Xuchao Yao

most citedMargulis lemma and Hurewicz fibration Theorem on Alexandrov spaces

8 citations · 8 across the 2 of their papers we have counts for

collaborators

2 papers

math.DG2020

A Generalized $π_{2}$ -Diffeomorphism Finiteness Theorem

Xiaochun Rong, Xuchao Yao

The $π_{2}$ -diffeomorphism finiteness result (\cite{FR1,2}, \cite{PT}) asserts that the diffeomorphic types of compact $n$ -manifolds $M$ with vanishing first and second homotopy grou…

math.DG2019★ 8 cited

Margulis lemma and Hurewicz fibration Theorem on Alexandrov spaces

Shicheng Xu, Xuchao Yao

We prove the generalized Margulis lemma with a uniform index bound on an Alexandrov $n$ -space $X$ with curvature bounded below, i.e., small loops at $p \in X$ generate a subgroup of…

A Generalized π2​-Diffeomorphism Finiteness Theorem

Margulis lemma and Hurewicz fibration Theorem on Alexandrov spaces

A Generalized $π_{2}$ -Diffeomorphism Finiteness Theorem