Xuan Zhao

collaborators

3 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.LO2026

A Variant Of Chaitin's Omega function

Yuxuan Li, Shuheng Zhang, Xiaoyan Zhang +1

We investigate the continuous function $f$ defined by $x \mapsto I ¨ \leq_{L} x \sum 2^{- K (I ¨ )}$ as a variant of Chaitin's Omega from the perspective of analysis, computability, and…

math.AT2025

Cohomology of classifying spaces of rank 3 Kac-Moody groups

Ruan Yangyang, Zhao Xu-an

We represent the rational and mod $p$ cohomology groups of classifying spaces of rank 3 Kac-Moody groups by a direct sum of the invariants of Weyl groups and their quotients. As an…

When is A+xA=R

A Variant Of Chaitin's Omega function

Cohomology of classifying spaces of rank 3 Kac-Moody groups

When is $A + x A = R$