Assume, the universe  is shaped as an analytic manifold. Such a manifold is locally flat, say R(3) and can always be embedded into a certain R(n). In case of big bang: the universe was a POINT. But a point of what surrounding R(n)? And if the manifold is compact and expanding, it is still a subset of R(n). What are the most common used models of these expanding manifolds, into what R(n)? If the universe is not compact, then it is hyperbolic or R(n) and then it cannot expand. If the singularaity was dipol like, the universe could be toroidal (compact)

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