Assaf Shani

collaborators

3 papers

math.LO2024

Generic dichotomy for homomorphisms for $E_{0}^{N}$

Assaf Shani

We prove the following dichotomy. Given an analytic equivalence relation $E$ , either $E_{0}^{N} \leq_{B} E$ or else any Borel homomorphism from $E_{0}^{N}$ to $E$ is…

math.LO2024

Intermediate models with deep failure of choice

Yair Hayut, Assaf Shani

The following question was asked by Grigorieff: Suppose $V$ is a ZFC model and $V [G]$ is a set-generic extension of $V$ . Can there be a ZF model $N$ so that $V\subset N \subset V[G…

math.LO2021

Classifying invariants for $E_{1}$ : A tail of a generic real

Assaf Shani

Let $E$ be an analytic equivalence relation on a Polish space. We introduce a framework for studying the possible "reasonable" complete classifications and the complexity of possib…

Generic dichotomy for homomorphisms for E0N​

Intermediate models with deep failure of choice

Classifying invariants for E1​: A tail of a generic real

Generic dichotomy for homomorphisms for $E_{0}^{N}$

Classifying invariants for $E_{1}$ : A tail of a generic real