ERRATUM TO “ISOMORPHISM AND EMBEDDING INTO MARKOV SHIFTS OFF UNIVERSALLY NULL SETS”

Regrettably in Theorem 1.6 [1] (and consequently also Theorem 1.7), the state-ment concerning synchronized systems is incorrect. A counterexample can be found in [2]. The source of the error is the fact that in a synchronized subshiftX, although the subshifts of finite type in X are plentiful, they may not exhaust the entropy of the system (nor need there be a Bernoulli measure of maximal entropy). The results for the other classes of systems mentioned in Theorem 1.6 are unchanged. I am grateful to Dominik Kwietniak for pointing out this error and for providin