A new topology for curved space–time which incorporates the causal, differential, and conformal structures

SW Hawking, AR King, PJ McCarthy - Journal of mathematical physics, 1976 - pubs.aip.org
A new topology is proposed for strongly causal space-times. Unlike the standard manifold
topology (which merely characterizes continuity properties), the new topology determines
the causal, differential, and conformal structures of space-time. The topology is more
appealing, physical, and manageable than the topology previously proposed by Zeeman for
Minkowski space. It thus seems that many calculations involving the above structures may
be made purely topological.
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