Bing's example

Bing's example

In topology, Bing's theorem asserts that there exists a topological space "F" which is not a manifold, but such that the Cartesian product "F"×R with the real line is homeomorphic to R4. In particular, this shows that the Cartesian product of a manifold with a non-manifold may still be a manifold. The result is not true for differentiable manifolds, however.

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