3-manifold - Some famous examples of 3-manifolds

In mathematics, a 3-manifold is a 3-dimensional manifold. The topological, piecewise-linear, and smooth categories are all equivalent in three dimensions, so little distinction is usually made in whether we are dealing with say, topological 3-manifolds, or smooth 3-manifolds. The study of 3-manifolds is considered a field of mathematics, unlike, for example, the study of 167-dimensional manifolds. There are close connections to other fields, such as 4-manifolds, surfaces, knot theory, topological quantum field theory, and gauge theory. 3-manifold theory is a part o ...

Including:

• 3-manifold - Some famous examples of 3-manifolds
• 3-manifold - Some important classes of 3-manifolds
• 3-manifold - Some important structures on 3-manifolds
• 3-manifold - Foundational results
• 3-manifold - Some famous conjectures

Read more here: » 3-manifold: Encyclopedia - 3-manifold