English

Extending Baire-one functions on compact spaces

General Topology 2017-01-03 v1

Abstract

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

Cite

@article{arxiv.1701.00075,
  title  = {Extending Baire-one functions on compact spaces},
  author = {Olena Karlova and Volodymyr Mykhaylyuk},
  journal= {arXiv preprint arXiv:1701.00075},
  year   = {2017}
}
R2 v1 2026-06-22T17:38:16.314Z