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2001/2002 On Some Subclasses of Baire 1 Functions
Ryszard J. Pawlak, Ilona Ćwiek, Bożena Świątek
Real Anal. Exchange 27(2): 415-422 (2001/2002).


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.


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Ryszard J. Pawlak. Ilona Ćwiek. Bożena Świątek. "On Some Subclasses of Baire 1 Functions." Real Anal. Exchange 27 (2) 415 - 422, 2001/2002.


Published: 2001/2002
First available in Project Euclid: 2 June 2008

zbMATH: 1048.26006
MathSciNet: MR1922658

Primary: 26A21 , ‎54C30 , 54C35‎

Keywords: Baire 1 function , first return continuous function , first return recoverable function , trajectory

Rights: Copyright © 2001 Michigan State University Press

Vol.27 • No. 2 • 2001/2002
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