Large deviation principles with respect to the ττ-topology for exchangeable sequences: A necessary and sufficient condition

For an exchangeable sequence of random variables (Xn)n∈N(Xn)n∈N taking values in a Polish space, we obtain a necessary and sufficient condition for the large deviation principles with respect to the ττ-topology of the occupation measure Ln≔(1/n)∑k=0n-1δXk and of the process-level empirical measures.