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(Solved): Suppose that f:xlongrightarrowY is a continuous function and Y is Hausdorff. Show that the set C={(a ...



Suppose that

f:xlongrightarrowY

is a continuous function and

Y

is Hausdorff. Show that the set

C={(a,b)inx\times x|f(a)=f(b)}

is closed in

x\times x

. Hint: You may want to consider the complement of the set.

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