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.