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Homework on 8 November 2019:

[To Be Turned in on Wednesday]

  1. Let $f\colon X\to Y$ be a function.
    1. Show that $f(f^{-1}(B))\subseteq B$ for all subsets $B$ of $Y$.
    2. Give an example of a function $f$ and a set $B$ that shows that the subset need not be an equality.
    3. What condition on $f$ would guarantee equality? (Prove that you are right).


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Created: 8 Nov 2019
Last modified: 9 Nov 2019 at 2:50 PM
Comments to: dpvc@union.edu
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