On the structure of $$\mathrm {RCD}$$ spaces with upper curvature bounds

Abstract We develop a structure theory for $$\mathrm {RCD}$$ RCD spaces with curvature bounded above in Alexandrov sense. In particular, we show that any such space is topological manifold boundary whose interior equal to the set of regular points. Further points smooth and geodesically convex. Around there are {DC}$$ DC coordinates distance induced by continuous {BV}$$ BV Riemannian metric.