Extended blocker, deletion, and contraction maps on antichains (Q1864298)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Extended blocker, deletion, and contraction maps on antichains |
scientific article; zbMATH DE number 1883691
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Extended blocker, deletion, and contraction maps on antichains |
scientific article; zbMATH DE number 1883691 |
Statements
Extended blocker, deletion, and contraction maps on antichains (English)
0 references
17 March 2003
0 references
The author defines several parametrized mappings on the lattice of all order ideals of a finite poset \(P\) with a least and a greatest element (they are called \((X,k)\)-blocker, \((X,k)\)-deletion, \((X,k)\)-contraction, where \(X\) is a subset of the set of all atoms of \(P\) and \(k\) is a positive integer less than the number of atoms of \(P\)). Properties of these mappings are studied and described.
0 references
lattice of order ideals
0 references
closure mapping
0 references
