A rigidity result on the ideal boundary structure of smooth space-times

Abstract

Following a survey of the abstract boundary definition of Scott and Szekeres, a rigidity result is proved for the smooth case, showing that the topological structure of the regular part of this boundary in invariantly defined.

14 pages, 2 figures; to appear in Clas. Quant. Grav

References in corpus (1)

• The abstract boundary---a new approach to singularities of manifolds

Cited by in corpus (4)

• Generalizations of the Abstract Boundary singularity theorem
• The Endpoint Theorem
• What actually happens when you approach a gravitational singularity?
• The dependence of the abstract boundary classification on a set of curves I: An algebra of sets on bounded parameter property satisfying sets of curves