Drexel dragonThe Math ForumDonate to the Math Forum



Search All of the Math Forum:

Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.


Math Forum » Discussions » sci.math.* » sci.math.independent

Topic: Onto [0,1]
Replies: 40   Last Post: Apr 29, 2013 10:16 PM

Advanced Search

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]
Tanu R.

Posts: 286
Registered: 12/13/04
Re: Onto [0,1]
Posted: Apr 25, 2013 7:00 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

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.



Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© Drexel University 1994-2014. All Rights Reserved.
The Math Forum is a research and educational enterprise of the Drexel University School of Education.