Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5778072 | Topology and its Applications | 2017 | 13 Pages |
Abstract
We answer two questions from Bykov (2016) [2] and prove that every Baire one function on a subspace of a countable perfectly normal product is the pointwise limit of a sequence of continuous functions, each depending on finitely many coordinates. It is proved also that a lower semicontinuous function on a subspace of a countable perfectly normal product is the pointwise limit of an increasing sequence of continuous functions, each depending on finitely many coordinates, if and only if the function has a minorant which depends on finitely many coordinates.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
Olena Karlova, Volodymyr Mykhaylyuk,