Representing Cliquish Functions as Quasiuniform Limits of Quasicontinuous Functions

Christian Richter

doi:rae/1212763961

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Home > Journals > Real Anal. Exchange > Volume 27 > Issue 1 > Article

2001/2002 Representing Cliquish Functions as Quasiuniform Limits of Quasicontinuous Functions

Christian Richter

Real Anal. Exchange 27(1): 209-222 (2001/2002).

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Abstract

It is shown that every cliquish function $f$ mapping a pseudometrizable space $X$ into a separable metric space $Y$ can be expressed as the quasiuniform limit of a sequence of quasicontinuous functions $f_k$.

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Christian Richter. "Representing Cliquish Functions as Quasiuniform Limits of Quasicontinuous Functions." Real Anal. Exchange 27 (1) 209 - 222, 2001/2002.

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Published: 2001/2002

First available in Project Euclid: 6 June 2008

zbMATH: 1059.54016

MathSciNet: MR1887852

Subjects:

Primary: 54C08

Keywords: Baire space , cliquish function , pointwise limit , pseudometrizable space , quasicontinuous function , quasiuniform limit , separable metric space

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Real Anal. Exchange

Vol.27 • No. 1 • 2001/2002

Michigan State University Press

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Christian Richter "Representing Cliquish Functions as Quasiuniform Limits of Quasicontinuous Functions," Real Analysis Exchange, Real Anal. Exchange 27(1), 209-222, (2001/2002)

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