3 papers
gr-qc2026
Curvature bounds, regularity and inextendibility of spacetimes
Tobias Beran, John Harvey, Clemens Sämann
We provide a completely new relation between curvature bounds and definiteness of the causal character of maximizers by exploiting the robust notion of synthetic curvature. This en…
stat.ML2025
A Survey of Dimension Estimation Methods
James A. D. Binnie, PaweÅ DÅotko, John Harvey +2
It is a standard assumption that datasets in high dimension have an internal structure which means that they in fact lie on, or near, subsets of a lower dimension. In many instance…
math.DG2025
A Toponogov globalisation result for Lorentzian length spaces
Tobias Beran, John Harvey, Lewis Napper +1
In the synthetic geometric setting introduced by Kunzinger and Sämann, we present an analogue of Toponogov's Globalisation Theorem which applies to Lorentzian length spaces with l…