Baire one star function

Baire one star function

Baire one star function is a term from real analysis. A function f: mathbb{R} o 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

* [http://ftp.ams.org/tran/1998-350-07/S0002-9947-98-02267-3/S0002-9947-98-02267-3.pdf A paper which defines class Baire* one]


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