I. Neeman

activity

20002019

collaborators

5 papers

math.LO2019

Abraham-Rubin-Shelah Open Colorings and a Large Continuum

Thomas Gilton, Itay Neeman

We show that the Abraham-Rubin-Shelah Open Coloring Axiom is consistent with a large continuum, in particular, consistent with $2^{ℵ_{0}} = ℵ_{3}$ . This answers one of the main…

math.LO2018

Iteration of strongly $κ^{+}$ -cc forcing posets

James Cummings, Mirna Džamonja, Itay Neeman

We prove some iteration theorems for a certain class of $κ^{+}$ -cc forcing posets.

math.LO2018

Chang's Conjecture with $□_{ω_{1}, 2}$ from an $ω_{1}$ -Erdős Cardinal

Itay Neeman, John Susice

Answering a question of Sakai, we show that the existence of an $ω_{1}$ -Erdős cardinal suffices to obtain the consistency of Chang's Conjecture with $□_{ω_{1}, 2}$ . By a result o…

math.LO2010

Universally measurable sets in generic extensions

Paul Larson, Itay Neeman, Saharon Shelah

A subset of a topological space is said to be \emph{universally measurable} if it is measured by the completion of each countably additive $σ$ -finite Borel measure on the space, an…

math.LO2000

Proper forcing and $L (R)$

Itay Neeman, Jindrich Zapletal

We present two ways in which the model $L (R)$ is canonical assuming the existence of large cardinals. We show that the theory of this model, with {\em ordinal} parameters…

Abraham-Rubin-Shelah Open Colorings and a Large Continuum

Iteration of strongly κ+-cc forcing posets

Chang's Conjecture with □ω1​,2​ from an ω1​-Erdős Cardinal

Universally measurable sets in generic extensions

Proper forcing and L(R)

Iteration of strongly $κ^{+}$ -cc forcing posets

Chang's Conjecture with $□_{ω_{1}, 2}$ from an $ω_{1}$ -Erdős Cardinal

Proper forcing and $L (R)$