Imbedding of one continuous decomposition of Euclidean $E^n$-space into another

The author proves that if $G$ is a continuous decomposition of $E^n$ ($n>2$) into zero-dimensional compacta such that $\dim P_G(G^*)=0$, then the space $E^n/G$ is embeddable in $E^{n+2}$. He employs the notion of one embedding of a continuous decomposition into another. Furthermore, he considers several sufficient conditions under which $E^n/G$ is embeddable into $E^{n+1}$.
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