Isomorphic ANTI-cores of caccc posets
The notions of an ANTI-order of a poset \(P\) (a special kind of a quasi-order on \(P)\), of an ANTI-perfect sequence and of an ANTI-core of \(P\) have been introduced by \textit{B. Li} [Discrete Math. 158, 173-184 (1996; Zbl 0859.06002)] in connection with the investigation of the fixed point property of \(P\). In the paper under review, the authors show that for some connected chain-complete and conditionally antichain-complete posets any two ANTI-perfect sequences have the same length and that their ANTI-cores are unique up to isomorphism.
scientific article; zbMATH DE number 1109966