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Dynamics, Stability, and Noncommutative Algebra by Fabian Haiden (2015)

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people.math.harvard.edu/~haiden/256notes.pdf
Course Notes for Math 256, Harvard, fall 2015. Sections 3.2–3.3 and lecture 4 give topological entropy through open covers and separated/spanning orbit sets, including the compact metric setting and limiting definitions.

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