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An interesting proof of the nonexistence of a continuous bijection between ℝ<sup><i>n</i></sup>and ℝ<sup>2</sup>for<i>n</i><i>≠</i>2

An interesting proof of the nonexistence of a continuous bijection between ℝ<sup><i>n</i></sup>and ℝ<sup>2</sup>for<i>n</i><i>≠</i>2

Communicated by Joel Foisy