Functors in Lorentzian geometry -- three variations on a theme
Differential Geometry
2023-02-22 v5
Abstract
We review three examples of functors from Lorentzian categories and their applications in finiteness results, singularity theorems and boundary constructions. The third example is a novel functor from the category of ordered measure spaces to the category of Lorentzian pre-length spaces in the sense of Kunzinger-S\"amann.
Cite
@article{arxiv.2205.01617,
title = {Functors in Lorentzian geometry -- three variations on a theme},
author = {Olaf Müller},
journal= {arXiv preprint arXiv:2205.01617},
year = {2023}
}
Comments
15 pages. The article is a contribution to the conference volume of the conference "Singularity theorems, causality and all that; a tribute to Roger Penrose" (2021) and is in large parts an overview article but also contains some new results