### The Real Projective Space is an example of an abstract (smooth) manifold

Yet another classical example of an abstract smooth manifold### Local Coordinates and the Local Immersion Theorem Explained

After struggling through these topics, I thought it best to write a piece about them### Solutions To Some Topology Problems

I like having my mathematics organized / in one place so I decided to write up some solutions### How the set of n by n orthogonal matrices forms a lie group.

Some knowledge of linear algebra and basic group theory is required!
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