Szpilrajn, Arrow and Suzumura: concise proofs of extension theorems and an extension (Q2895982)
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: Szpilrajn, Arrow and Suzumura: concise proofs of extension theorems and an extension |
scientific article; zbMATH DE number 6055461
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Szpilrajn, Arrow and Suzumura: concise proofs of extension theorems and an extension |
scientific article; zbMATH DE number 6055461 |
Statements
13 July 2012
0 references
binary relations
0 references
orderings
0 references
ordering extensions
0 references
Szpilrajn, Arrow and Suzumura: concise proofs of extension theorems and an extension (English)
0 references
Due to its usefulness in various themes of economics, Szpilrajn's theorem, which states that every quasi-ordering has an ordering extension, has been applied by many researchers. Szpilrajn, Arrow and Suzumura have also presented important extensions of it. This paper provides a systematic approach in order to prove the various extension theorems given by the aforementioned researchers, as well as a generalisation of their results.
0 references
