Extending Baire-one functions on topological spaces

Abstract

We investigate the possibility of extension of Baire-one functions from subspaces of topological spaces. In particular we prove that any Baire-one function on a Lindelöf hereditarily Baire completely regular space can be extended to a Baire-one function on any completely regular superspace.

Keywords

• Extending
• Baire-one
• functions
• topological
• spaces