ramsey's Theorem asserting that in any coloring…
Cardinal characteristics at aleph omega
Shimon Garti, Moti Gitik, Saharon Shelah
We prove the consistency of the statement . We show that the consistency strength of this statement is exactly a measurable cardinal so th…
On the definability of mad families of vector spaces
Haim Horowitz, Saharon Shelah
We consider the definability of mad families in vector spaces of the form where is a field of cardinality . We show that there is n…
Some Results on Polish Groups
Gianluca Paolini, Saharon Shelah
We prove that no quantifier-free formula in the language of group theory can define the -half graph in a Polish group, thus generalising some results from [6]. We then po…
Isomorphic limit ultrapowers for infinitary logic
Saharon Shelah
The logic L^1_θintroduced in [Sh:797]; it is the maximal logic below L_theta theta in which a well ordering is not definable. We investigate it for theta a compact cardinal. We pro…
On a Cardinal Invariant Related to the Haar Measure Problem
Gianluca Paolini, Saharon Shelah
In [6], given a metrizable profinite group , a cardinal invariant of the continuum was introduced, and a positive solution to the Haar Measure Problem for …