Induced open projections and $C^{\ast }$-smoothness
Volume 132 / 2013
Colloquium Mathematicum 132 (2013), 73-94
MSC: Primary 54B20; Secondary 54F15, 54D40, 54C10.
DOI: 10.4064/cm132-1-6
Abstract
We show that there exists a $C^{\ast }$-smooth continuum $X$ such that for every continuum $Y$ the induced map $C(f)$ is not open, where $f:X\times Y\rightarrow X$ is the projection. This answers a question of Charatonik (2000).
