Xuan Zhao

most citedCohomology of classifying spaces of rank 3 Kac-Moody groups

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

collaborators

4 papers

math.LO2025

A Variant Of Chaitin's Omega function

Yuxuan Li, Shuheng Zhang, Xiaoyan Zhang +1

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

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.AT2025★ 1 cited

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…

math.AT2021

The rational cohomology groups of the classifying spaces of Kac-Moody groups

Zhao Xu-an, Gao Hongzhu, Ruan Yangyang

In this paper, we compute the rational cohomology groups of the classifying space of a simply connected Kac-Moody group of infinite type. The fundamental principle is "from finite…

A Variant Of Chaitin's Omega function

When is A+xA=R

Cohomology of classifying spaces of rank 3 Kac-Moody groups

The rational cohomology groups of the classifying spaces of Kac-Moody groups

When is $A + x A = R$