arXiv:2205.01617 Abstract | arXiv Analytics

arXiv:2205.01617 [math.DG]Abstract References Reviews Resources

Functors in Lorentzian geometry -- three variations on a theme

Published 2022-05-03Version 1

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.

Comments: 12 pages. The article was written for 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

Categories: math.DG

Subjects: 53C50

Keywords: lorentzian geometry, variations, lorentzian pre-length spaces, third example, lorentzian categories

Tags: conference paper

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