Lorentzian Functors and Closures of Relevant Subsets of Lorentzian Gromov-Hausdorff Space

Explore recent advances in Lorentzian length spaces theory in this 44-minute conference talk from the Workshop on "Non-regular Spacetime Geometry" at the Erwin Schrödinger International Institute for Mathematics and Physics. Delve into stability of causal and curvature properties under Lorentzian Gromov-Hausdorff convergence, and examine the denseness of connected n-dimensional causal spacetimes in the space of connected Lorentzian length spaces. Discover how this result impacts functors between ordered measure spaces and Lorentzian length spaces. Investigate conditions for Radon Lorentzian Gromov-Hausdorff measure, paving the way for differential calculus in Lorentzian length spaces. Gain insights from key articles in the field, including works by Müller, Minguzzi, Suhr, McCann, and Sämann.