Liang Yu

collaborators

2 papers

math.LO2026

When is $A + x A = R$

Jinhe Ye, Liang Yu, Xuanheng zhao

We show that there is an additive $F_{I ¨} $ subgroup $A$ of $R$ and $x \in R$ such that $di m_{H} (A) = \frac{1}{2}$ and $A + x A = R$ . However, if $A…

math.LO2025

On the Hausdorff dimension of maximal chains and antichains of Turing and Hyperarithmetic degrees

Sirun Song, Liang Yu

This paper investigates the Hausdorff dimension properties of chains and antichains in Turing degrees and hyperarithmetic degrees. Our main contributions are threefold: First, for…

When is A+xA=R

On the Hausdorff dimension of maximal chains and antichains of Turing and Hyperarithmetic degrees

When is $A + x A = R$