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Plane Geometry is about flat shapes like lines, circles and triangles , shapes that can be drawn on a piece of paper

3 votes
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287 views

Generalization of notion of convexity

I am searching for the correct term for the following, if it exists. A set $X\subset \mathbb{R}^2$ is called $r$-convex if for any two points $x_1, x_2\in X$ such that there exists an arc of radius $ …