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Lorentzian Gromov-Hausdorff convergence and pre-compactness
28a75differential-geometrygeneral-relativity-and-quantum-cosmologymathematical-physicsmetric-geometry
The goal of the paper is to introduce a convergence à la Gromov-Hausdorff for Lorentzian spaces, building on $ε$-nets consisting of causal diamonds and relying only on the time separation function. This yields a geometric notion of convergence, which can be applied to synthetic Lorentzian spaces (Lo
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