I have printed a notes about differential geometry, and it says:(adsbygoogle = window.adsbygoogle || []).push({});

-A C^{oo}differentiable structure on a locally Euclidean, Hausdorff topological space M of dimension m is a collection of coordinate systems F

Then it specifies the conditions that F must satisfy, but I'm a little lazy and won't write it

Then it says:

-A C^{00}differentiable structure F which ismaximalis called an atlas.

Then the text do not specify what it means by maximal. this is my doubt, what is a maximal C^{00}differentiable structure

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# Hausdorff topological space M of dimension m

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