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The aim of this paper is threefold. We first prove that, on$\mathrm{RCD}(K,N)$ spaces, the boundary measure of any set with finiteperimeter is concentrated on the $n$-regular set $\mathcal{R}_n$, where $n\leN$ is the essential dimension of the space. After, we discuss localizationproperties of the unit normal providing representation formulae for theperimeter measure of intersections and unions of sets with finite perimeter.Finally, we study Gauss-Green formulae for essentially bounded divergencemeasure vector fields, sharpening the analysis in \cite{BuffaComiMiranda19}.\\These tools are fundamental for the development of a regularity theory forlocal perimeter minimizers on $\mathrm{RCD}(K,N)$ spaces in\cite{MondinoSemola21}.

Constancy of the dimension in codimension one and locality of the unit normal on $\mathrm{RCD}(K,N)$ spaces