Selfduality of the system of convex subsets of a partially ordered set

Miron Zelina

Commentationes Mathematicae Universitatis Carolinae (1993)

  • Volume: 34, Issue: 3, page 593-595
  • ISSN: 0010-2628

Abstract

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For a partially ordered set P let us denote by C o P the system of all convex subsets of P . It is found the necessary and sufficient condition (concerning P ) under which C o P (as a partially ordered set) is selfdual.

How to cite

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Zelina, Miron. "Selfduality of the system of convex subsets of a partially ordered set." Commentationes Mathematicae Universitatis Carolinae 34.3 (1993): 593-595. <http://eudml.org/doc/247491>.

@article{Zelina1993,
abstract = {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.},
author = {Zelina, Miron},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {partially ordered set; convex subset; selfduality},
language = {eng},
number = {3},
pages = {593-595},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Selfduality of the system of convex subsets of a partially ordered set},
url = {http://eudml.org/doc/247491},
volume = {34},
year = {1993},
}

TY - JOUR
AU - Zelina, Miron
TI - Selfduality of the system of convex subsets of a partially ordered set
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1993
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 34
IS - 3
SP - 593
EP - 595
AB - 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.
LA - eng
KW - partially ordered set; convex subset; selfduality
UR - http://eudml.org/doc/247491
ER -

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