Two properties of maximal antichains in strict chain product posets
DOI:
https://doi.org/10.11575/cdm.v15i3.62663Abstract
We present two results on maximal antichains in the strict chain product poset [t1+1]×[t2+1]×⋯×[tn+1]. First, we prove that these maximal antichains are also maximum. Second, we prove that there is a bijection between maximal antichains in the strict chain product poset [t1+1]×[t2+1]×⋯×[tn+1] and antichains in the nonstrict chain product poset [t1]×[t2]×⋯×[tn].
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