The class of continuous timelike curves determines the topology of spacetime
- 1 July 1977
- journal article
- conference paper
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 18 (7) , 1399-1404
- https://doi.org/10.1063/1.523436
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.Keywords
This publication has 2 references indexed in Scilit:
- A new topology for curved space–time which incorporates the causal, differential, and conformal structuresJournal of Mathematical Physics, 1976
- On the structure of causal spacesMathematical Proceedings of the Cambridge Philosophical Society, 1967