The globalization theorem for $$\textrm{CD}(K, N)$$ on locally finite spaces
Zhenhao Li
Abstract
Abstract 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 [Cavalletti and Milman in Invent Math 226(1):1–137, 2021].
Topics & Concepts
MathematicsPure mathematicsDiscrete mathematicsCombinatoricsGeometric Analysis and Curvature FlowsGeometry and complex manifoldsAdvanced Operator Algebra Research