On separability of the functional space with the open-point and bi-point-open topologies (Q1677527)
From MaRDI portal
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On separability of the functional space with the open-point and bi-point-open topologies |
scientific article |
Statements
On separability of the functional space with the open-point and bi-point-open topologies (English)
0 references
10 November 2017
0 references
Spaces \(C(X)\) of continuous real-valued functions \(f: X\to {\mathbb R}\) supplied with open-point and bi-point-open topologies are studied in the paper. Conditions on a topological space \(X\) are found under which the space \(C(X)\) is separable relative to such topologies on \(C(X)\).
0 references
open-point topology
0 references
bi-point-open topology
0 references
separability
0 references
strongly null set
0 references
