Constancy of the dimension in codimension one and locality of the unit normal on $\RCD(K,N)$ spaces Article Sidebar Submitted: Oct 6, 2021 Accepted: Apr 20, 2022 Published: Jun 6, 2022 DOI: https://doi.org/10.2422/2036-2145.202110_007 Issue 2022: Forthcoming articles Section Article Main Article Content Elia Brué Enrico Pasqualetto Daniele Semola Article Details