Abstract
Show that if \(f :X \rightarrow X\) is a continuous map on a compact metric space, then \(f(\omega (x))=\omega (x)\) for all \(x \in X\).
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Barreira, L., Valls, C. (2019). Topological Dynamics. In: Dynamical Systems by Example. Problem Books in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-030-15915-3_8
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DOI: https://doi.org/10.1007/978-3-030-15915-3_8
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