Extension of bounded Baire-one functions vs Extension of unbounded Baire-one functions
Olena Karlova, Volodymyr Mykhaylyuk
TL;DR
This paper investigates the conditions and methods for extending bounded and unbounded Baire-one functions from subspaces to entire topological spaces, highlighting differences and similarities.
Contribution
It provides a comparative analysis of extension possibilities for bounded versus unbounded Baire-one functions in topological spaces.
Findings
Extension conditions differ for bounded and unbounded Baire-one functions.
Unbounded Baire-one functions have unique extension challenges.
The paper identifies specific topological properties affecting extensions.
Abstract
We compare possibilities of extension of bounded and unbounded Baire-one functions from subspaces of topological spaces.
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