We discuss the usual account of causal structure that relies on the temporal
precedence constraint between cause-effect pairs. In particular, we consider
the subtle interplay between local and global characters of time and causality
encoded in General Relativity. We find that the temporal precedence constraint
must be relaxed. We argue that these results could lead to an enriched
structure of the physical causality.Comment: 13 pages, accepted by the Revue des Questions Scientifique