Compactness of the space of causal curves

Details Compactness of the space of causal curves Compactness of the space of causal curves

2004-08-19

arxiv.org/abs/gr-qc/0408068v1

Class.Quant.Grav. 23 (2006) 1241-1252

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

15 pages

Scientific paper

10.1088/0264-9381/23/4/011

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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