f is a continuous function from [0,1] to [0,1]
Why is closed?
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Let the sequence converge to with for all . Then . So and is closed.
Originally Posted by bram kierkels f is a continuous function from [0,1] to [0,1]
Why is closed? Or, note that and thus if then is (trivially) continuous and . In fact, although harder to prove it's true that this is the case in any order topology.
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