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In mathematics, topology examines the properties of space (such as connectedness and compactness) that are preserved under continuous deformations, such as stretching and bending, but not tearing or gluing.
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Prove that Cauchy hypersurface is closed
Witten in https://arxiv.org/abs/1901.03928 at page#18 proved that Cauchy hypersurface S is closed hypersurface by contradiction. He wrote
suppose that p ∈ M is in the closure of S but not in S. Let γ …
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Why future infinity have no future end points?
I am studying Hawking's area theorem from the book the large scale structure of spacetime by Hawking and Ellis. At the end of page#318, it said: null geodesic generators of future infinity have no fut …