On multiplication in spaces of continuous functions
Volume 122 / 2011
Colloquium Mathematicum 122 (2011), 247-253
MSC: 46J10, 54C30, 46B25.
DOI: 10.4064/cm122-2-10
Abstract
We introduce and examine the notion of dense weak openness. In particular we show that multiplication in $C(X)$ is densely weakly open whenever $X$ is an interval in $\mathbb{R}$.