I am having trouble with some definitional stuff, I am using Lee's Introduction to Smooth Manifolds if that helps. I know how to check if such a structure exists, but I don't know how to show what it is.

Thanks

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- Oct 4th 2010, 11:40 PMajskimGiven a smooth atlas, how does one find the maximal smooth atlas(ie smooth structure)
I am having trouble with some definitional stuff, I am using Lee's Introduction to Smooth Manifolds if that helps. I know how to check if such a structure exists, but I don't know how to show what it is.

Thanks - Oct 7th 2010, 09:54 PMTinyboss
I don't think you can say much other than showing existence and uniqueness. You can check whether two charts belong to the same maximal smooth atlas. But I don't know what you mean by finding it or showing what it is.