On invertibility and zero-augmentability of N-gon orders (Q1262881)
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: On invertibility and zero-augmentability of N-gon orders |
scientific article; zbMATH DE number 4125440
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On invertibility and zero-augmentability of N-gon orders |
scientific article; zbMATH DE number 4125440 |
Statements
On invertibility and zero-augmentability of N-gon orders (English)
0 references
1989
0 references
The author considers classes of finite partially ordered sets \((X,<)\) representable in R (R denotes a collection of closed and connected regions in the plane) by proper inclusion for which there is a map f: \(X\to R\) such that for all \(x,y\in X\), \(x<y\Leftrightarrow f(x)<f(y)\). It is proved that certain classes of posets that have representations by N- gons in the plane are neither invertible nor zero-augmentable.
0 references
N-gon order
0 references
plane geometry
0 references
