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G of f injective, but g not injective

  • Thread starter gotmilk04
  • Start date
  • #1
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Homework Statement


Give an example of a map f:A[tex]\rightarrow[/tex]B and a map g:B[tex]\rightarrow[/tex]C where g of f is injective but g is not injective.


Homework Equations





The Attempt at a Solution


I'm not really sure what they are asking for.

Homework Statement





Homework Equations





The Attempt at a Solution

 

Answers and Replies

  • #2
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In a nutshell, find two functions, f and g, so that g [itex]\circ [/itex] f is one-to-one, but f [itex]\circ [/itex] g is not.
 
  • #3
45
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So it's basically just guess and check?
 
  • #4
243
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It doesn't have to be. Think about arranging it so that g is injective on the image of f but not on the entire domain of g.
 

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