Geodesic
Selfduality of the system of convex subsets of a partially ordered set
Commentationes Mathematicae Universitatis Carolinae, Tome 34 (1993) no. 3, pp. 593-595 Cet article a éte moissonné depuis la source 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.
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.
Classification : 06A06, 06A10
Keywords: partially ordered set; convex subset; selfduality 
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     author = {Zelina, Miron},
     title = {Selfduality of the system of convex subsets of a partially ordered set},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {593--595},
     year = {1993},
     volume = {34},
     number = {3},
     mrnumber = {1243092},
     zbl = {0784.06002},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_1993_34_3_a22/}
}
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Zelina, Miron. Selfduality of the system of convex subsets of a partially ordered set. Commentationes Mathematicae Universitatis Carolinae, Tome 34 (1993) no. 3, pp. 593-595. http://geodesic.mathdoc.fr/item/CMUC_1993_34_3_a22/