Real Analysis Exchange

On Lacuna's 7-tuples for Ideal Convergence

Dariusz Borzestowski and Ireneusz Recław

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Abstract

We prove the ideal versions of Lunina's Theorem on convergence and divergence sets of real continuous functions defined on a metric space for $F_\sigma$-ideals and ideals with Baire property.

Article information

Source
Real Anal. Exchange, Volume 35, Number 2 (2009), 479-486.

Dates
First available in Project Euclid: 22 September 2010

Permanent link to this document
https://projecteuclid.org/euclid.rae/1285160545

Mathematical Reviews number (MathSciNet)
MR2683612

Zentralblatt MATH identifier
1222.28006

Subjects
Primary: 28A20: Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence
Secondary: 03E15: Descriptive set theory [See also 28A05, 54H05]

Keywords
ideal convergence continuous functions convergence sets Lunina's theorem

Citation

Borzestowski, Dariusz; Recław, Ireneusz. On Lacuna's 7-tuples for Ideal Convergence. Real Anal. Exchange 35 (2009), no. 2, 479--486. https://projecteuclid.org/euclid.rae/1285160545


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