The causal relation of a Lorentzian manifold ( without closed causal curves ) satisfies the first three conditions.
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A spacetime is stably causal if it cannot be made to contain closed causal curves by arbitrarily small perturbations of the metric.
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In simple terms, this structure categorizes sets of points in terms of the ( non-) existence of causal curves between the points.
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A new article called Causal structure has been created ( technically, it's a redirect from " causal spacetime structure " ) . " Causal past ", " causal curve " and " causal future " have been redirected to this new article . contribs ) 20 : 22, 15 November 2007 ( UTC)
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