Topological properties of the abstract boundary construction for general relativity and their application to space-time extensions
The abstract boundary construction of Scott and Szekeres provides a 'boundary' for any n-dimensional, paracompact, connected, Hausdorff, smooth space-time manifold. For a space-time, singularities and points at infinity may then be defined as objects within this boundary. The abstract boundary of a manifold is typically very large. Even so, one does not necessarily have to consider every abstract boundary point in order to provide detailed comments on the structure of the abstract boundary....[Show more]
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