  In the paper [Ba-Be-Mdz], using the Alexander-Spanier cochains based on the
normal coverings, the exact homology theory $\bar{H}^N_*(-,-;G)$, the so called
Alexander-Spanier homology theory, is defined. In the paper we will use the
method of construction of the strong homology theory to show that the homology
theory $\bar{H}^N_*(-,-;G)$ is a strong shape invariant.
