Decomposing Baire class 1 functions into continuous functions
Volume 145 / 1994
Fundamenta Mathematicae 145 (1994), 171-180
DOI: 10.4064/fm-145-2-171-180
Abstract
It is shown to be consistent that every function of first Baire class can be decomposed into $ℵ_1$ continuous functions yet the least cardinal of a dominating family in $^ωω$ is $ℵ_2$. The model used in the one obtained by adding $ω_2$ Miller reals to a model of the Continuum Hypothesis.
