Semi-local simple connectedness of non-collapsing Ricci limit spaces

Jiayin Pan, Guofang Wei

Let $X$ be a non-collapsing Ricci limit space and let $x\in X$. We show that for any $\epsilon >0$, there is $r>0$ such that every loop in $B_t(x)$ is contractible in $B_{(1+\epsilon )t}(x)$, wher…