Danger: Amateur Surgeon

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This is the start screen from the Flash Game Alan Probe: Amateur Surgeon.  (I won’t include a link, but Google should find it for you.)

The surgery process is a somewhat drastic one, which can significantly change the homotopy type of a manifold, for example.  So how can it be useful for classifying manifolds within a homotopy type? The surgeon has to be kept under control somehow – and this is accomplished by appropriate algebra.

 

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