On sets of convergence points of sequences of some real functions. (Q1852346)
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scientific article; zbMATH DE number 1848815
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On sets of convergence points of sequences of some real functions. |
scientific article; zbMATH DE number 1848815 |
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On sets of convergence points of sequences of some real functions. (English)
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5 January 2003
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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.
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sets of convergence points
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Baire class \(\alpha\)
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approximately continuous functions
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Borel sets
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