Abstract
We show that the causal structure determines a volume measurability up to sets of zero measure. In space-time manifolds this causal measurability, apart from sets of zero measure, agrees with the a priori four-dimensional Lebesgue measurability, provided the strong causality condition holds.
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Szabados, L.B. Causal measurability in chronological spaces. Gen Relat Gravit 19, 1091–1100 (1987). https://doi.org/10.1007/BF00759145
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DOI: https://doi.org/10.1007/BF00759145