Liang Yu

most citedOn the Hausdorff dimension of maximal chains and antichains of Turing and Hyperarithmetic degrees

1 citations · 1 across the 4 of their papers we have counts for

collaborators

4 papers

math.LO2025

When is $A + x A = R$

Jinhe Ye, Liang Yu, Xuanheng zhao

We show that there is an additive $F_{σ}$ 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★ 1 cited

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…

cs.LO2021

The Point-to-Set Principle and the Dimensions of Hamel Bases

Jack H. Lutz, Renrui Qi, Liang Yu

We prove that every real number in [0,1] is the Hausdorff dimension of a Hamel basis of the vector space of reals over the field of rationals. The logic of our proof is of particul…

math.LO2021

Some consequences of $TD$ and $sTD$

Yinhe Peng, Liuzhen Wu, Liang Yu

Strongly Turing determinacy, or $sTD$ , says that for any set $A$ of reals, if $\forall x \exists y \geq_{T} x (y \in A)$ , then there is a pointed set $P \subseteq A$ . We prove t…

When is A+xA=R

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

The Point-to-Set Principle and the Dimensions of Hamel Bases

Some consequences of TD and sTD

When is $A + x A = R$

Some consequences of $TD$ and $sTD$