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Zbl 1035.26006
Wesołowska, Jolanta
On sets of convergence points of sequences of some real functions. (English)
[J] Real Anal. Exch. 25, No. 2, 937-942 (2000). ISSN 0147-1937

The purpose of this paper is to characterize sets of convergence points of functions from various classes. The author considers the family of continuous (approximately continuous, Borel measurable) functions and derivatives. These characterizations are connected with the multiplicative (additive) class $\alpha$ of Borel sets.
[Ryszard Pawlak (\Lódź)]

MSC 2000:: *26A21 Classification of functions of one real variable
26A03 Elementary topology of the real line
26A15 Continuity and related questions (one real variable)

Keywords: sets of convergence points; Baire class $\alpha$; approximately continuous functions; Borel sets

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