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jeffdanielk
Lv 4
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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