I've been having some difficulty finding an atlas for $\mathbb{R}/{2\pi \mathbb{Z}}$. The way I have been thinking of this so far is by using the standard projection map $\pi$ on open intervals of length less than $2 \pi$ but I am having some trouble with details and getting stuck proving compatibility of the charts. Can somebody help me find an atlas for this quotient space? Thank you.
2026-03-27 23:01:31.1774652491
An Atlas for $\mathbb{R}/{2\pi \mathbb{Z}} $
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