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math.GT2006
Convergence and isotopy type for graphs of finite total curvature
Elizabeth Denne, John M Sullivan
Generalizing Milnor's result that an FTC (finite total curvature) knot has an isotopic inscribed polygon, we show that any two nearby knotted FTC graphs are isotopic by a small iso…
math.GT2006
Curves of Finite Total Curvature
John M Sullivan
We consider the class of curves of finite total curvature, as introduced by Milnor. This is a natural class for variational problems and geometric knot theory, and since it include…