Compact universals (Q1880701)
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: Compact universals |
scientific article; zbMATH DE number 2104469
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Compact universals |
scientific article; zbMATH DE number 2104469 |
Statements
Compact universals (English)
0 references
1 October 2004
0 references
The authors deal with function and set universals. Their main results connect the metrisability of the space \(X\) with properties of the parametrising space \(Y\). They show that a space \(X\) is metrizable if and only if it has a zero-set universal parametrised by a \(\sigma\)-compact space. The authors show also that if we weaken the condition on the parametrizing space to Lindelöf-\(\Sigma\) space, then \(X\) will not necessarily be a metrizable space, but it has a \(\sigma\)-disjoint basis.
0 references
(zero-set
0 references
open \(F_\sigma\)
0 references
open regular \(F_\sigma\)
0 references
continuous function) universals
0 references
(Lindelöf-\(\Sigma\)
0 references
compact
0 references
Moore
0 references
metric
0 references
strongly quasi-developable) spaces.
0 references
