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Needs:
Smooth Manifolds
Needed by:
None.
Links:
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Product Manifolds

Why

If we have two manifolds, is there product a manifold?

Result

The answer is yes.

Let $X$ and $Y$ be manifolds. Then $X \times Y$ is a manifold and $\dim X \times Y = \dim X + \dim Y$.1

  1. Future editions will include an account. ↩︎
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