Real Analysis Exchange

Sums of quasicontinuous functions defined on psuedometrizable spaces

Ján Borsík

Abstract

It is shown that each real cliquish function $f$ defined on a pseudometrizable space is the sum of two quasicontinuous functions. If moreover $f$ is bounded (in the Baire class $\alpha$), then we can take the summands with this property.

Article information

Source
Real Anal. Exchange, Volume 22, Number 1 (1996), 328-337.

Dates
First available in Project Euclid: 1 June 2012

https://projecteuclid.org/euclid.rae/1338515224

Mathematical Reviews number (MathSciNet)
MR1433617

Subjects
Primary: 54C08: Weak and generalized continuity

Keywords
Quasicontinuity Cliquishness Sums

Citation

Borsík, Ján. Sums of quasicontinuous functions defined on psuedometrizable spaces. Real Anal. Exchange 22 (1996), no. 1, 328--337. https://projecteuclid.org/euclid.rae/1338515224

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