  Let $T(A,\mathcal{D})$ be a self-affine set generated by an expanding matrix
$A=\left[\begin{array}{rr} p & 0\cr -a & q \end{array}\right]$ and a product
digit set $\mathcal{D}=\{0,1,\dots,m-1\}\times \{0,1,\dots,n-1\}$. We provide a
necessary and sufficient condition for the $T(A,\mathcal{D})$ to be connected,
which generalizes the known results.

General Topology;Metric Geometry