Let and be two continous functions on a topological space with values on a hausdorff space . Prove that the set is closed in . Any help is appreciated.
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Originally Posted by Inti Let and be two continous functions on a topological space with values on a Hausdorff space . Prove that the set is closed in . Suppose that . Because Y is Hausdroff then . Because are continuous then their intersection is open. Clearly . Does this show that the complement of is open?
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