I presented this (pdf, in french) in a short talk for a differential topology course.

I also dabbled with (pdf, in french) the approximation of compact hypersurfaces. I wasn’t able to get a constructive result in time, so I left it as a very rough draft. [I posted a much improved follow up in April.] In the document, I sketch a proof of the following.

**Theorem.** Let be a compact hypersuface of . There exists a sequence of polynomials defined on a compact of such that for sufficiently large, is a hypersurface and

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[…] Figure 1. Approximation of , where , using Bernstein polynomials of degrees , and . This figure is recuperated from a previous post. […]