## New answers tagged convex-polytopes

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### A continuous version of Carathéodory's convex hull theorem

An example can be built on the solution of "Family of sets with no section" in my PIGTIKAL; see pages 86 and 94.

3
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### A continuous version of Carathéodory's convex hull theorem

There could be an obstruction to continuity due to a lack of uniqueness of the representation of $o$ as convex combination. For example define $\Gamma_t$ to be, for $t\in\mathbb R$, the $\vee$-...

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