Netto's theorem

In mathematical analysis, Netto's theorem states that continuous bijections of smooth manifolds preserve dimension. That is, there does not exist a continuous bijection between two smooth manifolds of different dimension.

Source: Wikipedia — Netto's theorem (CC BY-SA 4.0)

Netto's theorem

In mathematical analysis, Netto's theorem states that continuous bijections of smooth manifolds preserve dimension. That is, there does not exist a continuous bijection between two smooth manifolds of different dimension.

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Source: Wikipedia "Netto's theorem" · CC BY-SA 4.0

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