Ii–V–I turnaround

Baire one star function is a term from real analysis. A function $f:\mathbb{ℝ}\to \mathbb{ℝ}$ is in class Baire* one, written $f\in {\mathbf{B}}_1^{*}$, and is called a Baire one star function, if for each perfect set $P\in \mathbb{ℝ}$, there is an open interval $I\in \mathbb{ℝ}$, such that $P\cap I$ is nonempty, and the restriction $f{|}_{P\cap I}$ is continuous. The notion seems to have originated with B. Kerchheim in an article titled 'Baire one star functions' (Real Anal. Exch. 18 (1992/93), 385-399).

External links

• A paper which defines class Baire* one