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19942022
most citedAnother ordering of the ten cardinal characteristics in Cichoń's diagram

11 citations · 28 across the 15 of their papers we have counts for

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15 papers

math.LO2022

A collection of abstracts of Shelah's Papers

Saharon Shelah

These are abstracts of most of the papers up to publication no. [Sh:143] (and [Sh:217]), mostly compiled in 1980/81 with R. Grossberg. Also more details than in the originals were…

math.LO2021★ 11 cited

Kurepa trees and the failure of the Galvin property

Tom Benhamou, Shimon Garti, Saharon Shelah

We force the existence of a non-trivial -complete ultrafilter over which fails to satisfy the Galvin property. This answers a question asked by the first author and Moti Git…

math.LO2021

Usuba's principle can fail at singular cardinals

Mohammad Golshani, Saharon Shelah

We answer a question of Usuba by showing that the combinatorial principle can fail at a singular cardinal. Furthermore, can be taken to be

math.LO2017★ 11 cited

Another ordering of the ten cardinal characteristics in Cichoń's diagram

Jakob Kellner, Saharon Shelah, Anda Ramona Tanasie

It is consistent that \[ \aleph_1 < \mathrm{add}(\mathrm{Null}) < \mathrm{add}(\mathrm{Meager})= \mathfrak{b} < \mathrm{cov}(\mathrm{Null}) < \mathrm{non}(\mathrm{Meager}) < \mathr…

math.LO2015

On partial orderings having precalibre- and fragments of Martin's axiom

Joan Bagaria, Saharon Shelah

We define a countable antichain condition (ccc) property for partial orderings, weaker than precalibre-, and show that Martin's axiom restricted to the class of partial o…

math.GR2014

On the p-rank of Ext(A,B) for countable abelian groups A and B

Lutz Struengmann, Saharon Shelah

In this note we show that the p-rank of Ext(A,B) for countable torsion-free abelian groups A and B is either countable or the size of the continuum.