COMMENTS AND REPLIES: Reply to 'Comment on 'A note on non-compact Cauchy surfaces''

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In my previous paper (Kim 2008 Class. Quantum. Grav. 25 238002), it is shown that when a spacetime has a non-compact Cauchy surface Σ, then its causal structure is completely determined by its causally admissible system. In this paper, it is shown that when the Cauchy surface Σ is compact, then there exists an open subset containing Σ such that the causally admissible system determines the causal structure of the open subset.

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