Spacetime topology from causality
classification
🌀 gr-qc
keywords
causalitytopologyspacetimeabstractbicontinuousdifferentiablegeometryglobally
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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 mathematical setting in which one can study causality independent of geometry and differentiable structure.
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