Israel Journal of Mathematics

, Volume 66, Issue 1–3, pp 364–368 | Cite as

A combinatorial proof of the Borsuk-Ulam antipodal point theorem

  • Benjamin Weiss


We give a proof of Tucker’s Combinatorial Lemma that proves the fundamental nonexistence theorem: There exists no continuous map fromB n toS n − 1 that maps antipodal points of∂B n to antipodal points ofS n − 1.


Chromatic Number Interior Vertex Antipodal Point Combinatorial Proof Positive Half 
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Copyright information

© The Weizmann Science Press of Israel 1989

Authors and Affiliations

  • Benjamin Weiss
    • 1
  1. 1.Institute of MathematicsThe Hebrew University of JerusalemJerusalemIsrael

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