${\mathrm{RCD}}^{\ast }(K,N)$ spaces are semi-locally simply connected

Jikang Wang

It was shown by Mondino-Wei that any ${\mathrm{RCD}}^{\ast }(K,N)$ space $(X,d,\mathfrak{m})$ has a universal cover. We prove that for any point $x\in X$ and $R>0$, there exists $r<R$ s…