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- Rutgers, The State University of New JerseyUS16 papers
- Tel Aviv UniversityIL12 papers
- Weizmann Institute of ScienceIL12 papers
- California Institute of TechnologyUS11 papers
- University of WashingtonUS11 papers
- Bar-Ilan UniversityIL10 papers
- Centre National de la Recherche ScientifiqueFR10 papers
- University of ChicagoUS10 papers
- Hungarian Academy of SciencesHU9 papers
- Universidad de SalamancaES7 papers
- Hebrew CollegeUS6 papers
- Purple Mountain ObservatoryCN6 papers
14 papers · 2 filters
The combinatorics of reasonable ultrafilters
Saharon Shelah
We are interested in generalizing part of the theory of ultrafilters on omega to larger cardinals. Here we set the scene for further investigations introducing properties of ultraf…
Hereditarily separable groups and monochromatic uniformization
Paul C. Eklof, Alan H. Mekler, Saharon Shelah
We give a combinatorial equivalent to the existence of a non-free hereditarily separable group of cardinality aleph_1. This can be used, together with a known combinatorial equival…
More on Cardinal Arithmetic
Saharon Shelah
This paper deals with variety of problems in pcf theory and infinitary combinatorics. We look at normal filters and prc, measures of the size of [lambda]^{<kappa}, pcf-inaccessibil…
The depth of ultraproducts of Boolean Algebras
Saharon Shelah
We show in ZFC, that the depth of ultraproducts of Boolean Algebras may be bigger than the ultraproduct of the depth of those Boolean Algebras.
Interpreting groups and fields in some nonelementary classes
Tapani Hyttinen, Olivier Lessmann, Saharon Shelah
This paper is concerned with extensions of geometric stability theory to some nonelementary classes. We prove the following theorem: Theorem: Let C be a large homogeneous model of…
On two problems of Erdos and Hechler: New methods in singular Madness
Menahem Kojman, Wieslaw Kubis, Saharon Shelah
For an infinite cardinal mu, MAD(mu) denotes the set of all cardinalities of nontrivial maximal almost disjoint families over mu. Erdos and Hechler proved the consistency of [mu in…