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arXiv · 2511.18389

Intrinsic Timed Hausdorff Convergence and Its Implications

Raquel Perales
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Abstract

Sakovich--Sormani introduced several notions of distance between certain classes of Lorentzian manifolds. These distances use the Hausdorff and Gromov-Hausdorff distances and therefore extend naturally to a broader class of spaces. Here we show that, for timed-metric-spaces, intrinsic timed-Hausdorff convergence implies (timeless) Gromov-Hausdorff convergence as well as big bang convergence, among other related implications for future-developed convergence.

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Raquel Perales. 2026-05-28. Intrinsic Timed Hausdorff Convergence and Its Implications. https://doi.org/10.1007/s40590-026-00902-4

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