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

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quasi

Posts: 10,398
Registered: 7/15/05
Re: Stone Cech
Posted: Mar 21, 2013 4:03 AM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

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.

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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