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

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William Elliot

Posts: 1,234
Registered: 1/8/12
Re: Onto [0,1]
Posted: Apr 21, 2013 9:13 PM
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On Sun, 21 Apr 2013, baclesback@gmail.com wrote:
> 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?
>

Yes; is every compact Hausdorff space metrizable?



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