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Changed to a slightly more informative title and fixed a few typos
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YCor
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Is $A$a certain subset of the disc a convex set?

Some one asked me this question and iI thought about it and iI don't have any good idea to solve that.can Can some one help me and give me an idea to start solve that?

Draw a Cantor set $C$ on the circle and consider the set $A$ of all chords between points of $C$. Is $A$ a convex set?

Is $A$ a convex set?

Some one asked me this question and i thought about it and i don't have any good idea to solve that.can some one help me and give me an idea to start solve that?

Draw a Cantor set $C$ on the circle and consider the set $A$ of all chords between points of $C$. Is $A$ a convex set?

Is a certain subset of the disc a convex set?

Some one asked me this question and I thought about it and I don't have any good idea to solve that. Can some one help me and give me an idea to start solve that?

Draw a Cantor set $C$ on the circle and consider the set $A$ of all chords between points of $C$. Is $A$ a convex set?

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mahdi mz
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Is $A$ a convex set?

Some one asked me this question and i thought about it and i don't have any good idea to solve that.can some one help me and give me an idea to start solve that?

Draw a Cantor set $C$ on the circle and consider the set $A$ of all chords between points of $C$. Is $A$ a convex set?