Part of the Teubner-Texte zur Mathematik book series (TTZM, volume 125)
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A partially ordered set or poset P = (P, ≤) is a set P with a binary relation ≤ satisfying the following three conditions:
x ≤ x for all x ∈ P (reflexivity)
x ≤ y and y ≤ x imply x= y (antisymmetry)
x ≤ y and y ≤ z imply x ≤ z (transitivity).
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© Springer Fachmedien Wiesbaden 1991