Aspects of $C^0$ causal theory

Abstract

This paper serves as an introduction to $C^0$ causal theory. We focus on those parts of the theory which have proven useful for establishing spacetime inextendibility results in low regularity -- a question which is motivated by the strong cosmic censorship conjecture in general relativity. This paper is self-contained; prior knowledge of causal theory is not assumed.

40 pages, 6 figures. v2: references fixed and proof of prop 3.7 fixed. v3: added acknowledgement to Mittag-Leffler program. v4: to appear in GRG