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Spacetime topology from causality

Keye Martin·Prakash Panangaden
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Abstract

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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Keye Martin, Prakash Panangaden. 2004-07-26. Spacetime topology from causality. https://arxiv.org/abs/gr-qc/0407093

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