Luzin's topological problem

作者：Ostrovsky Alexey^*

来源：Topology and Its Applications, 2017, 230: 45-50.

DOI：10.1016/j.topol.2017.08.007

• Luzin's problem
• Borel measurable
• Decomposing
• Resolvable

A resolvably measurable function is a real-valued function for which the preimage of each open set is resolvable. It is shown that resolvably measurable functions f : X subset of R -> Y subset of R. (a subclass of Delta(0)(2)-measurable functions) have a decomposition into countably many continuous restrictions.

• 出版日期2017-10-1