Sensitive open map semigroups on Peano continua having a free arc

Suhua Wang, Enhui Shi, Pingping Dong

Let $X$ be a Peano continuum having a free arc and let $C^0(X)$ be the semigroup of continuous self-maps of $X$. A subsemigroup $F\subset C^0(X)$ is said to be sensitive, if there…