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May 12, 2023 at 17:39 vote accept Leo Moos
May 12, 2023 at 15:28 answer added Connor Mooney timeline score: 3
May 12, 2023 at 14:15 comment added Leo Moos @OtisChodosh Ultimately I was hoping one could say that $\gamma_1$ intersects the first coordinate axis (to which it is tangent at the origin). For the Enneper surface, I think $\gamma_1$ would coincide with it. I phrased the question like this because I thought it might be easier to exclude this extreme case. So for example, to say that $\gamma_2$ cannot be the graph of $x_1 \mapsto \sqrt{-x_1}$.
May 12, 2023 at 13:21 comment added Otis Chodosh I'm a bit confused by the setup since how can the union of two curves be a single graph. But have you considered ennepers surface? If you intersect with the right tangent plane you'll get two straight lines (usually this is the xy plane through the origin)
May 12, 2023 at 9:53 history asked Leo Moos CC BY-SA 4.0