The Friedmann Equations describe three possibilities for the shape of our using General Relativity, I read in a book that the shape of our Universe is a 3-sphere such that in any direction if you travel far enough you will end up at the same place from which you started. This solves the problem of whether the Universe is infinite or has a boundary, since in this scenario it is both infinite and has a boundary. My question is that the Mobius strip is also a 3D curve with one side one boundary and one can travel an infinite distance on its surface. Is it possible for a non euclidean 4D spacetime to be a mobius strip?
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