Many interesting proofs in GR (regarding blackholes and singularities, etc.) involve topological methods.(adsbygoogle = window.adsbygoogle || []).push({});

However, I don't understand how a theory embodied in Einstein's equations, which appear to me to belocalrules of evolution, caneverchange the topology since a patch of spacetime around any event is locally equivalent to minkowski / flat-spacetime.

Said another way, how can a local theory _ever_ change the global topology?

I'm really having trouble picturing this.

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# Topology in GR

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