let $\gamma$ be a countably infinite group. seward and tucker-drob proved that every free borel action of $\gamma$ on a polish space $x$ admits a borel equivariant map $\pi$ to the free part of the bernoulli shift $k^\gamma$, for any $k \geq 2$. our goal in this talk is to generalize this result by putting extra restrictions on the image of $\pi$. for instance, can we ensure that $\pi(x)$ is a proper coloring of the cayley graph of $\gamma$ for all $x \in x$? more generally, can we guarantee that the image of $\pi$ is contained in a given subshift of finite type? the main result of this talk is a positive answer to this question in a very broad (and, in some sense, optimal) setting. the main tool used in the proof of our result is a probabilistic technique for constructing continuous functions with desirable properties, namely a continuous version of the lov\'{a}sz local lemma.