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A surface is a two-dimensional topological manifold. The term can also be used to describe a smooth surface, depending on the context.

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If $A$ is the ring of continuous functions on a genus $g$ surface, can the genus of $X$ be s...

I was describing to a friend the result that a compact Hausdorff space is determined up to homeomorphism up to by its ring of continuous functions, and he asked how one could see the genus of a surfac …
Elle Najt's user avatar
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