## Real Analysis Exchange

- Real Anal. Exchange
- Volume 25, Number 2 (1999), 497-958

### On Sets of Convergence Points of Sequences of Some Real Functions

#### 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.