A 3,10 torus knot is a knot that loops around a 2-torus (or doughnut) three times with one continuously strand of string that winds through the center hole ten times. Is this 3,10 torus considered topologically equivalent to a 2-torus?
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Under the interpretation given by anon in the comments, yes, what you have is a knotted torus, but a torus all the same (that is, homeomorphic to a torus). Think about slicing through it, then unravelling it from the torus it loops around, giving you a cylinder, then gluing it back together along the slice: that gives you a torus, so the original was just a torus, albeit embedded in 3-space in an amusing way.