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32. Let S be a set of n elements. Prove that, if n is even, the onl.pdf

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32. * Let S be a set of n elements. Prove that, if n is even, the only antichain of size (n2n) is the antichain of all 2n-subsets; if n is odd, prove that the only antichains of this size are the antichain of all 2n1-subsets and the antichain of all 2n+1 subsets..

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32. * Let S be a set of n elements. Prove that, if n is even, the only antichain of size (n2n) is the antichain of all 2n-subsets; if n is odd, prove that the only antichains of this size are the antichain of all 2n1-subsets and the antichain of all 2n+1 subsets.

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32. Let S be a set of n elements. Prove that, if n is even, the onl.pdf

  • 1. 32. * Let S be a set of n elements. Prove that, if n is even, the only antichain of size (n2n) is the antichain of all 2n-subsets; if n is odd, prove that the only antichains of this size are the antichain of all 2n1-subsets and the antichain of all 2n+1 subsets.