Abstract
Every function \(f\colon [0,1]\to [-1,1]\) can be expressed as the sum of three extendable functions, as the maximum of two minimums of extendable functions and as the limit of a transfinite sequence of extendable functions.
Citation
Tomasz Natkaniec. "Extendability and almost continuity." Real Anal. Exchange 21 (1) 349 - 355, 1995/1996.
Information
Published: 1995/1996
First available in Project Euclid: 3 July 2012
zbMATH: 0843.26002
MathSciNet: MR1377548
Subjects:
Primary:
26A15
Secondary:
54C08
Keywords:
\(g\)-negligible set
,
Connectivity function
,
extendable function
,
peripherally continuous function
Rights: Copyright © 1995 Michigan State University Press
