The density topology is maximally resolvable (Q5932589)
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: The density topology is maximally resolvable |
scientific article; zbMATH DE number 1603125
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The density topology is maximally resolvable |
scientific article; zbMATH DE number 1603125 |
Statements
The density topology is maximally resolvable (English)
0 references
10 June 2001
0 references
A result of \textit{J. G. Ceder} [Fundam. Math. 55, 87-93 (1964; Zbl 0139.40401)] is applied to show that the real line equipped with the density topology is the union of \(2^{\aleph_0}\) disjoint dense sets each meeting each nonempty open set in \(2^{\aleph_0}\) points.
0 references
density topology
0 references
maximally resolvable
0 references
