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How many topologically distinct finite but unbounded (compact) euclidean (0 curvature) 3 dimensional manifolds are there?

A 3D torus is one example. It is made by mathematically gluing the top face of a cube to the bottom, the right face to the left, and the front face to the back, without any rotations. Some rotations will make other manifolds. 

A 3D surface of a hypersphere is NOT an example because the space is curved, not Euclidean.

The usual Euclidean 3D space is NOT an example, because it is infinite, not finite. 

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    3 months ago
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