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Tanu R.
Posts:
638
Registered:
12/13/04


Re: Onto [0,1]
Posted:
Apr 25, 2013 7:00 PM


Butch Malahide write:
> 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.
As opposed to a homogenous topology which continuosly reaches all limits.



