4 papers
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…
Global hyperbolicity and manifold topology from the Lorentzian distance
A. Bykov, E. Minguzzi
In this work, we seek characterizations of global hyperbolicity in smooth Lorentzian manifolds that do not rely on the manifold topology and that are inspired by metric geometry. I…
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…
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…