Definition Suppose $X$ is a topological space. Then $X$ is called ladder connected provided that any open cover $\mathcal{U}$ of $X$ has the following property: If $p,q\in X$, then there exists a finite number of open sets $U_{1},\ldots,U_{N}$ from $\mathcal{U}$ such that $p\in U_{1}$, $U_{1}\cap U_{2}\neq\emptyset$, $\ldots$ , $U_{N-1}\cap U_{N}\neq\emptyset$, and $q\in U_{N}$.