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Topic: Cech Stone Compactification
Replies: 7   Last Post: Jan 2, 2013 3:43 AM

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David Hartley

Posts: 463
Registered: 12/13/04
Re: Cech Stone Compactification
Posted: Jan 1, 2013 6:24 AM
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In message <Pine.NEB.4.64.1301010134040.10663@panix2.panix.com>, William
Elliot <marsh@panix.com> writes
>What more general definitions of Cech Stone compactifications are
>there. Any beyond the construction with filters and the construction
>for Tychonov T0 spaces?

The one you referred to in your original post, i.e. in Wikipedia.
Defined categorically in terms of the universal property and constructed
using continuous functions into [0,1]. That's not always a
compactification in the usual sense, which is why they added the
comments which puzzled you.

David Hartley

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