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I'm looking for a intuitive proof of Tucker's lemma and/or the Borsuk-Ulam theorem. The proof should not make use of topology, cohomology etc. as it should be understandable by undergraduates.

Thanks in advance!

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    [This proof](http://www.mi.ras.ru/~scepin/elem-proof-reduct.pdf) of Borsuk-Ulam seems to be elementary, I'm not sure it is intuitive (I haven't checked it in detail).2012-07-29
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    Thanks a lot for you help!2012-07-29

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