Blur shift spaces

The paper’s Theorem 4.11 (Curtis–Hedlund–Lyndon type characterization for blur shifts) is consistent and matches the framework developed earlier in the text. The candidate solution, however, makes critical topological mistakes: it asserts that every pseudo cylinder is open and that finitely defined sets are open, both of which contradict the paper’s definitions and remarks. It also implicitly uses global continuity of the shift map where it is known not to hold in general for blur shifts. Hence the equivalence proof offered by the model is not valid, while the paper’s statement and proof outline are sound.