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Dimension Invariance Theorem

R^n is homeomorphic to R^m iff n=m. This theorem was first proved by Brouwer.

See also

Domain Invariance Theorem

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Cite this as:

Weisstein, Eric W. "Dimension Invariance Theorem." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/DimensionInvarianceTheorem.html

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