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Re: Onto [0,1]
Posted:
Apr 25, 2013 6:46 PM


On Apr 25, 5:12 pm, quasi <qu...@null.set> wrote: > Prove or disprove: > > If X is a topological space and f: X > [0,1] is a > continuous surjection, then X has a subspace homeomorphic > to the Cantor set.
No, X could have the discrete topology.



