Singular boundaries of space–times

Abstract
We give an example of a causally well‐behaved, singular space–time for which all singular‐boundary constructions which fall in a certain wide class—a class which includes both the g‐boundary and b‐boundary—yield pathological topological properties. Specifically, for such a construction as applied to this example, a singular boundary point fails to be T 1‐related to an event of the original space–time. This example suggests that there may not exist any useful, generally applicable notion of the singular boundary of a space–time.

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