Answer by Joshua P. Swanson for Construction of a poset from infnitely many...
The construction does not work in the stated level of generality. For instance, take an infinite complete binary tree. You obviously get infinite anti-chains there. Your levels are of size n rather...
View ArticleConstruction of a poset from infnitely many finite antichains
The question is about a solution to the following exercise:Find an infinite partial order that has no infinite antichain but is not a union of finitely many chains.Let's take infinitely many finite...
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