This note contains a proof of the fact that a Jordan curve in ℝ2 with a continuous tangent line at each point admits a regular reparameterization. We extend the result both to more general curves in ℝn and to higher orders of differentiability. © 2009 Australian Mathematical Society.
|Journal||Journal of the Australian Mathematical Society|
|Publication status||Published - 1 Feb 2009|
- Jordan curve
- Order of differentiability
- Regular curve
- Tangent line