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5 votes

Can the Causal Structure recover the manifold topology for non-chronological spacetimes?

Regarding the title question: No, the topology cannot be recovered from the chronology relation for non-chronological spacetimes. For example, there are plenty of distinct Lorentzian manifolds for ...
Tim Campion's user avatar
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9 votes

Why/does 'low-dimension' topology end with dimension 4?

There are of course ways to construct difficult problems in high-dimensional manifold theory. One of the ways high-dimensional manifold theory differs strongly from low-dimensional manifold theory ...
Ryan Budney's user avatar
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28 votes

Why/does 'low-dimension' topology end with dimension 4?

Contrary to the assumption in your question, understanding manifolds of dimension 5 and higher is considered to be easier than understanding 3- and 4-dimensional manifolds. Why? Because in $({\ge}5)$-...
Kevin Walker's user avatar
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