Descriptive transitivity, density of descriptive periodic points, and descriptive sensitivity do not satisfy the classical Banks theorem hierarchy in general, though some remain invariant under topological conjugacy.
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A Descriptive Perspective on Devaney's Chaos and Some Results on Topologically Conjugate Systems
Descriptive transitivity, density of descriptive periodic points, and descriptive sensitivity do not satisfy the classical Banks theorem hierarchy in general, though some remain invariant under topological conjugacy.