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A domain of spacetime intervals in general relativity Martin, Keye Panangaden, Prakash Causality spacetime global hyperbolicity interval domains bicontinuous posets spacetime topology We prove that a globally hyperbolic spacetime with its causality relation is a bicontinuous poset whose interval topology is the manifold topology. This implies that 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. The ultimate reason for this is that globally hyperbolic spacetimes belong to a category that is equivalent to a special category of domains called interval domains. We obtain a mathematical setting in which one can study causality independently of geometry and differentiable structure, and which also suggests that spacetime emanates from something discrete. Schloss Dagstuhl – Leibniz-Zentrum für Informatik Keye Martin and Prakash Panangaden 2005 Is Part Of Dagstuhl Seminar Proceedings, Volume 4351, Spatial Representation: Discrete vs. Continuous Computational Models (2005) InProceedings Text doc-type:ResearchArticle publishedVersion application/pdf doi:10.4230/DagSemProc.04351.5 urn:nbn:de:0030-drops-1350 https://drops.dagstuhl.de/entities/document/10.4230/DagSemProc.04351.5 eng https://creativecommons.org/licenses/by/4.0/legalcode