Improvement of the dimension bound for unweighted RCD spaces

Camillo Brena, Luca Gennaioli

We show that if $(X,d,{\mathcal{H}}^n)$ is an $RCD(K,N)$ space for some $K\in \mathbb{R}$ and $N\in [1,\infty )$, then it is also a (non-collapsed) $RCD(K,n)$ space. In other words, unw…