  We trace what happens with asymptotically free behavior of the running
coupling in $\phi^{3}$ theory in six-dimensional space-time if to compactify
two spatial dimensions on a 2D closed manifold. The result can be considered as
an effective 4D theory of infinitely many KK-type scalar fields with triple
interactions. The effective \emph{dimensional} coupling inherits running to
zero at high mass scales in a modified form depending on the size of the
compact manifold. Some physical implications are discussed.
