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banach-spaces sg.symplectic-geometry convex-geometry convex-polytopes polygons

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asked Dec 25, 2023 at 9:14

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Density of the set of convex polygons in the Banach-Mazur distance

Is the set of convex polygons dense in the set of convex domains in $\mathbb{R}^2$, for the Banach-Mazur distance?

Any insight for a negative or positive answer is very much welcome!

banach-spaces sg.symplectic-geometry convex-geometry convex-polytopes