| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 5778011 | Topology and its Applications | 2017 | 5 Pages |
Abstract
In this paper, we give necessary and sufficient conditions for the space B1(X) of first Baire class functions on a Tychonoff space X, with pointwise topology, to be (strongly) sequentially separable. Also we claim that there are spaces X such that B1(X) is not sequentially separable space, but Cp(X) is sequentially separable (the Sorgenfrey line, the Niemytzki plane).
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
Alexander V. Osipov, Evgenii G. Pytkeev,