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1997/1998 An Almost Continuous Nonextendable Function
Harvey Rosen
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Real Anal. Exchange 23(2): 567-570 (1997/1998).


An example is constructed under the Continuum Hypothesis showing that almost continuity and the Strong Cantor Intermediate Value Property do not imply extendability. This answers a question in \cite{R11}. Results about stationary sets are given for the class of extendable functions from \(I\) into \(I\), where \(I = [0,1]\).


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Harvey Rosen. "An Almost Continuous Nonextendable Function." Real Anal. Exchange 23 (2) 567 - 570, 1997/1998.


Published: 1997/1998
First available in Project Euclid: 14 May 2012

zbMATH: 0943.26009
MathSciNet: MR1639980

Primary: 26A15 , 54C08

Keywords: {almost continuous function} , {extendable connectivity function} , {stationary set} , {the Strong Cantor Intermediate Value Property}

Rights: Copyright © 1999 Michigan State University Press

Vol.23 • No. 2 • 1997/1998
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