## Real Analysis Exchange

### An Almost Continuous Nonextendable Function

Harvey Rosen

#### Abstract

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 $I = [0,1]$.

#### Article information

Source
Real Anal. Exchange, Volume 23, Number 2 (1999), 567-570.

Dates
First available in Project Euclid: 14 May 2012