Extending Baire-one functions on compact spaces

preprint2016arXivOpen access

We answer a question of O. Kalenda and J. Spurný and give an example of a completely regular hereditarily Baire space $X$ and a Baire-one function $f:X\to [0,1]$ which can not be extended to a Baire-one function on $βX$ .

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Extending Baire-one functions on compact spaces

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