324 citations · 1.7k across the 753 of their papers we have counts for
26 papers · 2 filters
Planting Kurepa trees and killing Jech-Kunen trees in a model by using one inaccessible cardinal
Renling Jin, Saharon Shelah
By an omega_1--tree we mean a tree of power omega_1 and height omega_1. Under CH and 2^{omega_1}> omega_2 we call an omega_1--tree a Jech--Kunen tree if it has kappa many branches…
Combinatorial properties of Hechler forcing
Jörg Brendle, Haim Judah, Saharon Shelah
In this work we use a notion of rank first introduced by James Baumgartner and Peter Dordal and later developed independently by the third author to show that adding a Hechler real…
Baire property and Axiom of Choice
Haim Judah, Saharon Shelah
We show that (1) If ZF is consistent then the following theory is consistent "ZF + DC(omega_{1}) + Every set of reals has Baire property" and (2) If ZF is consistent then the follo…
Pointwise compact and stable sets of measurable functions
David H. Fremlin, Saharon Shelah
In a series of papers, M.Talagrand, the second author and others investigated at length the properties and structure of pointwise compact sets of measurable functions. A number of…
-complete Souslin trees on
Menachem Kojman
We prove that , and ``there is a non reflecting stationary subset of composed of ordinals of cofinality '' imply that there is a -complete Souslin…
Non-existence of Universal Orders in Many Cardinals
Menachem Kojman, Saharon Shelah
Our theme is that not every interesting question in set theory is independent of . We give an example of a first order theory with countable which cannot have a uni…