| Title:
|
Selfduality of the system of convex subsets of a partially ordered set (English) |
| Author:
|
Zelina, Miron |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
34 |
| Issue:
|
3 |
| Year:
|
1993 |
| Pages:
|
593-595 |
| . |
| Category:
|
math |
| . |
| 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. (English) |
| Keyword:
|
partially ordered set |
| Keyword:
|
convex subset |
| Keyword:
|
selfduality |
| MSC:
|
06A06 |
| MSC:
|
06A10 |
| idZBL:
|
Zbl 0784.06002 |
| idMR:
|
MR1243092 |
| . |
| Date available:
|
2009-01-08T18:06:41Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118617 |
| . |
| Reference:
|
[1] Jakubík J.: Selfduality of the system of intervals of a partially ordered set.Czechoslov. Math. J. 41 (1991), 135-140. MR 1087633 |
| . |
