324 citations · 1.7k across the 753 of their papers we have counts for
48 papers · 1 filter
Positive partition relations for P_{kappa,lambda}
Pierre Matet, Saharon Shelah
Let kappa a regular uncountable cardinal and lambda a cardinal >kappa, and suppose lambda^{<kappa} is less than the covering number for category cov(M_{kappa,kappa}). Then (a) I_{k…
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…
Covering the Baire space by families which are not finitely dominating
Heike Mildenberger, Saharon Shelah, Boaz Tsaban
It is consistent (relative to ZFC) that the union of max{b,g} many families in the Baire space which are not finitely dominating is not dominating. In particular, it is consistent…
Constructing strongly equivalent nonisomorphic models for unsuperstable theories, Part A
Tapani Hyttinen, Saharon Shelah
We study how equivalent nonisomorphic models an unsuperstable theory can have. We measure the equivalence by Ehrenfeucht-Fraisse games.
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…