Real Analysis Exchange

On Sets of Convergence Points of Sequences of Some Real Functions

Jolanta Wesołowska

Full-text: Open access

Abstract

The purpose of this paper is to study a set of convergence points of sequence of real functions from a given class. Here, continuous func\-tions, Borel measurable functions, approximately continuous functions and derivatives are considered.

Article information

Source
Real Anal. Exchange Volume 25, Number 2 (1999), 937-942.

Dates
First available: 3 January 2009

Permanent link to this document
http://projecteuclid.org/euclid.rae/1230995427

Mathematical Reviews number (MathSciNet)
MR1778545

Zentralblatt MATH identifier
1035.26006

Subjects
Primary: 26A21: Classification of real functions; Baire classification of sets and functions [See also 03E15, 28A05, 54C50, 54H05]
Secondary: 26A03: Foundations: limits and generalizations, elementary topology of the line

Keywords
sequence of functions sets of convergence points Baire class $\a$ functions approximately continuous functions

Citation

Wesołowska, Jolanta. On Sets of Convergence Points of Sequences of Some Real Functions. Real Analysis Exchange 25 (1999), no. 2, 937--942. http://projecteuclid.org/euclid.rae/1230995427.


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