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

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William Elliot

Posts: 1,230
Registered: 1/8/12
Compactifications
Posted: Mar 23, 2013 3:30 AM
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Number of non-homeomophic n-point Hausdorff compactifications

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 ...




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