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Engel, A continuous version of a Sperner-type theorem, Elektron

· 1986

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On $k$-antichains in the unit $n$-cube

math.CA · 2019-08-13 · conditional · novelty 5.0

The (n-1)-dimensional Hausdorff measure of any k-antichain in [0,1]^n is at most kn, and for n=2 there exist k-antichains attaining exactly 2k.

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  • On $k$-antichains in the unit $n$-cube math.CA · 2019-08-13 · conditional · none · ref 4

    The (n-1)-dimensional Hausdorff measure of any k-antichain in [0,1]^n is at most kn, and for n=2 there exist k-antichains attaining exactly 2k.