Every continuous map $S^n\to\RR^n$ identifies an antipodal pair.Suggest a slogan
For every continuous map \(f\colon S^n \to \RR^n\) there is a point \(x\in S^n\) with \(f(x) = f(-x)\) [@Hat02].
Borsuk--Ulam theorem
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For every continuous map \(f\colon S^n \to \RR^n\) there is a point \(x\in S^n\) with \(f(x) = f(-x)\) [@Hat02].