On the Dedekind-MacNeille closure of an ordered set and a theorem of Novák (Q1601398)
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 the Dedekind-MacNeille closure of an ordered set and a theorem of Novák |
scientific article; zbMATH DE number 1760645
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the Dedekind-MacNeille closure of an ordered set and a theorem of Novák |
scientific article; zbMATH DE number 1760645 |
Statements
On the Dedekind-MacNeille closure of an ordered set and a theorem of Novák (English)
0 references
7 May 2003
0 references
\textit{V. Novák} [Math. Ann. 179, 337-342 (1969; Zbl 0162.03401)] proved that if \(G\) is a \(\sigma \)-dense and \(\delta \)-dense subset of an ordered set \(H\) then \(H\) and \(G\) have the same dimension. The author of the paper under review directly proves a particular case of this result, namely that the Dedekind-MacNeille closure of an ordered set \(S\) has the same dimension as \(S\).
0 references
ordered set
0 references
Dedekind-MacNeille completion
0 references
dimension
0 references
0 references
0.8670441
0 references
0 references
0.8524145
0 references
0 references
0.8515032
0 references
