Selfduality of the system of convex subsets of a partially ordered set
Zelina, Miron
Commentationes Mathematicae Universitatis Carolinae, Tome 34 (1993), p. 593-595 / Harvested from Czech Digital Mathematics Library
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For a partially ordered set $P$ let us denote by $Co P$ the system of all convex subsets of $P$. It is found the necessary and sufficient condition (concerning $P$) under which $Co P$ (as a partially ordered set) is selfdual.

Publié le : 1993-01-01
Classification:  06A06,  06A10 
@article{118617,
     author = {Miron Zelina},
     title = {Selfduality of the system of convex subsets of a partially ordered set},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {34},
     year = {1993},
     pages = {593-595},
     zbl = {0784.06002},
     mrnumber = {1243092},
     language = {en},
     url = {http://dml.mathdoc.fr/item/118617}
}

Zelina, Miron. Selfduality of the system of convex subsets of a partially ordered set. Commentationes Mathematicae Universitatis Carolinae, Tome 34 (1993) pp. 593-595. http://gdmltest.u-ga.fr/item/118617/

Jakubík J. Selfduality of the system of intervals of a partially ordered set, Czechoslov. Math. J. 41 (1991), 135-140. (1991) | MR 1087633