Timed-Gromov-Hausdorff distance is bi-Lipschitz equivalent to Sakovich-Sormani's intrinsic timed-Hausdorff distance, inducing identical convergence and a compactness theorem via Gromov's classical result, with additional analysis of causal structure stability.
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Convergence of Timed-Metric Spaces and Causality
Timed-Gromov-Hausdorff distance is bi-Lipschitz equivalent to Sakovich-Sormani's intrinsic timed-Hausdorff distance, inducing identical convergence and a compactness theorem via Gromov's classical result, with additional analysis of causal structure stability.