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Continuum theory, point-set topology, spaces with algebraic structure, foundations, dimension theory, local and global properties.

7 votes
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Is the derivative the unique operation on points in the plane that preserves convexity?

Let $C(n)$ be the space of multisets of size $n$ of points in the Euclidean plane, topologised appropriately, and consider a surjective continuous map: $$D:C(n)\rightarrow C(n-1)$$ Such that the conve …
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