Common

3-manifold

Mathematical space

3-manifold

Common card · No. 497484

In mathematics, a 3-manifold is a topological space that locally looks like a three-dimensional Euclidean space. A 3-manifold can be thought of as a possible shape of the universe. Just as a sphere looks like a plane (a tangent plane) to a small and close enough observer, all 3-manifolds look like our universe to a small enough observer. This is made more precise in the definition below.

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