2
$\begingroup$

Question: Describe the partitions of the equivalence relations for the map:

$f:(x,y) \mapsto x$

I had a different question on my homework, but I'm not really sure what the question is asking, so maybe if I see the solution for this one example it would clarify things.

1 Answers 1

3

This is a projection onto the x-axis, so the relation would be $(x_1,y_1) \sim (x_2,y_2) \iff x_1=x_2$. In other words, the plane is partitioned into vertical lines.

  • 0
    AH! I see x+y now.... its just slashes through the plane in a top left to bottom right pattern.2012-09-10