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Borsuk-Ulam Theorem


Every continuous map f:S^n->R^n must identify a pair of antipodal points.


See also

Antipodal Points

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References

Dodson, C. T. J. and Parker, P. E. A User's Guide to Algebraic Topology. Dordrecht, Netherlands: Kluwer, pp. 121 and 284, 1997.

Referenced on Wolfram|Alpha

Borsuk-Ulam Theorem

Cite this as:

Weisstein, Eric W. "Borsuk-Ulam Theorem." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Borsuk-UlamTheorem.html

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