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Spacetime topology from causality

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arxiv gr-qc/0407093 v1 pith:IRA5KLT2 submitted 2004-07-26 gr-qc

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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