Date: Apr 25, 2013 6:46 PM
Author: Butch Malahide
Subject: Re: Onto [0,1]

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.