Exercise · ZW-CONTINUOUS-IMAGE-OF-CONNECTED-SPACE-010 · ★★★ Advanced
Let \(X=\{1,2,3\}\) with open sets \(\varnothing,\{1\},\{1,2\},X\). How many continuous maps are there from \(X\) to the discrete space \(\{a,b,c\}\)?
Choose one option.
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Explanation
The image is connected, so every continuous map is constant, one for each element of \(\{a,b,c\}\): 3.
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