The title assertion is proven, and two corollaries are established. First, the topology of every past and future distinguishing spacetime is determined by its causal structure. Second, in every spacetime the path topology of Hawking, King, and McCarthy codes topological, differential, and conformal structure.
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Research Article| August 26 2008
The class of continuous timelike curves determines the topology of spacetime
J. Math. Phys. 18, 1399–1404 (1977)
David B. Malament; The class of continuous timelike curves determines the topology of spacetime. J. Math. Phys. 1 July 1977; 18 (7): 1399–1404. https://doi.org/10.1063/1.523436
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