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How does the parity of a dimension$n$ affect itsthe properties of $\mathbb{R}^n$?

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Thomas Rot
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For R2, R2, ... , Rn, doesDoes the parity of the spacedimension of $\mathbb{R}^n$ affect its structure/properties? As in, does it make a difference if n$n$ is even or odd?

For R2, R2, ... , Rn, does the parity of the space affect its structure/properties? As in, does it make a difference if n is even or odd?

Does the parity of the dimension of $\mathbb{R}^n$ affect its structure/properties? As in, does it make a difference if $n$ is even or odd?

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How does the parity of a dimension affect its properties?

For R2, R2, ... , Rn, does the parity of the space affect its structure/properties? As in, does it make a difference if n is even or odd?