324 citations · 1.7k across the 753 of their papers we have counts for
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An overview of the proof in "Borel Conjecture and Dual Borel Conjecture"
Martin Goldstern, Jakob Kellner, Saharon Shelah +1
This note gives an informal overview of the proof in our paper "Borel Conjecture and Dual Borel Conjecture", see arXiv:1105.0823.
Partition Calculus and Cardinal Invariants
Shimon Garti, Saharon Shelah
We prove that the strong polarized relation of above applied simultaneously for every cardinal in the interval is consistent. We conclude that this posi…
Trivial automorphisms
Ilijas Farah, Saharon Shelah
We prove that the statement `For all Borel ideals I and J on , every isomorphism between Boolean algebras and has a continuous representation' is relatively co…
Nice aleph_1 generated non-P-points, I
Saharon Shelah
We define a family of a (non-principal) ultrafilters on N which are, in a sense, far from P-points. We first under reasonable conditions, prove its existence. In a continuation we…
Chain conditions in dependent groups
Itay Kaplan, Saharon Shelah
In this note we prove and disprove some chain conditions in type definable and definable groups in dependent, strongly dependent and strongly^{2} dependent theories.
Comparing the closed almost disjointness and dominating numbers
Dilip Raghavan, Saharon Shelah
We prove that if there is a dominating family of size , then there is are many compact subsets of whose union is a maximal almost disjoint family…