Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4658095 | Topology and its Applications | 2016 | 8 Pages |
Abstract
We show that every Baire class one function on a countable product of metric spaces is the pointwise limit of a sequence of continuous functions, each depending only on finitely many coordinates of the argument. It is proved also that this result does not extend to higher Baire classes (with continuous functions replaced by arbitrary ones).
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
Vladimir Bykov,