45 citations · 61 across the 5 of their papers we have counts for
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gr-qc2004★ 6 cited
Compactness of the space of causal curves
Keye Martin
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 t…
gr-qc2004★ 45 cited
A domain of spacetime intervals in general relativity
Keye Martin, Prakash Panangaden
Beginning from only a countable dense set of events and the causality relation, it is possible to reconstruct a globally hyperbolic spacetime in a purely order theoretic manner. Th…
gr-qc2004★ 8 cited
Spacetime topology from causality
Keye Martin, Prakash Panangaden
We prove that a globally hyperbolic spacetime with its causality relation is a bicontinuous poset whose interval topology is the manifold topology. This provides an abstract mathem…