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Topic: Stone Cech
Replies: 49   Last Post: Mar 28, 2013 12:15 PM

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quasi

Posts: 10,305
Registered: 7/15/05
Re: Stone Cech
Posted: Mar 21, 2013 4:26 AM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

quasi wrote:
>Butch Malahide wrote:
>>David C. Ullrich wrote:
>>>Butch Malahide wrote
>>> >William Elliot wrote:
>>> >>David Hartley wrote:
>>> >> >William Elliot wrote:
>>> >> >>
>>> >> >>Perhaps you could illustrate with the five different
>>> >> >>one to four point point compactifications of two open
>>> >> >>end line segements.

>>> >> >
>>> >> > (There are seven.)

>>> >>
>>> >> Ok, seven non-homeomophic finite Hausdorff compactications.

>>> >
>>> >How many will there be if you start with n segments instead
>>> >of 2?

>>>
>>> Surely there's no simple formula for that?
>>>
>>> ...

>>
>> ...
>>
>>I wasn't necessarily expecting a *complete* answer, such as an
>>explicit generating function. Maybe someone could give a partial
>>answer, such as an asymptotic formula, or nontrivial upper and
>>lower bounds, or a reference to a table of small values, or the
>>ID number in the Encyclopedia of Integer Sequences, or just the
>>value for n = 3. (I got 21 from a hurried hand count.)

>
>For n = 3, my hand count yields 19 distinct compactifications,
>up to homeomorphism.
>
>Perhaps I missed some cases.


I found 1 more case.

My count is now 20.

quasi


Date Subject Author
3/14/13
Read Stone Cech
William Elliot
3/14/13
Read Re: Stone Cech
fom
3/15/13
Read Re: Stone Cech
fom
3/16/13
Read Re: Stone Cech
William Elliot
3/15/13
Read Re: Stone Cech
David C. Ullrich
3/17/13
Read Re: Stone Cech
William Elliot
3/17/13
Read Re: Stone Cech
David C. Ullrich
3/17/13
Read Re: Stone Cech
fom
3/18/13
Read Re: Stone Cech
David C. Ullrich
3/18/13
Read Re: Stone Cech
fom
3/18/13
Read Re: Stone Cech
David Hartley
3/19/13
Read Re: Stone Cech
William Elliot
3/19/13
Read Re: Stone Cech
David Hartley
3/19/13
Read Stone Cech
William Elliot
3/20/13
Read Re: Stone Cech
Butch Malahide
3/20/13
Read Re: Stone Cech
David C. Ullrich
3/20/13
Read Re: Stone Cech
Butch Malahide
3/20/13
Read Re: Stone Cech
Butch Malahide
3/21/13
Read Re: Stone Cech
quasi
3/21/13
Read Re: Stone Cech
quasi
3/21/13
Read Re: Stone Cech
quasi
3/21/13
Read Re: Stone Cech
quasi
3/21/13
Read Re: Stone Cech
Butch Malahide
3/21/13
Read Re: Stone Cech
quasi
3/22/13
Read Re: Stone Cech
Butch Malahide
3/22/13
Read Re: Stone Cech
Butch Malahide
3/22/13
Read Re: Stone Cech
Butch Malahide
3/22/13
Read Re: Stone Cech
quasi
3/22/13
Read Re: Stone Cech
David C. Ullrich
3/22/13
Read Re: Stone Cech
David C. Ullrich
3/22/13
Read Re: Stone Cech
Butch Malahide
3/23/13
Read Re: Stone Cech
Butch Malahide
3/23/13
Read Re: Stone Cech
David C. Ullrich
3/23/13
Read Re: Stone Cech
David C. Ullrich
3/23/13
Read Re: Stone Cech
Frederick Williams
3/23/13
Read Re: Stone Cech
David C. Ullrich
3/23/13
Read Re: Stone Cech
Frederick Williams
3/22/13
Read Re: Stone Cech
Butch Malahide
3/23/13
Read Re: Stone Cech
David C. Ullrich
3/22/13
Read Re: Stone Cech
Butch Malahide
3/23/13
Read Re: Stone Cech
quasi
3/23/13
Read Re: Stone Cech
Butch Malahide
3/23/13
Read Re: Stone Cech
Butch Malahide
3/24/13
Read Re: Stone Cech
quasi
3/24/13
Read Re: Stone Cech
Frederick Williams
3/24/13
Read Re: Stone Cech
quasi
3/25/13
Read Re: Stone Cech
Frederick Williams
3/28/13
Read Re: Stone Cech
Frederick Williams
3/25/13
Read Re: Stone Cech
quasi
3/19/13
Read Re: Stone Cech
David C. Ullrich

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