  Consider a definably complete uniformly locally o-minimal expansion of the
second kind of a densely linearly ordered abelian group. Let $f:X \rightarrow
R^n$ be a definable map, where $X$ is a definable set and $R$ is the universe
of the structure. We demonstrate the inequality $\dim(f(X)) \leq \dim(X)$ in
this paper. As a corollary, we get that the set of the points at which $f$ is
discontinuous is of dimension smaller than $\dim(X)$. We also show that the
structure is defiably Baire in the course of the proof of the inequality.
