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Compactness of the space of causal curves

Keye Martin
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Abstract

We prove that the space of causal curves between compact subsets of a separable globally hyperbolic poset is itself compact in the Vietoris topology. Although this result implies the usual result in general relativity, its proof does not require the use of geometry or differentiable structure.

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Keye Martin. 2004-08-19. Compactness of the space of causal curves. https://doi.org/10.1088/0264-9381%2F23%2F4%2F011

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