I know in homeomorphism on $\mathbb T^1$ that if one orbit is dense then all orbit is dense. But i don't know in higher dimensional. Can any help me to find such exmaple or proof. Any kind of help will appreciate.
2026-03-31 20:09:02.1774987742
Is there exist simultaneously dense and not dense orbit in some homeomorphism on $\mathbb T^n$
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