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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.

3 votes

Classification of surfaces composed of circles

I recently spent an unhealthy amount of time thinking about whether or not you can cover R3 with circles. Turns out you can. For your own search it might be worth looking at Szulkin, Andrzej, 'R 3 is …
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