The class of continuous timelike curves determines the topology of spacetime
Abstract
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.
- Publication:
-
Journal of Mathematical Physics
- Pub Date:
- July 1977
- DOI:
- 10.1063/1.523436
- Bibcode:
- 1977JMP....18.1399M
- Keywords:
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- 04.20.Cv;
- Fundamental problems and general formalism