On linear neighborhood assignments and dually discrete spaces (Q946610)
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 linear neighborhood assignments and dually discrete spaces |
scientific article; zbMATH DE number 5346288
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On linear neighborhood assignments and dually discrete spaces |
scientific article; zbMATH DE number 5346288 |
Statements
On linear neighborhood assignments and dually discrete spaces (English)
0 references
23 September 2008
0 references
In this paper the concept of a linear neighborhood assignment is introduced. It is shown that every Lindelöf space is a linear \(D\)-space, and every generalized ordered space is dually discrete, which gives a positive answer to a question posed by Buzyakova, Tkachuk and Wilson.
0 references
\(D\)-space
0 references
linear \(D\)-space
0 references
generalized ordered space
0 references
dually discrete space
0 references
0 references
