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

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Bacle H

Posts: 283
Registered: 4/8/12
Re: Onto [0,1]
Posted: Apr 21, 2013 8:47 AM
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On Sunday, April 21, 2013 12:56:53 AM UTC-7, William Elliot wrote:
> Can an uncountable compact Hausdorff be continuously mapped onto [0,1]?

Isn't every compact metric space the continuous image of the Cantor set?



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