About DML-CZ | FAQ | Conditions of Use | Math Archives | Contact Us
  Previous |  Up |  Next

Article

Zelina, Miron
Selfduality of the system of convex subsets of a partially ordered set. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 34 (1993), issue 3, pp. 593-595
MSC: 06A06, 06A10 | MR 1243092 | Zbl 0784.06002
Keywords:
partially ordered set; convex subset; selfduality
Summary:
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.
References:
[1] Jakubík J.: Selfduality of the system of intervals of a partially ordered set. Czechoslov. Math. J. 41 (1991), 135-140. MR 1087633
Partner of
EuDML logo