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Real-valued functions of real variable, analytic properties of functions and sequences, limits, continuity, smoothness of these.

8 votes
3 answers
746 views

How does the parity of $n$ affect the properties of $\mathbb{R}^n$? [closed]

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?