Extending Baire-one functions on compact spaces

2016/12/31 by Karlova, Olena, Mykhaylyuk, Volodymyr
#26A21 #54C20 #54C30 #54C50 #FOS: Mathematics #General Topology (math.GN)

paper · doi:10.48550/arxiv.1701.00075

Abstract

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→ [0,1] which can not be extended to a Baire-one function on βX.

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