I was able to explain the following corollary of Gromov's theorem to the undergraduates. It took few lectures, but the material brakes nicely into interesting parts. This could be considered as a smooth introduction to h-principle

There is a length preserving map from unit sphere to the plane.

I was able to explain the following corollary of Gromov's theorem to the undergraduates. It took few lectures, but the material brakes nicely into interesting parts. This could be considered as a student-friendly introduction to h-principle

There is a length preserving map from unit sphere to the plane.