3 papers
gr-qc2026
Global hyperbolicity meets order completeness
E. Minguzzi
Recently, an order completeness property has attracted attention in some low regularity spacetime geometry literature, where it was named `chronocompleteness'. In this work we prov…
gr-qc2025
Results on Lorentzian metric spaces
E. Minguzzi
We provide a short introduction to ``Lorentzian metric spaces" i.e., spacetimes defined solely in terms of the two-point Lorentzian distance. As noted in previous work, this struct…
math.MG2024
Lorentzian metric spaces and GH-convergence: the unbounded case
A. Bykov, E. Minguzzi, S. Suhr
We introduce a notion of Lorentzian metric space which drops the boundedness condition from our previous work and argue that the properties defining our spaces are minimal. In fact…