Foundations of and Applications for the Abstract Boundary Construction for Space-Time
The original content of this thesis is comprised of three parts. First, we investigate the foundations of the Abstract Boundary. We start by presenting a one-to-one correspondence between the set of envelopments and a subset of the set of distances on our manifold. This correspondence allows us to define the Abstract Boundary in terms of mathematical structures defined on the manifold, rather than having to use structures additional to the manifold. We take the ideas used in the correspondence...[Show more]
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