The Globalization Theorem for CD(K,N) on locally finite Spaces

We establish the local-to-global property of the synthetic curvature-dimension condition for essentially non-branching locally finite metric-measure spaces, extending the work [F. Cavalletti, E. Milman $\mathit{\text{Invent.}}\mathit{\text{Math.}}$ 226 (2021), no. 1, 1-137].