We define some pointwise properties of topological dynamical systems and give pointwise conditions for such a system possesses positive topological entropy. We give sufficient conditions to obtain positive topological entropy for maps which are approximated by maps with the shadowing property in a uniform way.
A hierarchy of topological systems with completely positive entropy
Dominated Splitting, Partial Hyperbolicity and Positive Entropy
Pseudo-Automorphisms of positive entropy on the blowups of products of projective spaces
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