The authors give a constructive algorithm, adapting Hatcher's embedding-space techniques, that produces an explicit isotopy between any two projectivizations of the same affine knot in RP^3 and more generally in lens spaces.
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A constructive solution to the equivalence problem for knot projectivizations
The authors give a constructive algorithm, adapting Hatcher's embedding-space techniques, that produces an explicit isotopy between any two projectivizations of the same affine knot in RP^3 and more generally in lens spaces.