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arxiv: math/0409092 · v2 · submitted 2004-09-07 · 🧮 math.GN · math.CO

The LSB theorem implies the KKM lemma

classification 🧮 math.GN math.CO
keywords lemmatheoremconsequenceimpliesknaster-kuratowski-mazurkiewiczlusternik-schnirelman-borsukprove
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We prove the lemma of Knaster-Kuratowski-Mazurkiewicz as a consequence of the Lusternik-Schnirelman-Borsuk theorem.

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