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Topic: Compactifications
Replies: 6   Last Post: Mar 24, 2013 2:05 PM

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David C. Ullrich

Posts: 21,553
Registered: 12/6/04
Re: Compactifications
Posted: Mar 23, 2013 1:50 PM
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On Sat, 23 Mar 2013 00:30:27 -0700, William Elliot <marsh@panix.com>
wrote:

>Number of non-homeomophic n-point Hausdorff compactifications

Compactifications of _what_?

>
>R
>n . 1 . 2 . 3
>c . 1 . 1 . 0 . 0 ...
>
>Rx{0,1}
>n . 1 . 2 . 3 . 4 . 5
>c . 1 . 3 . 2 . 1 . 0 . 0 ...
>
>Rx{0,1,2}
>n . 1 . 2 . 3 . 4 . 5 . 6 . 7
>c . 1 . ? . ? . ? . ? . 1 . 0 . 0 ...
>
>Is there a general pattern for Rx{0,1,2,.. k}?
>n . 1 . ??? . 2k. 2k+1
>c . 1 . ??? . 1 . 0 .. 0 ...


And what the heck does that notation mean?





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