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Exercise 50 - Chapter 1

edited April 2018

Choose two sets $$X$$ and $$Y$$ with at least three elements each and choose a surjective, non-identity function $$f: X \to Y$$ between them. Write down two different partitions $$P$$ and $$Q$$ of $$Y$$, and then find $$f^{\ast}P$$ and $$f^{\ast}Q$$.

Comment Source:Duplicate of https://forum.azimuthproject.org/discussion/1917/exercise-50-chapter-1