Is the Minkowski sum of two connected sets, $A+B$, also connected?
Can I use translation mapping here?
2026-02-23 07:53:59.1771833239
Is the Minkowski sum of two connected sets also connected?
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Yes.
$A+B$ is the image of $A\times B$ under the continuous map $(x,y)\mapsto x+y.$
A product of connected spaces is connected, and a continuous image of a connected space is connected.