Real Analysis Exchange

On sets of discrete convergence points of sequences of real functions.

Jolanta Wesołowska

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Abstract

The aim of the paper is to characterize the class of sets of points at which a sequence of real functions of a distinguish family $\mathcal{F}\subset \mathbb{R}^X$ discretely converges.

Article information

Source
Real Anal. Exchange Volume 29, Number 1 (2003), 107-120.

Dates
First available: 9 June 2006

Permanent link to this document
http://projecteuclid.org/euclid.rae/1149860202

Mathematical Reviews number (MathSciNet)
MR2061296

Zentralblatt MATH identifier
1070.26005

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

Keywords
Sequence of functions sets of convergence points discrete convergence

Citation

Wesołowska, Jolanta. On sets of discrete convergence points of sequences of real functions. Real Analysis Exchange 29 (2003), no. 1, 107--120. http://projecteuclid.org/euclid.rae/1149860202.


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