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arXiv · 1701.00075

Extending Baire-one functions on compact spaces

Olena Karlova·Volodymyr Mykhaylyuk
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Abstract

We answer a question of O. Kalenda and J. Spurn\'{y} 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 $\beta X$.

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Olena Karlova, Volodymyr Mykhaylyuk. 2016-12-31. Extending Baire-one functions on compact spaces. https://arxiv.org/abs/1701.00075

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