Singular points and projective limits in relativity

Mathematics – Mathematical Physics

Scientific paper

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Scientific paper

We describe a modification of Schmidt's b-boundary for a space-time, using a projective limit construction. The resulting boundary provides endopoints for all incomplete inextensible curves that are not totally or partially trapped, and every boundary point is an endpoint of such a curve. Boundary points are always Hausdorff separated from interior points, and the construction gives separate past and future singularities in the k=+1, Λ=0, Friedmann cosmology.

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