## Real Analysis Exchange

### On Some Subclasses of Baire 1 Functions

#### Abstract

We will consider the classes of first return continuous, weakly first return continuous with respect to some trajectory and almost continuous functions in the sense of Stallings and we will show that for the Baire $1$ functions the classes of functions mentioned above are equal. Moreover we will define the class $\mathcal{B}_{1}^{\mathcal{F}}$ of strongly $\mathcal{F}$-almost everywhere first return recoverable functions and shall present the relation between family $\mathcal{B}_{1}^{\mathcal{F}}$ and Baire $1$ functions.

#### Article information

Source
Real Anal. Exchange, Volume 27, Number 2 (2001), 415-422.

Dates
First available in Project Euclid: 2 June 2008

Permanent link to this document
https://projecteuclid.org/euclid.rae/1212412845

Mathematical Reviews number (MathSciNet)
MR1922658

Zentralblatt MATH identifier
1048.26006

#### Citation

Ćwiek, Ilona; Pawlak, Ryszard J.; Świątek, Bożena. On Some Subclasses of Baire 1 Functions. Real Anal. Exchange 27 (2001), no. 2, 415--422. https://projecteuclid.org/euclid.rae/1212412845

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