Can projection of convex sets onto convex sets be non-convex yet connected? If so is there any necessary and sufficient conditions?
Can projection of $n$ dimensional convex sets in $\mathbb R^{n'}$ onto $m$ dimensional convex sets in $\mathbb R^{m'}$ with $m<m'<n<n'$ produce non-convex connected sets of dimension smaller than $m$?
Post Closed as "Needs details or clarity" by user44191, Emil Jeřábek, Philippe Gaucher, Hugh Thomas, YCor
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Martin Sleziak
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